/usr/lib/ocaml/cryptokit/cryptokit.mli is in libcryptokit-ocaml-dev 1.11-1build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040 1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056 1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072 1073 | (***********************************************************************)
(* *)
(* The Cryptokit library *)
(* *)
(* Xavier Leroy, projet Cristal, INRIA Rocquencourt *)
(* *)
(* Copyright 2002 Institut National de Recherche en Informatique et *)
(* en Automatique. All rights reserved. This file is distributed *)
(* under the terms of the GNU Library General Public License, with *)
(* the special exception on linking described in file LICENSE. *)
(* *)
(***********************************************************************)
(* $Id$ *)
(** The Cryptokit library provides a variety of cryptographic primitives
that can be used to implement cryptographic protocols in
security-sensitive applications. The primitives provided include:
- Symmetric-key ciphers: AES, DES, Triple-DES, ARCfour,
in ECB, CBC, CFB and OFB modes.
- Public-key cryptography: RSA encryption, Diffie-Hellman key agreement.
- Hash functions and MACs: SHA-1, SHA-256, SHA-512. SHA-3, RIPEMD-160, MD5,
and MACs based on AES and DES.
- Random number generation.
- Encodings and compression: base 64, hexadecimal, Zlib compression.
To use this library, link with
[ocamlc unix.cma nums.cma cryptokit.cma]
or
[ocamlopt unix.cmxa nums.cmxa cryptokit.cmxa].
*)
(** {6 General-purpose abstract interfaces} *)
(** A <I>transform</I> is an arbitrary mapping from sequences of characters
to sequences of characters. Examples of transforms include
ciphering, deciphering, compression, decompression, and encoding
of binary data as text. Input data to a transform is provided
by successive calls to the methods [put_substring], [put_string],
[put_char] or [put_byte]. The result of transforming the input
data is buffered internally, and can be obtained via the
[get_string], [get_substring], [get_char] and [get_byte] methods. *)
class type transform =
object
method put_substring: bytes -> int -> int -> unit
(** [put_substring b pos len] processes [len] characters of
byte sequence [b], starting at character number [pos],
through the transform. *)
method put_string: string -> unit
(** [put_string str] processes all characters of string [str]
through the transform. *)
method put_char: char -> unit
(** [put_char c] processes character [c] through the transform. *)
method put_byte: int -> unit
(** [put_byte b] processes the character having code [b]
through the transform. [b] must be between [0] and [255]
inclusive. *)
method finish: unit
(** Call method [finish] to indicate that no further data will
be processed through the transform. This causes the transform
to flush its internal buffers and perform all appropriate
finalization actions, e.g. add final padding. Raise [Error
Wrong_data_length] if the total length of input data
provided via the [put_*] methods is not an integral number
of the input block size (see
{!Cryptokit.transform.input_block_size}). After calling
[finish], the transform can no longer accept additional
data. Hence, do not call any of the [put_*] methods nor
[flush] after calling [finish]. *)
method flush: unit
(** [flush] causes the transform to flush its internal buffers
and make all output processed up to this point available through
the [get_*] methods.
Raise [Error Wrong_data_length] if the total length
of input data provided via the [put_*] methods is not
an integral number of the input block size
(see {!Cryptokit.transform.input_block_size}).
(For padded block ciphers, the input block size used here
is that of the underlying block cipher, without the padding.)
Unlike method [finish], method [flush] does not add final
padding and leaves the transform in a state where it can
still accept more input. *)
method available_output: int
(** Return the number of characters of output currently available.
The output can be recovered with the [get_*] methods. *)
method get_string: string
(** Return a character string containing all output characters
available at this point. The internal output buffer is emptied;
in other terms, all currently available output is consumed
(and returned to the caller) by a call to [get_string]. *)
method get_substring: bytes * int * int
(** Return a triple [(buf,pos,len)], where [buf] is the internal
output buffer for the transform, [pos] the position of the
first character of available output, and [len] the number of
characters of available output. The byte array [buf] will be
modified later, so the caller must immediately copy
characters [pos] to [pos+len-1] of [buf] to some other
location. The internal output buffer is emptied;
in other terms, all currently available output is consumed
(and returned to the caller) by a call to [get_substring]. *)
method get_char: char
(** Return the first character of output, and remove it from the
internal output buffer. Raise [End_of_file] if no output
is currently available. *)
method get_byte: int
(** Return the code of the first character of output,
and remove it from the internal output buffer.
Raise [End_of_file] if no output is currently available. *)
method input_block_size: int
(** Some transforms (e.g. unpadded block ciphers) process
input data by blocks of several characters. This method
returns the size of input blocks for the current transform.
If [input_block_size > 1], the user of the transform
must ensure that the total length of input data provided
between calls to [flush] and [finish] is an integral
multiple of [input_block_size].
If [input_block_size = 1], the transform can accept
input data of arbitrary length. *)
method output_block_size: int
(** Some transforms (e.g. block ciphers) always produce output
data by blocks of several characters. This method
returns the size of output blocks for the current transform.
If [output_block_size > 1], the total length of output data
produced by the transform is always an integral multiple
of [output_block_size].
If [output_block_size = 1], the transform produces output data
of arbitrary length. *)
method wipe: unit
(** Erase all internal buffers and data structures of this transform,
overwriting them with zeroes. A transform may contain sensitive
data such as secret key-derived material, or parts of the
input or output data. Calling [wipe] ensures that this sensitive
data will not remain in memory longer than strictly necessary,
thus making invasive attacks more difficult.
It is thus prudent practice to call [wipe] on every
transform that the program no longer needs.
After calling [wipe], the transform is no longer in a working
state: do not call any other methods after calling [wipe]. *)
end
val transform_string: transform -> string -> string
(** [transform_string t s] runs the string [s] through the
transform [t] and returns the transformed string.
