# crypto

### MODULE

crypto

### MODULE SUMMARY

Crypto Functions

### DESCRIPTION

This module provides a set of cryptographic functions.

References:

- md5: The MD5 Message Digest Algorithm (RFC 1321)
- sha: Secure Hash Standard (FIPS 180-2)
- hmac: Keyed-Hashing for Message Authentication (RFC 2104)
- des: Data Encryption Standard (FIPS 46-3)
- aes: Advanced Encryption Standard (AES) (FIPS 197)
- ecb, cbc, cfb, ofb: Recommendation for Block Cipher Modes of Operation (NIST SP 800-38A).
- rsa: Recommendation for Block Cipher Modes of Operation (NIST 800-38A)
- dss: Digital Signature Standard (FIPS 186-2)

The above publications can be found at NIST publications, at IETF.

Types

    byte() = 0 ... 255
    ioelem() = byte() | binary() | iolist()
    iolist() = [ioelem()]
    Mpint() = <<ByteLen:32/integer-big, Bytes:ByteLen/binary>>

### EXPORTS

start() -> ok

Starts the crypto server.

stop() -> ok

Stops the crypto server.

info() -> [atom()]

Provides the available crypto functions in terms of a list of atoms.

info_lib() -> [{Name,VerNum,VerStr}]

Types:

Name = binary()
VerNum = integer()
VerStr = binary()

Provides the name and version of the libraries used by crypto.

Name is the name of the library. VerNum is the numeric version according to the library's own versioning scheme. VerStr contains a text variant of the version.

    > info_lib().
    [{<<"OpenSSL">>,9469983,<<"OpenSSL 0.9.8a 11 Oct 2005">>}]

md5(Data) -> Digest

Types:

Data = iolist() | binary()
Digest = binary()

Computes an MD5 message digest from Data, where the length of the digest is 128 bits (16 bytes).

md5_init() -> Context

Types:

Context = binary()

Creates an MD5 context, to be used in subsequent calls to md5_update/2.

md5_update(Context, Data) -> NewContext

Types:

Data = iolist() | binary()
Context = NewContext = binary()

Updates an MD5 Context with Data, and returns a NewContext.

md5_final(Context) -> Digest

Types:

Context = Digest = binary()

Finishes the update of an MD5 Context and returns the computed MD5 message digest.

sha(Data) -> Digest

Types:

Data = iolist() | binary()
Digest = binary()

Computes an SHA message digest from Data, where the length of the digest is 160 bits (20 bytes).

sha_init() -> Context

Types:

Context = binary()

Creates an SHA context, to be used in subsequent calls to sha_update/2.

sha_update(Context, Data) -> NewContext

Types:

Data = iolist() | binary()
Context = NewContext = binary()

Updates an SHA Context with Data, and returns a NewContext.

sha_final(Context) -> Digest

Types:

Context = Digest = binary()

Finishes the update of an SHA Context and returns the computed SHA message digest.

md5_mac(Key, Data) -> Mac

Types:

Key = Data = iolist() | binary()
Mac = binary()

Computes an MD5 MAC message authentification code from Key and Data, where the the length of the Mac is 128 bits (16 bytes).

md5_mac_96(Key, Data) -> Mac

Types:

Key = Data = iolist() | binary()
Mac = binary()

Computes an MD5 MAC message authentification code from Key and Data, where the length of the Mac is 96 bits (12 bytes).

sha_mac(Key, Data) -> Mac

Types:

Key = Data = iolist() | binary()
Mac = binary()

Computes an SHA MAC message authentification code from Key and Data, where the length of the Mac is 160 bits (20 bytes).

sha_mac_96(Key, Data) -> Mac

Types:

Key = Data = iolist() | binary()
Mac = binary()

Computes an SHA MAC message authentification code from Key and Data, where the length of the Mac is 96 bits (12 bytes).

des_cbc_encrypt(Key, IVec, Text) -> Cipher

Types:

Key = Text = iolist() | binary()
IVec = Cipher = binary()

Encrypts Text according to DES in CBC mode. Text must be a multiple of 64 bits (8 bytes). Key is the DES key, and IVec is an arbitrary initializing vector. The lengths of Key and IVec must be 64 bits (8 bytes).

