RSA trapdoor function using the private key. More...

#include <rsa.h>

Inheritance diagram for InvertibleRSAFunction:

Collaboration diagram for InvertibleRSAFunction:

Public Member Functions
void	Initialize (RandomNumberGenerator &rng, unsigned int modulusBits, const Integer &e=17)
	Create a RSA private key. More...

void	Initialize (const Integer &n, const Integer &e, const Integer &d, const Integer &p, const Integer &q, const Integer &dp, const Integer &dq, const Integer &u)
	Initialize a RSA private key. More...

void	Initialize (const Integer &n, const Integer &e, const Integer &d)
	Initialize a RSA private key. More...

void	BERDecode (BufferedTransformation &bt)
	Decode this object from a BufferedTransformation. More...

void	DEREncode (BufferedTransformation &bt) const
	Encode this object into a BufferedTransformation. More...

void	Load (BufferedTransformation &bt)
	Loads a key from a BufferedTransformation. More...

void	Save (BufferedTransformation &bt) const
	Saves a key to a BufferedTransformation. More...

OID	GetAlgorithmID () const
	Retrieves the OID of the algorithm. More...

void	BERDecodePrivateKey (BufferedTransformation &bt, bool parametersPresent, size_t size)
	decode privateKey part of privateKeyInfo, without the OCTET STRING header More...

void	DEREncodePrivateKey (BufferedTransformation &bt) const
	encode privateKey part of privateKeyInfo, without the OCTET STRING header More...

Integer	CalculateInverse (RandomNumberGenerator &rng, const Integer &x) const
	Calculates the inverse of an element. More...

bool	Validate (RandomNumberGenerator &rng, unsigned int level) const
	Check this object for errors. More...

void	GenerateRandom (RandomNumberGenerator &rng, const NameValuePairs &alg)

bool	GetVoidValue (const char name, const std::type_info &valueType, void pValue) const
	Get a named value. More...

void	AssignFrom (const NameValuePairs &source)
	Assign values to this object. More...

const Integer &	GetPrime1 () const

const Integer &	GetPrime2 () const

const Integer &	GetPrivateExponent () const

const Integer &	GetModPrime1PrivateExponent () const

const Integer &	GetModPrime2PrivateExponent () const

const Integer &	GetMultiplicativeInverseOfPrime2ModPrime1 () const

void	SetPrime1 (const Integer &p)

void	SetPrime2 (const Integer &q)

void	SetPrivateExponent (const Integer &d)

void	SetModPrime1PrivateExponent (const Integer &dp)

void	SetModPrime2PrivateExponent (const Integer &dq)

void	SetMultiplicativeInverseOfPrime2ModPrime1 (const Integer &u)

Public Member Functions inherited from RSAFunction
void	Initialize (const Integer &n, const Integer &e)
	Initialize a RSA public key. More...

void	BERDecodePublicKey (BufferedTransformation &bt, bool parametersPresent, size_t size)
	decode subjectPublicKey part of subjectPublicKeyInfo, without the BIT STRING header More...

void	DEREncodePublicKey (BufferedTransformation &bt) const
	encode subjectPublicKey part of subjectPublicKeyInfo, without the BIT STRING header More...

Integer	ApplyFunction (const Integer &x) const
	Applies the trapdoor. More...

Integer	PreimageBound () const
	Returns the maximum size of a message before the trapdoor function is applied. More...

Integer	ImageBound () const
	Returns the maximum size of a message after the trapdoor function is applied. More...

const Integer &	GetModulus () const

const Integer &	GetPublicExponent () const

void	SetModulus (const Integer &n)

void	SetPublicExponent (const Integer &e)

Public Member Functions inherited from TrapdoorFunction
virtual	~TrapdoorFunction ()

Integer	ApplyRandomizedFunction (RandomNumberGenerator &rng, const Integer &x) const
	Applies the trapdoor function. More...

bool	IsRandomized () const
	Determines if the encryption algorithm is randomized. More...

Public Member Functions inherited from RandomizedTrapdoorFunction
virtual	~RandomizedTrapdoorFunction ()

Public Member Functions inherited from TrapdoorFunctionBounds
virtual	~TrapdoorFunctionBounds ()

virtual Integer	MaxPreimage () const
	Returns the maximum size of a message before the trapdoor function is applied bound to a public key. More...

virtual Integer	MaxImage () const
	Returns the maximum size of a message after the trapdoor function is applied bound to a public key. More...