The transform [t] is wiped before returning, hence can
no longer be used for further transformations. *)
val transform_channel:
transform -> ?len:int -> in_channel -> out_channel -> unit
(** [transform_channel t ic oc] reads characters from input channel [ic],
runs them through the transform [t], and writes the transformed
data to the output channel [oc]. If the optional [len] argument
is provided, exactly [len] characters are read from [ic] and
transformed; [End_of_file] is raised if [ic] does not contain
at least [len] characters. If [len] is not provided, [ic] is
read all the way to end of file.
The transform [t] is wiped before returning, hence can
no longer be used for further transformations. *)
val compose: transform -> transform -> transform
(** Compose two transforms, feeding the output of the first transform
to the input of the second transform. *)
(** A <I>hash</I> is a function that maps arbitrarily-long character
sequences to small, fixed-size strings. *)
class type hash =
object
method add_substring: bytes -> int -> int -> unit
(** [add_substring b pos len] adds [len] characters from byte array
[b], starting at character number [pos], to the running
hash computation. *)
method add_string: string -> unit
(** [add_string str] adds all characters of string [str]
to the running hash computation. *)
method add_char: char -> unit
(** [add_char c] adds character [c] to the running hash computation. *)
method add_byte: int -> unit
(** [add_byte b] adds the character having code [b]
to the running hash computation. [b] must be between [0] and [255]
inclusive. *)
method result: string
(** Terminate the hash computation and return the hash value for
the input data provided via the [add_*] methods. The hash
value is a string of length [hash_size] characters.
After calling [result], the hash can no longer accept
additional data. Hence, do not call any of the [add_*] methods
after [result]. *)
method hash_size: int
(** Return the size of hash values produced by this hash function,
in bytes. *)
method wipe: unit
(** Erase all internal buffers and data structures of this hash,
overwriting them with zeroes. See {!Cryptokit.transform.wipe}. *)
end
val hash_string: hash -> string -> string
(** [hash_string h s] runs the string [s] through the hash function [h]
and returns the hash value of [s].
The hash [h] is wiped before returning, hence can
no longer be used for further hash computations. *)
val hash_channel: hash -> ?len:int -> in_channel -> string
(** [hash_channel h ic] reads characters from the input channel [ic],
computes their hash value and returns it.
If the optional [len] argument is provided, exactly [len] characters
are read from [ic] and hashed; [End_of_file] is raised if [ic]
does not contain at least [len] characters.
If [len] is not provided, [ic] is read all the way to end of file.
The hash [h] is wiped before returning, hence can
no longer be used for further hash computations. *)
(** {6 Utilities: random numbers and padding schemes} *)
(** The [Random] module provides random and pseudo-random number generators
suitable for generating cryptographic keys, nonces, or challenges. *)
module Random : sig
class type rng =
object
method random_bytes: bytes -> int -> int -> unit
(** [random_bytes buf pos len] stores [len] random bytes
in byte array [buf], starting at position [pos]. *)
method wipe: unit
(** Erases the internal state of the generator.
Do not call [random_bytes] after calling [wipe]. *)
end
(** Generic interface for a random number generator. *)
val string: rng -> int -> string
(** [random_string rng len] returns a string of [len] random bytes
read from the generator [rng]. *)
val secure_rng: rng
(** A high-quality random number generator, using hard-to-predict
system data to generate entropy. This generator either uses
the OS-provided RNG, if any, or reads from
[/dev/random] on systems that supports it, or interrogates
the EGD daemon otherwise (see [http://egd.sourceforge.net/]).
For EGD, the following paths are tried to locate the Unix socket
used to communicate with EGD:
- the value of the environment variable [EGD_SOCKET];
- [$HOME/.gnupg/entropy];
- [/var/run/egd-pool]; [/dev/egd-pool]; [/etc/egd-pool].
The method [secure_rng#random_bytes] fails
if no suitable RNG is available.
[secure_rng#random_bytes] may block until enough entropy
has been gathered. Do not use for generating large quantities
of random data, otherwise you could exhaust the entropy sources
of the system. *)
val system_rng: unit -> rng
(** [system_rng ()] returns a random number generator derived
from the OS-provided RNG. It raises [Error No_entropy_source]
if the OS does not provide a secure RNG. Currently, this function
is supported under Win32, and always fails under Unix. *)
val device_rng: string -> rng
(** [device_rng devicename] returns a random number generator
that reads from the special file [devicename], e.g.
[/dev/random] or [/dev/urandom]. *)
val egd_rng: string -> rng
(** [device_rng egd_socket] returns a random number generator
that uses the Entropy Gathering Daemon ([http://egd.sourceforge.net/]).
[egd_socket] is the path to the Unix socket that EGD uses for
communication. *)
val hardware_rng: unit -> rng
(** A hardware random number generator based on the [RDRAND] instruction
of the x86 architecture. Available only on recent Intel and AMD
x86 processors in 64-bit mode. Raises [Error No_entropy_source]
if not available. *)
val pseudo_rng: string -> rng
(** [pseudo_rng seed] returns a pseudo-random number generator
seeded by the string [seed]. [seed] must contain at least
16 characters, and can be arbitrarily longer than this,
except that only the first 55 characters are used.
Technically, the first 16 characters of [seed] are used as
a key for the AES cipher in CBC mode, which encrypts the output
of a lagged Fibonacci generator [X(i) = (X(i-24) + X(i-55)) mod 256]
seeded with the first 55 characters of [seed].
While this generator is believed to have good statistical properties,
it still does not generate ``true'' randomness: the entropy of
the strings it creates cannot exceed the entropy contained in
the seed. As a typical use,
[Random.pseudo_rng (Random.string Random.secure_rng 20)] returns a
generator that can generate arbitrarily long strings of pseudo-random
data without delays, and with a total entropy of approximately
160 bits. *)
end
(** The [Padding] module defines a generic interface
for padding input data to an integral number of blocks,
as well as two popular padding schemes. *)
module Padding : sig
class type scheme =
object
method pad: bytes -> int -> unit
(** [pad buf used] is called with a byte array [buf]
containing valid input data at positions [0, ..., used-1].