des_cbc_decrypt(Key, IVec, Cipher) -> Text

Types:

Key = Cipher = iolist() | binary()
IVec = Text = binary()

Decrypts Cipher according to DES in CBC mode. Key is the DES key, and IVec is an arbitrary initializing vector. Key and IVec must have the same values as those used when encrypting. Cipher must be a multiple of 64 bits (8 bytes). The lengths of Key and IVec must be 64 bits (8 bytes).

des3_cbc_encrypt(Key1, Key2, Key3, IVec, Text) -> Cipher

Types:

Key1 =Key2 = Key3 Text = iolist() | binary()
IVec = Cipher = binary()

Encrypts Text according to DES3 in CBC mode. Text must be a multiple of 64 bits (8 bytes). Key1, Key2, Key3, are the DES keys, and IVec is an arbitrary initializing vector. The lengths of each of Key1, Key2, Key3 and IVec must be 64 bits (8 bytes).

des3_cbc_decrypt(Key1, Key2, Key3, IVec, Cipher) -> Text

Types:

Key1 = Key2 = Key3 = Cipher = iolist() | binary()
IVec = Text = binary()

Decrypts Cipher according to DES3 in CBC mode. Key1, Key2, Key3 are the DES key, and IVec is an arbitrary initializing vector. Key1, Key2, Key3 and IVec must and IVec must have the same values as those used when encrypting. Cipher must be a multiple of 64 bits (8 bytes). The lengths of Key1, Key2, Key3, and IVec must be 64 bits (8 bytes).

aes_cfb_128_encrypt(Key, IVec, Text) -> Cipher
aes_cbc_128_encrypt(Key, IVec, Text) -> Cipher

Types:

Key = Text = iolist() | binary()
IVec = Cipher = binary()

Encrypts Text according to AES in Cipher Feedback mode (CFB) or Cipher Block Chaining mode (CBC). Text must be a multiple of 128 bits (16 bytes). Key is the AES key, and IVec is an arbitrary initializing vector. The lengths of Key and IVec must be 128 bits (16 bytes).

aes_cfb_128_decrypt(Key, IVec, Cipher) -> Text
aes_cbc_128_decrypt(Key, IVec, Cipher) -> Text

Types:

Key = Cipher = iolist() | binary()
IVec = Text = binary()

Decrypts Cipher according to Cipher Feedback Mode (CFB) or Cipher Block Chaining mode (CBC). Key is the AES key, and IVec is an arbitrary initializing vector. Key and IVec must have the same values as those used when encrypting. Cipher must be a multiple of 128 bits (16 bytes). The lengths of Key and IVec must be 128 bits (16 bytes).

erlint(Mpint) -> N
mpint(N) -> Mpint

Types:

Mpint = binary()
N = integer()

Convert a binary multi-precision integer Mpint to and from an erlang big integer. A multi-precision integer is a binary with the following form: <<ByteLen:32/integer, Bytes:ByteLen/binary>> where both ByteLen and Bytes are big-endian. Mpints are used in some of the functions in crypto and are not translated in the API for performance reasons.

rand_bytes(N) -> binary()

Types:

N = integer()

Generates N bytes randomly uniform 0..255, and returns the result in a binary. Uses the crypto library pseudo-random number generator.

rand_uniform(Lo, Hi) -> N

Types:

Lo, Hi, N = Mpint | integer()
Mpint = binary()

Generate a random number N, Lo =< N < Hi. Uses the crypto library pseudo-random number generator. The arguments (and result) can be either erlang integers or binary multi-precision integers.

mod_exp(N, P, M) -> Result

Types:

N, P, M, Result = Mpint
Mpint = binary()

This function performs the exponentiation N ^ P mod M, using the crypto library.

rsa_sign(Data, Key) -> Signature
rsa_sign(DigestType, Data, Key) -> Signature

Types:

Data = Mpint
Key = [E, N, D]
E, N, D = Mpint

Where E is the public exponent, N is public modulus and D is the private exponent.
DigestType = md5 | sha
The default DigestType is sha.
Mpint = binary()
Signature = binary()

