Crypto.PubKey.RSA

crypton-1.0.1: Cryptography Primitives sink

License | BSD-style
Maintainer | Vincent Hanquez <vincent@snarc.org>
Stability | experimental
Portability | Good
Safe Haskell | None
Language | Haskell2010

Crypto.PubKey.RSA

Contents

- Generation function

Description

Synopsis

- data Error
  - = MessageSizeIncorrect
  - | MessageTooLong
  - | MessageNotRecognized
  - | SignatureTooLong
  - | InvalidParameters
- data PublicKey = PublicKey {
  - public_size :: Int
  - public_n :: Integer
  - public_e :: Integer
  }
- data PrivateKey = PrivateKey {
  - private_pub :: PublicKey
  - private_d :: Integer
  - private_p :: Integer
  - private_q :: Integer
  - private_dP :: Integer
  - private_dQ :: Integer
  - private_qinv :: Integer
  }
- data Blinder = Blinder !Integer !Integer
- generateWith :: (Integer, Integer) -> Int -> Integer -> Maybe (PublicKey, PrivateKey)
- generate :: MonadRandom m => Int -> Integer -> m (PublicKey, PrivateKey)
- generateBlinder :: MonadRandom m => Integer -> m Blinder

# Documentation

data Error #

error possible during encryption, decryption or signing.

Constructors

MessageSizeIncorrect | the message to decrypt is not of the correct size (need to be == private_size)
MessageTooLong | the message to encrypt is too long
MessageNotRecognized | the message decrypted doesn't have a PKCS15 structure (0 2 .. 0 msg)
SignatureTooLong | the message's digest is too long
InvalidParameters | some parameters lead to breaking assumptions.

#### Instances

Instances details

Show Error # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods showsPrec :: Int -> Error -> ShowS # show :: Error -> String # showList :: [Error] -> ShowS #
Eq Error # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods (==) :: Error -> Error -> Bool # (/=) :: Error -> Error -> Bool #

data PublicKey #

Represent a RSA public key

Constructors

PublicKey |
Fields public_size :: Int size of key in bytes public_n :: Integer public p*q public_e :: Integer public exponent e

#### Instances

Instances details

NFData PublicKey # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods rnf :: PublicKey -> () #
Data PublicKey # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> PublicKey -> c PublicKey # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c PublicKey # toConstr :: PublicKey -> Constr # dataTypeOf :: PublicKey -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c PublicKey) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c PublicKey) # gmapT :: (forall b. Data b => b -> b) -> PublicKey -> PublicKey # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> PublicKey -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> PublicKey -> r # gmapQ :: (forall d. Data d => d -> u) -> PublicKey -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> PublicKey -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> PublicKey -> m PublicKey # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> PublicKey -> m PublicKey # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> PublicKey -> m PublicKey #
Read PublicKey # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods readsPrec :: Int -> ReadS PublicKey # readList :: ReadS [PublicKey] # readPrec :: ReadPrec PublicKey # readListPrec :: ReadPrec [PublicKey] #
Show PublicKey # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods showsPrec :: Int -> PublicKey -> ShowS # show :: PublicKey -> String # showList :: [PublicKey] -> ShowS #
Eq PublicKey # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods (==) :: PublicKey -> PublicKey -> Bool # (/=) :: PublicKey -> PublicKey -> Bool #

data PrivateKey #

Represent a RSA private key.

Only the pub, d fields are mandatory to fill.

p, q, dP, dQ, qinv are by-product during RSA generation, but are useful to record here to speed up massively the decrypt and sign operation.

implementations can leave optional fields to 0.

Constructors

PrivateKey |
Fields private_pub :: PublicKey public part of a private key (size, n and e) private_d :: Integer private exponent d private_p :: Integer p prime number private_q :: Integer q prime number private_dP :: Integer d mod (p-1) private_dQ :: Integer d mod (q-1) private_qinv :: Integer q^(-1) mod p

#### Instances

Instances details

NFData PrivateKey # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods rnf :: PrivateKey -> () #
Data PrivateKey # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> PrivateKey -> c PrivateKey # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c PrivateKey # toConstr :: PrivateKey -> Constr # dataTypeOf :: PrivateKey -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c PrivateKey) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c PrivateKey) # gmapT :: (forall b. Data b => b -> b) -> PrivateKey -> PrivateKey # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> PrivateKey -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> PrivateKey -> r # gmapQ :: (forall d. Data d => d -> u) -> PrivateKey -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> PrivateKey -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> PrivateKey -> m PrivateKey # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> PrivateKey -> m PrivateKey # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> PrivateKey -> m PrivateKey #
Read PrivateKey # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods readsPrec :: Int -> ReadS PrivateKey # readList :: ReadS [PrivateKey] # readPrec :: ReadPrec PrivateKey # readListPrec :: ReadPrec [PrivateKey] #
Show PrivateKey # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods showsPrec :: Int -> PrivateKey -> ShowS # show :: PrivateKey -> String # showList :: [PrivateKey] -> ShowS #
Eq PrivateKey # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods (==) :: PrivateKey -> PrivateKey -> Bool # (/=) :: PrivateKey -> PrivateKey -> Bool #

data Blinder #

Blinder which is used to obfuscate the timing of the decryption primitive (used by decryption and signing).

Constructors

Blinder !Integer !Integer |

#### Instances

Instances details

Show Blinder # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods showsPrec :: Int -> Blinder -> ShowS # show :: Blinder -> String # showList :: [Blinder] -> ShowS #
Eq Blinder # |
Instance details Defined in Crypto.PubKey.RSA.Types Methods (==) :: Blinder -> Blinder -> Bool # (/=) :: Blinder -> Blinder -> Bool #

# Generation function

generateWith #

Arguments

:: (Integer, Integer) | chosen distinct primes p and q
-> Int | size in bytes
-> Integer | RSA public exponent `e`
-> Maybe (PublicKey, PrivateKey) |

Generate a key pair given p and q.

p and q need to be distinct prime numbers.

e need to be coprime to phi=(p-1)*(q-1). If that's not the case, the function will not return a key pair. A small hamming weight results in better performance.

- e=0x10001 is a popular choice
- e=3 is popular as well, but proven to not be as secure for some cases.

generate #

Arguments

:: MonadRandom m |
=> Int | size in bytes
-> Integer | RSA public exponent `e`
-> m (PublicKey, PrivateKey) |

generate a pair of (private, public) key of size in bytes.

generateBlinder #

Arguments

:: MonadRandom m |
=> Integer | RSA public N parameter.
-> m Blinder |

Generate a blinder to use with decryption and signing operation

the unique parameter apart from the random number generator is the public key value N.