The [pad] method must write padding characters in positions
[used] to [Bytes.length str - 1]. It is guaranteed that
[used < Bytes.length str], so that at least one character of
padding must be added. The padding scheme must be unambiguous
in the following sense: from [buf] after padding, it must be
possible to determine [used] unambiguously. (This is what
method {!Cryptokit.Padding.scheme.strip} does.) *)
method strip: bytes -> int
(** This is the converse of the [pad] operation: from a padded
byte array [buf] as built by method [pad], [strip buf] determines
and returns the starting position of the padding data,
or equivalently the length of valid, non-padded input data
in [buf]. This method must raise [Error Bad_padding] if
[buf] does not have the format of a padded block as produced
by [pad]. *)
end
(** Generic interface of a padding scheme. *)
val length: scheme
(** This padding scheme pads data with [n] copies of the character
having code [n]. The integer [n] lies between 1 and the block
size (included). This constraint ensures non-ambiguity.
This scheme is defined in RFC 2040 and in PKCS 5 and 7. *)
val _8000: scheme
(** This padding scheme pads data with one [0x80] byte, followed
by as many [0] bytes as needed to fill the block. *)
end
(** {6 Cryptographic primitives (simplified interface)} *)
(** The [Cipher] module implements the AES, DES, Triple-DES, ARCfour
and Blowfish symmetric ciphers. Symmetric ciphers are presented
as transforms parameterized by a secret key and a ``direction''
indicating whether encryption or decryption is to be performed.
The same secret key is used for encryption and for decryption. *)
module Cipher : sig
type direction = Encrypt | Decrypt
(** Indicate whether the cipher should perform encryption
(transforming plaintext to ciphertext) or decryption
(transforming ciphertext to plaintext). *)
type chaining_mode =
ECB
| CBC
| CFB of int
| OFB of int
| CTR
| CTR_N of int
(** Block ciphers such as AES or DES map a fixed-sized block of
input data to a block of output data of the same size.
A chaining mode indicates how to extend them to multiple blocks
of data. The five chaining modes supported in this library are:
- [ECB]: Electronic Code Book mode.
- [CBC]: Cipher Block Chaining mode.
- [CFB n]: Cipher Feedback Block with [n] bytes.
- [OFB n]: Output Feedback Block with [n] bytes
- [CTR]: Counter mode, incrementing all the bytes of the IV
- [CTR_N n]: Counter mode, incrementing only the final [n]
bytes of the IV. For example, [CTR_N 4] increments
the final 32 bits of the IV, as in NIST Special Publication
800-38D.
A detailed description of these modes is beyond the scope of
this documentation; refer to a good cryptography book.
[CBC] is a recommended default. For [CFB n] and [OFB n],
note that the blocksize is reduced to [n], but encryption
speed drops by a factor of [blocksize / n], where [blocksize]
is the block size of the underlying cipher; moreover, [n]
must be between [1] and [blocksize] included. For [CTR_N n],
[n] must be between [1] and [blocksize] included.
[CTR] is equivalent to [CTR_N blocksize]. *)
val aes: ?mode:chaining_mode -> ?pad:Padding.scheme -> ?iv:string ->
string -> direction -> transform
(** AES is the Advanced Encryption Standard, also known as Rijndael.
This is a modern block cipher, recently standardized.
It processes data by blocks of 128 bits (16 bytes),
and supports keys of 128, 192 or 256 bits.
The string argument is the key; it must have length 16, 24 or 32.
The direction argument specifies whether encryption or decryption
is to be performed.
The optional [mode] argument specifies a
chaining mode, as described above; [CBC] is used by default.
The optional [pad] argument specifies a padding scheme to
pad cleartext to an integral number of blocks. If no [pad]
argument is given, no padding is performed and the length
of the cleartext must be an integral number of blocks.
The optional [iv] argument is the initialization vector used
by the chaining mode. It is ignored in ECB mode. If
provided, it must be a string of the same size as the block
size (16 bytes). If omitted, the null initialization vector
(16 zero bytes) is used.
The [aes] function returns a transform that performs encryption
or decryption, depending on the direction argument. *)
val des: ?mode:chaining_mode -> ?pad:Padding.scheme -> ?iv:string ->
string -> direction -> transform
(** DES is the Data Encryption Standard. Very popular in the past,
but now completely insecure owing to its small key size (56 bits)
which can easily be broken by brute-force enumeration.
It should therefore be considered as weak encryption.
Its block size is 64 bits (8 bytes).
The arguments to the [des] function have the same meaning as
for the {!Cryptokit.Cipher.aes} function. The key argument is
a string of length 8 (64 bits); the least significant bit of
each key byte is ignored. *)
val triple_des: ?mode:chaining_mode -> ?pad:Padding.scheme -> ?iv:string ->
string -> direction -> transform
(** Triple DES with two or three DES keys.
This is a popular variant of DES
where each block is encrypted with a 56-bit key [k1],
decrypted with another 56-bit key [k2], then re-encrypted with
either [k1] or a third 56-bit key [k3].
This results in a 112-bit or 168-bit key length that resists
brute-force attacks. However, the three encryptions required
on each block make this cipher quite slow (4 times slower than
AES). The arguments to the [triple_des] function have the
same meaning as for the {!Cryptokit.Cipher.aes} function. The
key argument is a string of length 16 or 24, representing the
concatenation of the key parts [k1], [k2], and optionally
[k3]. The least significant bit of each key byte is
ignored. *)
val arcfour: string -> direction -> transform
(** ARCfour (``alleged RC4'') is a fast stream cipher
that appears to produce equivalent results with the commercial
RC4 cipher from RSA Data Security Inc. This company holds the
RC4 trademark, and sells the real RC4 cipher. So, it is prudent
not to use ARCfour in a commercial product.