Calculates a DigestType digest of the Data and creates a RSA signature with the private key Key of the digest.

rsa_verify(Data, Signature, Key) -> Verified
rsa_verify(DigestType, Data, Signature, Key) -> Verified

Types:

Verified = boolean()
Data, Signature = Mpint
Key = [E, N]
E, N = Mpint

Where E is the public exponent and N is public modulus.
DigestType = md5 | sha
The default DigestType is sha.
Mpint = binary()

Calculates a DigestType digest of the Data and verifies that the digest matches the RSA signature using the signer's public key Key.

rsa_public_encrypt(PlainText, PublicKey, Padding) -> ChipherText

Types:

PlainText = binary()
PublicKey = [E, N]
E, N = Mpint

Where E is the public exponent and N is public modulus.
Padding = rsa_pkcs1_padding | rsa_pkcs1_oaep_padding | rsa_no_padding
ChipherText = binary()

Encrypts the PlainText (usually a session key) using the PublicKey and returns the chipher. The Padding decides what padding mode is used, rsa_pkcs1_padding is PKCS #1 v1.5 currently the most used mode and rsa_pkcs1_oaep_padding is EME-OAEP as defined in PKCS #1 v2.0 with SHA-1, MGF1 and an empty encoding parameter. This mode is recommended for all new applictions. The size of the Msg must be less than byte_size(N)-11 if rsa_pkcs1_padding is used, byte_size(N)-41 if rsa_pkcs1_oaep_padding is used and byte_size(N) if rsa_no_padding is used. Where byte_size(N) is the size part of an Mpint-1.

rsa_private_decrypt(ChipherText, PrivateKey, Padding) -> PlainText

Types:

ChipherText = binary()
PrivateKey = [E, N, D]
E, N, D = Mpint

Where E is the public exponent, N is public modulus and D is the private exponent.
Padding = rsa_pkcs1_padding | rsa_pkcs1_oaep_padding | rsa_no_padding
PlainText = binary()

Decrypts the ChipherText (usually a session key encrypted with rsa_public_encrypt/3) using the PrivateKey and returns the message. The Padding is the padding mode that was used to encrypt the data, see rsa_public_encrypt/3.

rsa_private_encrypt(PlainText, PrivateKey, Padding) -> ChipherText

Types:

PlainText = binary()
PrivateKey = [E, N, D]
E, N, D = Mpint

Where E is the public exponent, N is public modulus and D is the private exponent.
Padding = rsa_pkcs1_padding | rsa_no_padding
ChipherText = binary()

Encrypts the PlainText using the PrivateKey and returns the chipher. The Padding decides what padding mode is used, rsa_pkcs1_padding is PKCS #1 v1.5 currently the most used mode. The size of the Msg must be less than byte_size(N)-11 if rsa_pkcs1_padding is used, and byte_size(N) if rsa_no_padding is used. Where byte_size(N) is the size part of an Mpint-1.

rsa_public_decrypt(ChipherText, PublicKey, Padding) -> PlainText

Types:

ChipherText = binary()
PublicKey = [E, N]
E, N = Mpint

Where E is the public exponent and N is public modulus
Padding = rsa_pkcs1_padding | rsa_no_padding
PlainText = binary()

Decrypts the ChipherText (encrypted with rsa_private_encrypt/3) using the PrivateKey and returns the message. The Padding is the padding mode that was used to encrypt the data, see rsa_private_encrypt/3.

dss_sign(Data, Key) -> Signature

Types:

Digest = Mpint
Key = [P, Q, G, X]
P, Q, G, X = Mpint

Where P, Q and G are the dss parameters and X is the private key.
Mpint = binary()
Signature = binary()

Calculates the sha digest of the Data and creates a DSS signature with the private key Key of the digest.

dss_verify(Data, Signature, Key) -> Verified

Types:

Verified = boolean()
Digest, Signature = Mpint
Key = [P, Q, G, Y]
P, Q, G, Y = Mpint

Where P, Q and G are the dss parameters and Y is the public key.
Mpint = binary()

Calculates the sha digest of the Data and verifies that the digest matches the DSS signature using the public key Key.

rc4_encrypt(Key, Data) -> Result

Types:

Key, Data = iolist() | binary()
Result = binary()

Encrypts the data with RC4 symmetric stream encryption. Since it is symmetric, the same function is used for decryption.

dh_generate_key(DHParams) -> {PublicKey,PrivateKey}
dh_generate_key(PrivateKey, DHParams) -> {PublicKey,PrivateKey}

Types:

DHParameters = [P, G]
P, G = Mpint

Where P is the shared prime number and G is the shared generator.
PublicKey, PrivateKey = Mpint()

Generates a Diffie-Hellman PublicKey and PrivateKey (if not given).

dh_compute_key(OthersPublicKey, MyPrivateKey, DHParams) -> SharedSecret

Types:

DHParameters = [P, G]
P, G = Mpint

Where P is the shared prime number and G is the shared generator.
OthersPublicKey, MyPrivateKey = Mpint()
SharedSecret = binary()

Computes the shared secret from the private key and the other party's public key.

exor(Data1, Data2) -> Result

Types:

Data1, Data2 = iolist() | binary()
Result = binary()

Performs bit-wise XOR (exclusive or) on the data supplied.

### DES in CBC mode

The Data Encryption Standard (DES) defines an algoritm for encrypting and decrypting an 8 byte quantity using an 8 byte key (actually only 56 bits of the key is used).

When it comes to encrypting and decrypting blocks that are multiples of 8 bytes various modes are defined (NIST SP 800-38A). One of those modes is the Cipher Block Chaining (CBC) mode, where the encryption of an 8 byte segment depend not only of the contents of the segment itself, but also on the result of encrypting the previous segment: the encryption of the previous segment becomes the initializing vector of the encryption of the current segment.

Thus the encryption of every segment depends on the encryption key (which is secret) and the encryption of the previous segment, except the first segment which has to be provided with an initial initializing vector. That vector could be chosen at random, or be a counter of some kind. It does not have to be secret.

The following example is drawn from the old FIPS 81 standard (replaced by NIST SP 800-38A), where both the plain text and the resulting cipher text is settled. The following code fragment returns `true'.

          Key = <<16#01,16#23,16#45,16#67,16#89,16#ab,16#cd,16#ef>>,
          IVec = <<16#12,16#34,16#56,16#78,16#90,16#ab,16#cd,16#ef>>,
          P = "Now is the time for all ",
          C = crypto:des_cbc_encrypt(Key, IVec, P),
             % Which is the same as
          P1 = "Now is t", P2 = "he time ", P3 = "for all ",
          C1 = crypto:des_cbc_encrypt(Key, IVec, P1),
          C2 = crypto:des_cbc_encrypt(Key, C1, P2),
          C3 = crypto:des_cbc_encrypt(Key, C2, P3),

          C = <<C1/binary, C2/binary, C3/binary>>,
          C = <<16#e5,16#c7,16#cd,16#de,16#87,16#2b,16#f2,16#7c,
                 16#43,16#e9,16#34,16#00,16#8c,16#38,16#9c,16#0f,
                 16#68,16#37,16#88,16#49,16#9a,16#7c,16#05,16#f6>>,
          <<"Now is the time for all ">> ==
                            crypto:des_cbc_decrypt(Key, IVec, C).

The following is true for the DES CBC mode. For all decompositions P1 ++ P2 = P of a plain text message P (where the length of all quantities are multiples of 8 bytes), the encryption C of P is equal to C1 ++ C2, where C1 is obtained by encrypting P1 with Key and the initializing vector IVec, and where C2 is obtained by encrypting P2 with Key and the initializing vector last8(C1), where last(Binary) denotes the last 8 bytes of the binary Binary.

Similarly, for all decompositions C1 ++ C2 = C of a cipher text message C (where the length of all quantities are multiples of 8 bytes), the decryption P of C is equal to P1 ++ P2, where P1 is obtained by decrypting C1 with Key and the initializing vector IVec, and where P2 is obtained by decrypting C2 with Key and the initializing vector last8(C1), where last8(Binary) is as above.

For DES3 (which uses three 64 bit keys) the situation is the same.

crypto 1.5.3
Copyright © 1991-2008 Ericsson AB