Key Generation Algorithms In Cryptography
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  1. Key Generation In Cryptography

Danger

This is a “Hazardous Materials” module. You should ONLY use it if you’re100% absolutely sure that you know what you’re doing because this module isfull of land mines, dragons, and dinosaurs with laser guns.

Key generation is the process of generating keys for cryptography. The key is used to encrypt and decrypt data whatever the data is being encrypted or decrypted. Modern cryptographic systems include symmetric-key algorithms (such as DES and AES) and public-key algorithms (such as RSA).

DSA is a public-key algorithm for signing messages.

Generation¶

cryptography.hazmat.primitives.asymmetric.dsa.generate_private_key(key_size, backend)[source]

Generate a DSA private key from the given key size. This function willgenerate a new set of parameters and key in one step.

Parameters:
  • key_size (int) – The length of the modulus in bits. It shouldbe either 1024, 2048 or 3072. For keys generated in 2015 this shouldbe at least 2048 (See page 41). Note that some applications(such as SSH) have not yet gained support for larger key sizesspecified in FIPS 186-3 and are still restricted to only the1024-bit keys specified in FIPS 186-2.
  • backend – An instance ofDSABackend.
Returns:

An instance ofDSAPrivateKey.

Raises:

cryptography.exceptions.UnsupportedAlgorithm – This is raised ifthe provided backend does not implementDSABackend

cryptography.hazmat.primitives.asymmetric.dsa.generate_parameters(key_size, backend)[source]

New in version 0.5.

Generate DSA parameters using the provided backend.

Parameters:
  • key_size (int) – The length of q. Itshould be either 1024, 2048 or 3072. For keys generated in 2015 thisshould be at least 2048 (See page 41). Note that some applications(such as SSH) have not yet gained support for larger key sizesspecified in FIPS 186-3 and are still restricted to only the1024-bit keys specified in FIPS 186-2.
  • backend – An instance ofDSABackend.
Returns:

An instance ofDSAParameters.

Raises:

cryptography.exceptions.UnsupportedAlgorithm – This is raised ifthe provided backend does not implementDSABackend

Signing¶

Using a DSAPrivateKeyinstance.

The signature is a bytes object, whose contents is DER encoded asdescribed in RFC 3279. This can be decoded usingdecode_dss_signature().

If your data is too large to be passed in a single call, you can hash itseparately and pass that value usingPrehashed.

Verification¶

Verification is performed using aDSAPublicKey instance.You can get a public key object withload_pem_public_key(),load_der_public_key(),public_key(), orpublic_key().

verify() takes the signature in the same format as is returned bysign().

verify() will raise an InvalidSignatureexception if the signature isn’t valid.

If your data is too large to be passed in a single call, you can hash itseparately and pass that value usingPrehashed.

Numbers¶

class cryptography.hazmat.primitives.asymmetric.dsa.DSAParameterNumbers(p, q, g)[source]

The collection of integers that make up a set of DSA parameters.

p
Type:int

The public modulus.

q
Type:int

The sub-group order.

g
Type:int

Key Generation In Cryptography

The generator.

parameters(backend)[source]
Parameters:backend – An instance ofDSABackend.
Returns:A new instance ofDSAParameters.
class cryptography.hazmat.primitives.asymmetric.dsa.DSAPublicNumbers(y, parameter_numbers)[source]

New in version 0.5.

The collection of integers that make up a DSA public key.

y
Type:int

The public value y.

parameter_numbers
Type:DSAParameterNumbers

The DSAParameterNumbersassociated with the public key.

public_key(backend)[source]
Parameters:backend – An instance ofDSABackend.
Returns:A new instance ofDSAPublicKey.
class cryptography.hazmat.primitives.asymmetric.dsa.DSAPrivateNumbers(x, public_numbers)[source]

The collection of integers that make up a DSA private key.