ARCfour is popular for its speed: approximately 2 times faster
than AES. It accepts any key length up to 2048 bits.
The ARCfour cipher is a stream cipher, not a block cipher.
Hence, its natural block size is 1, and no padding is
required. Chaining modes do not apply. A feature of stream
ciphers is that the xor of two ciphertexts obtained with the
same key is the xor of the corresponding plaintexts, which
allows various attacks. Hence, the same key must never be
reused.
The string argument is the key; its length must be between
1 and 256 inclusive. The direction argument is present for
consistency with the other ciphers only, and is actually
ignored: for all stream ciphers, decryption is the same
function as encryption. *)
val blowfish: ?mode:chaining_mode -> ?pad:Padding.scheme -> ?iv:string ->
string -> direction -> transform
(** Blowfish is a fast block cipher proposed by B.Schneier in 1994.
It processes data by blocks of 64 bits (8 bytes),
and supports keys of 32 to 448 bits.
The string argument is the key; its length must be between
4 and 56.
The direction argument specifies whether encryption or decryption
is to be performed.
The optional [mode] argument specifies a
chaining mode, as described above; [CBC] is used by default.
The optional [pad] argument specifies a padding scheme to
pad cleartext to an integral number of blocks. If no [pad]
argument is given, no padding is performed and the length
of the cleartext must be an integral number of blocks.
The optional [iv] argument is the initialization vector used
by the chaining mode. It is ignored in ECB mode.
If provided, it must be a string of the same size as the block size
(8 bytes). If omitted, the null initialization vector
(8 zero bytes) is used.
The [blowfish] function returns a transform that performs encryption
or decryption, depending on the direction argument. *)
end
(** The [Hash] module implements unkeyed cryptographic hashes (SHA-1,
SHA-256, SHA-512, SHA-3, RIPEMD-160 and MD5), also known as
message digest functions.
Hash functions used in cryptography are characterized as being
<I>one-way</I> (given a hash value, it is computationally
infeasible to find a text that hashes to this value) and
<I>collision-resistant</I> (it is computationally infeasible to
find two different texts that hash to the same value). Thus, the
hash of a text can be used as a compact replacement for this text
for the purposes of ensuring integrity of the text. *)
module Hash : sig
val sha1: unit -> hash
(** SHA-1 is the Secure Hash Algorithm revision 1. It is a NIST
standard, is widely used, and produces 160-bit hashes (20 bytes).
Recent results suggest that it may not be collision-resistant. *)
val sha2: int -> hash
(** SHA-2, another NIST standard for cryptographic hashing, produces
hashes of 224, 256, 384, or 512 bits (24, 32, 48 or 64 bytes).
The parameter is the desired size of the hash, in
bits. It must be one of 224, 256, 384 or 512. *)
val sha3: int -> hash
(** SHA-3, the latest NIST standard for cryptographic hashing,
produces hashes of 224, 256, 384 or 512 bits (24, 32, 48 or 64
bytes). The parameter is the desired size of the hash, in
bits. It must be one of 224, 256, 384 or 512. *)
val sha224: unit -> hash
(** SHA-224 is SHA-2 specialized to 224 bit hashes (24 bytes). *)
val sha256: unit -> hash
(** SHA-256 is SHA-2 specialized to 256 bit hashes (32 bytes). *)
val sha384: unit -> hash
(** SHA-384 is SHA-2 specialized to 384 bit hashes (48 bytes). *)
val sha512: unit -> hash
(** SHA-512 is SHA-2 specialized to 512 bit hashes (64 bytes). *)
val ripemd160: unit -> hash
(** RIPEMD-160 produces 160-bit hashes (20 bytes). *)
val md5: unit -> hash
(** MD5 is an older hash function, producing 128-bit hashes (16 bytes).
While popular in many legacy applications, it is now known
to be insecure. In particular, it is not
collision-resistant. *)
end
(** The [MAC] module implements message authentication codes, also
known as keyed hash functions. These are hash functions parameterized
by a secret key. In addition to being one-way and collision-resistant,
a MAC has the property that without knowing the secret key, it is
computationally infeasible to find the hash for a known text,
even if many pairs of (text, MAC) are known to the attacker.
Thus, MAC can be used to authenticate the sender of a text:
the receiver of a (text, MAC) pair can recompute the MAC from the text,
and if it matches the transmitted MAC, be reasonably certain that
the text was authentified by someone who possesses the secret key.
The module [MAC] provides five MAC functions based on the hashes
SHA-1, SHA256, SHA512, RIPEMD160 and MD5, and four MAC functions based on
the block ciphers AES, DES, and Triple-DES. *)
module MAC: sig
val hmac_sha1: string -> hash
(** [hmac_sha1 key] returns a MAC based on the HMAC construction (RFC2104)
applied to SHA-1. The returned hash values are 160 bits (20 bytes)
long. The [key] argument is the MAC key; it can have any length,
but a minimal length of 20 bytes is recommended. *)
val hmac_sha256: string -> hash
(** [hmac_sha256 key] returns a MAC based on the HMAC construction
(RFC2104) applied to SHA-256. The returned hash values are
256 bits (32 bytes) long. The [key] argument is the MAC key;
it can have any length, but a minimal length of 32 bytes is
recommended. *)
val hmac_sha512: string -> hash
(** [hmac_sha512 key] returns a MAC based on the HMAC construction
(RFC2104) applied to SHA-512. The returned hash values are
512 bits (64 bytes) long. The [key] argument is the MAC key;
it can have any length, but a minimal length of 64 bytes is
recommended. *)
val hmac_ripemd160: string -> hash
(** [hmac_ripemd160 key] returns a MAC based on the HMAC
construction (RFC2104) applied to RIPEMD-160. The returned
hash values are 160 bits (20 bytes) long. The [key] argument
is the MAC key; it can have any length, but a minimal length
of 20 bytes is recommended. *)
val hmac_md5: string -> hash
(** [hmac_md5 key] returns a MAC based on the HMAC construction (RFC2104)
applied to MD5. The returned hash values are 128 bits (16 bytes)
long. The [key] argument is the MAC key; it can have any length,
but a minimal length of 16 bytes is recommended. *)
val aes: ?iv:string -> ?pad:Padding.scheme -> string -> hash
(** [aes key] returns a MAC based on AES encryption in CBC mode.
