| File doc/godi-cryptokit/html/Cryptokit.DH.html |
GODI Package
godi-cryptokit |
module DH: sig .. 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.
type parameters = {
|
p : string; |
|
g : string; |
|
privlen : int; |
}
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:Cryptokit.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:Cryptokit.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.