Public Member Functions inherited from X509PublicKey
virtual	~X509PublicKey ()

virtual bool	BERDecodeAlgorithmParameters (BufferedTransformation &bt)

virtual bool	DEREncodeAlgorithmParameters (BufferedTransformation &bt) const

Public Member Functions inherited from ASN1CryptoMaterial< PublicKey >
void	Save (BufferedTransformation &bt) const
	DER encode ASN.1 object. More...

void	Load (BufferedTransformation &bt)
	BER decode ASN.1 object. More...

Public Member Functions inherited from ASN1Object
virtual	~ASN1Object ()

virtual void	BEREncode (BufferedTransformation &bt) const
	Encode this object into a BufferedTransformation. More...

Public Member Functions inherited from CryptoMaterial
virtual	~CryptoMaterial ()

virtual void	ThrowIfInvalid (RandomNumberGenerator &rng, unsigned int level) const
	Check this object for errors. More...

virtual bool	SupportsPrecomputation () const
	Determines whether the object supports precomputation. More...

virtual void	Precompute (unsigned int precomputationStorage)
	Perform precomputation. More...

virtual void	LoadPrecomputation (BufferedTransformation &storedPrecomputation)
	Retrieve previously saved precomputation. More...

virtual void	SavePrecomputation (BufferedTransformation &storedPrecomputation) const
	Save precomputation for later use. More...

void	DoQuickSanityCheck () const
	Perform a quick sanity check. More...

Public Member Functions inherited from NameValuePairs
virtual	~NameValuePairs ()

template<class T >
bool	GetThisObject (T &object) const
	Get a copy of this object or subobject. More...

template<class T >
bool	GetThisPointer (T *&ptr) const
	Get a pointer to this object. More...

template<class T >
bool	GetValue (const char *name, T &value) const
	Get a named value. More...

template<class T >
T	GetValueWithDefault (const char *name, T defaultValue) const
	Get a named value. More...

CRYPTOPP_DLL std::string	GetValueNames () const
	Get a list of value names that can be retrieved. More...

CRYPTOPP_DLL bool	GetIntValue (const char *name, int &value) const
	Get a named value with type int. More...

CRYPTOPP_DLL int	GetIntValueWithDefault (const char *name, int defaultValue) const
	Get a named value with type int, with default. More...

template<class T >
void	GetRequiredParameter (const char className, const char name, T &value) const
	Retrieves a required name/value pair. More...

CRYPTOPP_DLL void	GetRequiredIntParameter (const char className, const char name, int &value) const
	Retrieves a required name/value pair. More...

Public Member Functions inherited from TrapdoorFunctionInverse
virtual	~TrapdoorFunctionInverse ()

Integer	CalculateRandomizedInverse (RandomNumberGenerator &rng, const Integer &x) const
	Applies the inverse of the trapdoor function. More...

bool	IsRandomized () const
	Determines if the decryption algorithm is randomized. More...

Public Member Functions inherited from RandomizedTrapdoorFunctionInverse
virtual	~RandomizedTrapdoorFunctionInverse ()

Public Member Functions inherited from PKCS8PrivateKey
virtual	~PKCS8PrivateKey ()

virtual bool	BERDecodeAlgorithmParameters (BufferedTransformation &bt)

virtual bool	DEREncodeAlgorithmParameters (BufferedTransformation &bt) const

virtual void	BERDecodeOptionalAttributes (BufferedTransformation &bt)
	decode optional attributes including context-specific tag More...

virtual void	DEREncodeOptionalAttributes (BufferedTransformation &bt) const
	encode optional attributes including context-specific tag More...

Public Member Functions inherited from ASN1CryptoMaterial< PrivateKey >
void	Save (BufferedTransformation &bt) const
	DER encode ASN.1 object. More...

void	Load (BufferedTransformation &bt)
	BER decode ASN.1 object. More...

Public Member Functions inherited from GeneratableCryptoMaterial
virtual	~GeneratableCryptoMaterial ()

void	GenerateRandomWithKeySize (RandomNumberGenerator &rng, unsigned int keySize)
	Generate a random key or crypto parameters. More...