The ciphertext is discarded, and the final value of the
initialization vector is the MAC value. Thus, the returned
hash values are 128 bit (16 bytes) long. The [key] argument
is the MAC key; it must have length 16, 24, or 32. The
optional [iv] argument is the first value of the
initialization vector, and defaults to 0. The optional [pad]
argument specifies a padding scheme to pad input to an
integral number of 16-byte blocks. *)
val des: ?iv:string -> ?pad:Padding.scheme -> string -> hash
(** [des key] returns a MAC based on DES encryption in CBC mode.
The construction is identical to that used for the [aes] MAC.
The key size is 64 bits (8 bytes), of which only 56 are used.
The returned hash value has length 8 bytes.
Due to the small hash size and key size, this MAC is rather weak. *)
val triple_des: ?iv:string -> ?pad:Padding.scheme -> string -> hash
(** [des key] returns a MAC based on triple DES encryption in CBC mode.
The construction is identical to that used for the [aes] MAC.
The key size is 16 or 24 bytes. The returned hash value has
length 8 bytes. The key size is sufficient to protect against
brute-force attacks, but the small hash size means that this
MAC is not collision-resistant. *)
val des_final_triple_des: ?iv:string -> ?pad:Padding.scheme -> string -> hash
(** [des_final_triple_des key] returns a MAC that uses DES CBC
with the first 8 bytes of [key] as key. The final initialization
vector is then DES-decrypted with bytes 8 to 15 of [key],
and DES-encrypted again with either the last 8 bytes of [key]
(if a triple-length key is provided) or the first 8 bytes of [key]
(if a double-length key is provided).
Thus, the key is 16 or 24 bytes long, of which
112 or 168 bits are used. The overall construction has the same
key size as a triple DES MAC, but runs faster because triple
encryption is not performed on all data blocks, but only on
the final MAC. *)
end
(** The [RSA] module implements RSA public-key cryptography.
Public-key cryptography is asymmetric: two distinct keys are used
for encrypting a message, then decrypting it. Moreover, while one of
the keys must remain secret, the other can be made public, since
it is computationally very hard to reconstruct the private key
from the public key. This feature supports both public-key
encryption (anyone can encode with the public key, but only the
owner of the private key can decrypt) and digital signature
(only the owner of the private key can sign, but anyone can check
the signature with the public key). *)
module RSA: sig
type key =
{ size: int; (** Size of the modulus [n], in bits *)
n: string; (** Modulus [n = p.q] *)
e: string; (** Public exponent [e] *)
d: string; (** Private exponent [d] *)
p: string; (** Prime factor [p] of [n] *)
q: string; (** The other prime factor [q] of [n] *)
dp: string; (** [dp] is [d mod (p-1)] *)
dq: string; (** [dq] is [d mod (q-1)] *)
qinv: string (** [qinv] is a multiplicative inverse of [q] modulo [p] *)
}
(** The type of RSA keys. Components [size], [n] and [e] define
the public part of the key. Components [size], [n] and [d]
define the private part of the key. To speed up private key operations
through the use of the Chinese remainder theorem (CRT), additional
components [p], [q], [dp], [dq] and [qinv] are provided. These
are part of the private key. *)
val wipe_key: key -> unit
(** Erase all components of a RSA key. *)
val new_key: ?rng: Random.rng -> ?e: int -> int -> key
(** Generate a new, random RSA key. The non-optional [int]
argument is the desired size for the modulus, in bits
(e.g. 2048). The optional [rng] argument specifies a random
number generator to use for generating the key; it defaults to
{!Cryptokit.Random.secure_rng}. The optional [e] argument
specifies the public exponent desired. If not specified, [e]
is chosen randomly. Small values of [e] such as
[e = 65537] significantly speeds up encryption and
signature checking compared with a random [e].
Very small values of [e] such as [e = 3] can weaken security
and are best avoided.
The result of [new_key] is a complete RSA key with all
components defined: public, private, and private for use with
the CRT. *)
val encrypt: key -> string -> string
(** [encrypt k msg] encrypts the string [msg] with the public part
of key [k] (components [n] and [e]).
[msg] must be smaller than [key.n] when both strings
are viewed as natural numbers in big-endian notation.
In practice, [msg] should be of length [key.size / 8 - 1],
using padding if necessary. If you need to encrypt longer plaintexts
using RSA, encrypt them with a symmetric cipher, using a
randomly-generated key, and encrypt only that key with RSA. *)
val decrypt: key -> string -> string
(** [decrypt k msg] decrypts the ciphertext string [msg] with the
private part of key [k] (components [n] and [d]). The size of
[msg] is limited as described for {!Cryptokit.RSA.encrypt}. *)
val decrypt_CRT: key -> string -> string
(** [decrypt_CRT k msg] decrypts the ciphertext string [msg] with
the CRT private part of key [k] (components [n], [p], [q],
[dp], [dq] and [qinv]). The use of the Chinese remainder
theorem (CRT) allows significantly faster decryption than
{!Cryptokit.RSA.decrypt}, at no loss in security. The size of
[msg] is limited as described for {!Cryptokit.RSA.encrypt}. *)
val sign: key -> string -> string
(** [sign k msg] encrypts the plaintext string [msg] with the
private part of key [k] (components [n] and [d]), thus
performing a digital signature on [msg].