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Warning

Revealing the value of x will compromise the security of anycryptographic operations performed.

x
Type:int

The private value x. Windows activation key generator reddit.

public_numbers
Type:DSAPublicNumbers

The DSAPublicNumbersassociated with the private key.

private_key(backend)[source]
Parameters:backend – An instance ofDSABackend.
Returns:A new instance ofDSAPrivateKey.

Key interfaces¶

class cryptography.hazmat.primitives.asymmetric.dsa.DSAParameters[source]

DSA parameters.

generate_private_key()[source]

New in version 0.5.

Generate a DSA private key. This method can be used to generate manynew private keys from a single set of parameters.

Returns:An instance ofDSAPrivateKey.
class cryptography.hazmat.primitives.asymmetric.dsa.DSAParametersWithNumbers[source]

Extends DSAParameters.

parameter_numbers()[source]

Create aDSAParameterNumbersobject.

Returns:ADSAParameterNumbersinstance.
class cryptography.hazmat.primitives.asymmetric.dsa.DSAPrivateKey[source]

New in version 0.3.

A DSA private key. A DSA private key that is not anopaque key also implements DSAPrivateKeyWithSerializationto provide serialization methods.

public_key()[source]
Returns:DSAPublicKey

An DSA public key object corresponding to the values of the private key.

parameters()[source]
Returns:DSAParameters

The DSAParameters object associated with this private key.

key_size
Type:int

The bit length of q.

sign(data, algorithm)[source]

Changed in version 1.6: Prehashedcan now be used as an algorithm.

Sign one block of data which can be verified later by others using thepublic key.

Parameters:
  • data (bytes) – The message string to sign.
  • algorithm – An instance ofHashAlgorithm orPrehashedif the data you want to sign has already been hashed.
Return bytes:

Signature.

class cryptography.hazmat.primitives.asymmetric.dsa.DSAPrivateKeyWithSerialization[source]

This interface contains additional methods relating to serialization.Any object with this interface also has all the methods fromDSAPrivateKey.

Data
private_numbers()[source]

Create aDSAPrivateNumbersobject.

Returns:ADSAPrivateNumbersinstance.
private_bytes(encoding, format, encryption_algorithm)[source]

Allows serialization of the key to bytes. Encoding (PEM orDER),format (TraditionalOpenSSLorPKCS8)and encryption algorithm (such asBestAvailableEncryptionor NoEncryption)are chosen to define the exact serialization.

Parameters:
  • encoding – A value from theEncoding enum.
  • format – A value from thePrivateFormatenum.
  • encryption_algorithm – An instance of an object conforming to theKeySerializationEncryptioninterface.
Return bytes:

Serialized key.

class cryptography.hazmat.primitives.asymmetric.dsa.DSAPublicKey[source]

New in version 0.3.

A DSA public key.

key_size
Type:int

The bit length of q.

parameters()[source]
Returns:DSAParameters

The DSAParameters object associated with this public key.

public_numbers()[source]

Create aDSAPublicNumbersobject.

Returns:ADSAPublicNumbersinstance.
public_bytes(encoding, format)[source]

Allows serialization of the key to bytes. Encoding (PEM orDER) andformat (SubjectPublicKeyInfo)are chosen to define the exact serialization.

Parameters:
  • encoding – A value from theEncoding enum.
  • format – A value from thePublicFormat enum.
Return bytes:

Serialized key.

verify(signature, data, algorithm)[source]

Changed in version 1.6: Prehashedcan now be used as an algorithm.

Verify one block of data was signed by the private keyassociated with this public key.

Parameters:
  • signature (bytes) – The signature to verify.
  • data (bytes) – The message string that was signed.
  • algorithm – An instance ofHashAlgorithm orPrehashedif the data you want to sign has already been hashed.
Raises:

cryptography.exceptions.InvalidSignature – If the signature doesnot validate.

class cryptography.hazmat.primitives.asymmetric.dsa.DSAPublicKeyWithSerialization

Alias for DSAPublicKey.

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