The size of [msg] is limited as described for {!Cryptokit.RSA.encrypt}.
If you need to sign longer messages, compute a cryptographic
hash of the message and sign only the hash with RSA. *)
val sign_CRT: key -> string -> string
(** [sign_CRT k msg] encrypts the plaintext string [msg] with the
CRT private part of key [k] (components [n], [p], [q], [dp],
[dq] and [qinv]), thus performing a digital signature on
[msg]. The use of the Chinese remainder theorem (CRT) allows
significantly faster signature than {!Cryptokit.RSA.sign}, at
no loss in security. The size of [msg] is limited as
described for {!Cryptokit.RSA.encrypt}. *)
val unwrap_signature: key -> string -> string
(** [unwrap_signature k msg] decrypts the ciphertext string [msg]
with the public part of key [k] (components [n] and [d]),
thus extracting the plaintext that was signed by the sender.
The size of [msg] is limited as described for
{!Cryptokit.RSA.encrypt}. *)
end
(** The [DH] module implements Diffie-Hellman key agreement.
Key agreement is a protocol by which two parties can establish
a shared secret (typically a key for a symmetric cipher or MAC)
by exchanging messages, with the guarantee that even if an attacker
eavesdrop on the messages, he cannot recover the shared secret.
Diffie-Hellman is one such key agreement protocol, relying on
the difficulty of computing discrete logarithms. Notice that
the Diffie-Hellman protocol is vulnerable to active attacks
(man-in-the-middle attacks).
The protocol executes as follows:
- Both parties must agree beforehand on a set of public parameters
(type {!Cryptokit.DH.parameters}). Suitable parameters
can be generated by calling {!Cryptokit.DH.new_parameters},
or fixed parameters taken from the literature can be used.
- Each party computes a random private secret using the function
{!Cryptokit.DH.private_secret}.
- From its private secrets and the public parameters, each party
computes a message (a string) with the function {!Cryptokit.DH.message},
and sends it to the other party.
- Each party recovers the shared secret by applying the function
{!Cryptokit.DH.shared_secret} to its private secret and to the
message received from the other party.
- Fixed-size keys can then be derived from the shared secret
using the function {!Cryptokit.DH.derive_key}.
*)
module DH: sig
type parameters =
{ p: string; (** Large prime number *)
g: string; (** Generator of [Z/pZ] *)
privlen: int (** Length of private secrets in bits *)
}
(** The type of Diffie-Hellman parameters. These parameters
need to be agreed upon by the two parties before the key agreement
protocol is run. The parameters are public and can be reused
for several runs of the protocol. *)
val new_parameters: ?rng: Random.rng -> ?privlen: int -> int -> parameters
(** Generate a new set of Diffie-Hellman parameters.
The non-optional argument is the size in bits of the [p] parameter.
It must be large enough that the discrete logarithm problem modulo
[p] is computationally unsolvable. 1024 is a reasonable value.
The optional [rng] argument specifies a random number generator
to use for generating the parameters; it defaults to
{!Cryptokit.Random.secure_rng}. The optional [privlen] argument
is the size in bits of the private secrets that are generated
during the key agreement protocol; the default is 160. *)
type private_secret
(** The abstract type of private secrets generated during key agreement. *)
val private_secret: ?rng: Random.rng -> parameters -> private_secret
(** Generate a random private secret.
The optional [rng] argument specifies a random number generator
to use; it defaults to {!Cryptokit.Random.secure_rng}. *)
val message: parameters -> private_secret -> string
(** Compute the message to be sent to the other party. *)
val shared_secret: parameters -> private_secret -> string -> string
(** Recover the shared secret from the private secret of the
present party and the message received from the other party.
The shared secret returned is a string of the same length as
the [p] parameter. The private secret is destroyed and can no
longer be used afterwards. *)
val derive_key: ?diversification: string -> string -> int -> string
(** [derive_key shared_secret numbytes] derives a secret string
(typically, a key for symmetric encryption) from the given shared
secret. [numbytes] is the desired length for the returned string.
The optional [diversification] argument is an arbitrary string
that defaults to the empty string. Different secret strings can
be obtained from the same shared secret by supplying different
[diversification] argument. The computation of the secret
string is performed by SHA-1 hashing of the diversification
string, followed by the shared secret, followed by an integer
counter. The hashing is repeated with increasing values of the
counter until [numbytes] bytes have been obtained. *)
end
(** {6 Advanced, compositional interface to block ciphers
and stream ciphers} *)
(** The [Block] module provides classes that implements
popular block ciphers, chaining modes, and wrapping of a block cipher
as a general transform or as a hash function.
The classes can be composed in a Lego-like fashion, facilitating
the integration of new block ciphers, modes, etc. *)
module Block : sig
class type block_cipher =
object
method blocksize: int
(** The size in bytes of the blocks manipulated by the cipher. *)
method transform: bytes -> int -> bytes -> int -> unit
(** [transform src spos dst dpos] encrypts or decrypts one block
of data. The input data is read from byte array [src] at
positions [spos, ..., spos + blocksize - 1], and the output
data is stored in byte array [dst] at positions
[dpos, ..., dpos + blocksize - 1]. *)
method wipe: unit
(** Erase the internal state of the block cipher, such as
all key-dependent material. *)
end
(** Abstract interface for a block cipher. *)
(** {6 Deriving transforms and hashes from block ciphers} *)
class cipher: block_cipher -> transform
(** Wraps a block cipher as a general transform. The transform
has input block size and output block size equal to the
block size of the block cipher. No padding is performed.
Example: [new cipher (new cbc_encrypt (new aes_encrypt key))]
returns a transform that performs AES encryption in CBC mode. *)
class cipher_padded_encrypt: Padding.scheme -> block_cipher -> transform
(** Like {!Cryptokit.Block.cipher}, but performs padding on the input data
as specified by the first argument. The input block size of
the returned transform is 1; the output block size is the
block size of the block cipher. *)
class cipher_padded_decrypt: Padding.scheme -> block_cipher -> transform
(** Like {!Cryptokit.Block.cipher}, but removes padding on the output data
as specified by the first argument. The output block size of
the returned transform is 1; the input block size is the
block size of the block cipher. *)
class mac: ?iv: string -> ?pad: Padding.scheme -> block_cipher -> hash
(** Build a MAC (keyed hash function) from the given block cipher.
The block cipher is run in CBC mode, and the MAC value is
the final value of the initialization vector.
Thus, the hash size of the resulting
hash is the block size of the block cipher.
The optional argument [iv] specifies the first initialization
vector, with a default of all zeroes. The optional argument
[pad] specifies a padding scheme to be applied to the input
data; if not provided, no padding is performed. *)
class mac_final_triple: ?iv: string -> ?pad: Padding.scheme ->
block_cipher -> block_cipher -> block_cipher -> hash
(** Build a MAC (keyed hash function) from the given block ciphers
[c1], [c2] and [c3]. The input is run through [c1] in CBC
mode, as described for {!Cryptokit.Block.mac}. The final
initialization vector is then super-enciphered by [c2], then
by [c3], to provide the final MAC. This construction results
in a MAC that is as nearly as fast as {!Cryptokit.Block.mac}
[c1], but more resistant against brute-force key search
because of the additional final encryption through [c2] and
[c3]. *)
(** {6 Some block ciphers: AES, DES, triple DES, Blowfish} *)
class aes_encrypt: string -> block_cipher
(** The AES block cipher, in encryption mode. The string argument
is the key; its length must be 16, 24 or 32 bytes. *)
class aes_decrypt: string -> block_cipher
(** The AES block cipher, in decryption mode. *)
class des_encrypt: string -> block_cipher
(** The DES block cipher, in encryption mode. The string argument
is the key; its length must be 8 bytes. *)
class des_decrypt: string -> block_cipher
(** The DES block cipher, in decryption mode. *)
class triple_des_encrypt: string -> block_cipher
(** The Triple-DES block cipher, in encryption mode.
The key argument must have length 16 (two keys) or 24 (three keys). *)
class triple_des_decrypt: string -> block_cipher
(** The Triple-DES block cipher, in decryption mode. *)
class blowfish_encrypt: string -> block_cipher
(** The Blowfish block cipher, in encryption mode. The string argument
is the key; its length must be between 4 and 56. *)
class blowfish_decrypt: string -> block_cipher
(** The Blowfish block cipher, in decryption mode. *)
(** {6 Chaining modes} *)
class cbc_encrypt: ?iv: string -> block_cipher -> block_cipher
(** Add Cipher Block Chaining (CBC) to the given block cipher
in encryption mode.
Each block of input is xor-ed with the previous output block
before being encrypted through the given block cipher.
The optional [iv] argument specifies the string to be xor-ed
with the first input block, and defaults to all zeroes.
The returned block cipher has the same block size as the
underlying block cipher. *)
class cbc_decrypt: ?iv: string -> block_cipher -> block_cipher
(** Add Cipher Block Chaining (CBC) to the given block cipher
in decryption mode. This works like {!Cryptokit.Block.cbc_encrypt},
except that input blocks are first decrypted by the block
cipher before being xor-ed with the previous input block. *)
class cfb_encrypt: ?iv: string -> int -> block_cipher -> block_cipher
(** Add Cipher Feedback Block (CFB) to the given block cipher
in encryption mode. The integer argument [n] is the number of
bytes processed at a time; it must lie between [1] and
the block size of the underlying cipher, included.
The returned block cipher has block size [n]. *)
class cfb_decrypt: ?iv: string -> int -> block_cipher -> block_cipher
(** Add Cipher Feedback Block (CFB) to the given block cipher
in decryption mode. See {!Cryptokit.Block.cfb_encrypt}. *)
class ofb: ?iv: string -> int -> block_cipher -> block_cipher
(** Add Output Feedback Block (OFB) to the given block cipher.
The integer argument [n] is the number of
bytes processed at a time; it must lie between [1] and
the block size of the underlying cipher, included.
The returned block cipher has block size [n].
It is usable both for encryption and decryption. *)
class ctr: ?iv: string -> ?inc:int -> block_cipher -> block_cipher
(** Add Counter mode to the given block cipher. Viewing the IV
as a [blocksize]-byte integer in big-endian representation,
the blocks [IV], [IV+1], [IV+2], ... are encrypted using
the given block cipher, and the result is xor-ed with the
input blocks to produce the output blocks. The additions
[IV+n] are performed modulo 2 to the [8 * inc] power.
In other words, only the low [inc] bytes of the [IV] are
subject to incrementation; the high [blocksize - inc] bytes
are unaffected. [inc] defaults to [blocksize].
The returned block cipher has the same block size as
the underlying block cipher, and is usable both for
encryption and decryption. *)
end
(** The [Stream] module provides classes that implement
the ARCfour stream cipher, and the wrapping of a stream cipher
as a general transform. The classes can be composed in a Lego-like
fashion, facilitating the integration of new stream ciphers. *)
module Stream : sig
class type stream_cipher =
object
method transform: bytes -> int -> bytes -> int -> int -> unit
(** [transform src spos dst dpos len] encrypts or decrypts
[len] characters, read from byte array [src] starting at
position [spos]. The resulting [len] characters are
stored in byte array [dst] starting at position [dpos]. *)
method wipe: unit
(** Erase the internal state of the stream cipher, such as
all key-dependent material. *)
end
(** Abstract interface for a stream cipher. *)
class cipher: stream_cipher -> transform
(** Wraps an arbitrary stream cipher as a transform.
The transform has input and output block size of 1. *)
class arcfour: string -> stream_cipher
(** The ARCfour (``alleged RC4'') stream cipher.
The argument is the key, and must be of length 1 to 256.
This stream cipher works by xor-ing the input with the
output of a key-dependent pseudo random number generator.
Thus, decryption is the same function as encryption. *)
end
(** {6 Encoding and compression of data} *)
(** The [Base64] module supports the encoding and decoding of
binary data in base 64 format, using only alphanumeric
characters that can safely be transmitted over e-mail or
in URLs. *)
module Base64: sig
val encode_multiline : unit -> transform
(** Return a transform that performs base 64 encoding.
The output is divided in lines of length 76 characters,
and final [=] characters are used to pad the output,
as specified in the MIME standard.
The output is approximately [4/3] longer than the input. *)
val encode_compact : unit -> transform
(** Same as {!Cryptokit.Base64.encode_multiline}, but the output is not
split into lines, and no final padding is added.
This is adequate for encoding short strings for
transmission as part of URLs, for instance. *)
val encode_compact_pad : unit -> transform
(** Same as {!Cryptokit.Base64.encode_compact}, but the output is
padded with [=] characters at the end (if necessary). *)
val decode : unit -> transform
(** Return a transform that performs base 64 decoding.
The input must consist of valid base 64 characters;
blanks are ignored. Raise [Error Bad_encoding]
if invalid base 64 characters are encountered in the input. *)
end
(** The [Hexa] module supports the encoding and decoding of
binary data as hexadecimal strings. This is a popular format
for transmitting keys in textual form. *)
module Hexa: sig
val encode : unit -> transform
(** Return a transform that encodes its input in hexadecimal.
The output is twice as long as the input, and contains
no spaces or newlines. *)
val decode : unit -> transform
(** Return a transform that decodes its input from hexadecimal.
The output is twice as short as the input. Blanks
(spaces, tabs, newlines) in the input are ignored.
Raise [Error Bad_encoding] if the input contains characters
other than hexadecimal digits and blanks. *)
end
(** The [Zlib] module supports the compression and decompression
of data, using the [zlib] library. The algorithm used is
Lempel-Ziv compression as in the [gzip] and [zip] compressors.
While compression itself is not encryption, it is often used prior
to encryption to hide regularities in the plaintext, and reduce
the size of the ciphertext. *)
module Zlib: sig
val compress : ?level:int -> unit -> transform
(** Return a transform that compresses its input.
The optional [level] argument is an integer between 1 and 9
specifying how hard the transform should try to compress data:
1 is lowest but fastest compression, while 9 is highest but
slowest compression. The default level is 6. *)
val uncompress : unit -> transform
(** Return a transform that decompresses its input. *)
end
(** {6 Error reporting} *)
(** Error codes for this library. *)
type error =
| Wrong_key_size
(** The key is too long or too short for the given cipher. *)
| Wrong_IV_size
(** The initialization vector does not have the same size as
the block size. *)
| Wrong_data_length
(** The total length of the input data for a transform is not an
integral multiple of the input block size. *)
| Bad_padding
(** Incorrect padding bytes were found after decryption. *)
| Output_buffer_overflow
(** The output buffer for a transform exceeds the maximal length
of a Caml string. *)
| Incompatible_block_size
(** A combination of two block ciphers was attempted whereby
the ciphers have different block sizes, while they must have
the same. *)
| Number_too_long
(** Denotes an internal error in RSA key generation or encryption. *)
| Seed_too_short
(** The seed given to a pseudo random number generator is too short. *)
| Message_too_long
(** The message passed to RSA encryption or decryption is greater
than the modulus of the RSA key *)
| Bad_encoding
(** Illegal characters were found in an encoding of binary data
such as base 64 or hexadecimal. *)
| Compression_error of string * string
(** Error during compression or decompression. *)
| No_entropy_source
(** No entropy source (OS, [/dev/random] or EGD) was found for
{!Cryptokit.Random.secure_rng}. *)
| Entropy_source_closed
(** End of file on a device or EGD entropy source. *)
| Compression_not_supported
(** The data compression functions are not available. *)
exception Error of error
(** Exception raised by functions in this library
to report error conditions. *)
(** {6 Miscellaneous utilities} *)
val wipe_bytes : bytes -> unit
(** [wipe_bytes s] overwrites [s] with zeroes. Can be used
to reduce the memory lifetime of sensitive data. *)
val wipe_string : string -> unit
(** [wipe_string s] overwrites [s] with zeroes. Can be used
to reduce the memory lifetime of sensitive data. *)
val xor_bytes: bytes -> int -> bytes -> int -> int -> unit
(** [xor_string src spos dst dpos len] performs the xor (exclusive or)
of characters [spos, ..., spos + len - 1] of [src]
with characters [dpos, ..., dpos + len - 1] of [dst],
storing the result in [dst] starting at position [dpos]. *)
val xor_string: string -> int -> bytes -> int -> int -> unit
(** Same as [xor_bytes], but the source is a string instead of a
byte array. *)
val mod_power: string -> string -> string -> string
(** [mod_power a b c] computes [a^b mod c], where the
strings [a], [b], [c] and the result are viewed as
arbitrary-precision integers in big-endian format.
Requires [a < c]. *)
val mod_mult: string -> string -> string -> string
(** [mod_mult a b c] computes [a*b mod c], where the
strings [a], [b], [c] and the result are viewed as
arbitrary-precision integers in big-endian format. *)
|