Protected Attributes
Integer	m_d

Integer	m_p

Integer	m_q

Integer	m_dp

Integer	m_dq

Integer	m_u

Protected Attributes inherited from RSAFunction
Integer	m_n

Integer	m_e

Protected Attributes inherited from PKCS8PrivateKey
ByteQueue	m_optionalAttributes

Private Types
typedef InvertibleRSAFunction	ThisClass

Additional Inherited Members
Static Public Member Functions inherited from NameValuePairs
static CRYPTOPP_DLL void CRYPTOPP_API	ThrowIfTypeMismatch (const char *name, const std::type_info &stored, const std::type_info &retrieving)
	Ensures an expected name and type is present. More...

Detailed Description

RSA trapdoor function using the private key.

Since: Crypto++ 1.0

Definition at line 64 of file rsa.h.

Member Typedef Documentation

typedef InvertibleRSAFunction InvertibleRSAFunction::ThisClass

private

Definition at line 66 of file rsa.h.

Member Function Documentation

void InvertibleRSAFunction::AssignFrom ( const NameValuePairs & source )

virtual

Assign values to this object.

This function can be used to create a public key from a private key.

Reimplemented from RSAFunction.

Definition at line 280 of file rsa.cpp.

void InvertibleRSAFunction::BERDecode ( BufferedTransformation & bt )

inlinevirtual

Decode this object from a BufferedTransformation.

Parameters

bt	BufferedTransformation object

Uses Basic Encoding Rules (BER)

Reimplemented from PKCS8PrivateKey.

Definition at line 101 of file rsa.h.

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void InvertibleRSAFunction::BERDecodePrivateKey	(	BufferedTransformation &	bt,
		bool	parametersPresent,
		size_t	size
	)

virtual

decode privateKey part of privateKeyInfo, without the OCTET STRING header

Implements PKCS8PrivateKey.

Definition at line 196 of file rsa.cpp.

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Integer InvertibleRSAFunction::CalculateInverse	(	RandomNumberGenerator &	rng,
		const Integer &	x
	)		const

virtual

Calculates the inverse of an element.

Parameters

rng	a `RandomNumberGenerator` derived class
x	the element

Returns: the inverse of the element in the group

Implements TrapdoorFunctionInverse.

Reimplemented in InvertibleRSAFunction_ISO.

Definition at line 227 of file rsa.cpp.

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void InvertibleRSAFunction::DEREncode ( BufferedTransformation & bt ) const

inlinevirtual

Encode this object into a BufferedTransformation.

Parameters

bt	BufferedTransformation object

Uses Distinguished Encoding Rules (DER)

Reimplemented from PKCS8PrivateKey.

Definition at line 103 of file rsa.h.

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void InvertibleRSAFunction::DEREncodePrivateKey ( BufferedTransformation & bt ) const

virtual

encode privateKey part of privateKeyInfo, without the OCTET STRING header

Implements PKCS8PrivateKey.

Definition at line 212 of file rsa.cpp.

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void InvertibleRSAFunction::GenerateRandom	(	RandomNumberGenerator &	rng,
		const NameValuePairs &	alg
	)

virtual

parameters: (ModulusSize, PublicExponent (default 17))

Reimplemented from GeneratableCryptoMaterial.

Definition at line 106 of file rsa.cpp.

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OID InvertibleRSAFunction::GetAlgorithmID ( ) const

inlinevirtual

Retrieves the OID of the algorithm.

Returns: OID of the algorithm

Implements PKCS8PrivateKey.

Definition at line 109 of file rsa.h.

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const Integer& InvertibleRSAFunction::GetModPrime1PrivateExponent ( ) const

inline

Definition at line 127 of file rsa.h.

const Integer& InvertibleRSAFunction::GetModPrime2PrivateExponent ( ) const

inline

Definition at line 128 of file rsa.h.

const Integer& InvertibleRSAFunction::GetMultiplicativeInverseOfPrime2ModPrime1 ( ) const

inline

Definition at line 129 of file rsa.h.

const Integer& InvertibleRSAFunction::GetPrime1 ( ) const

inline

Definition at line 124 of file rsa.h.

const Integer& InvertibleRSAFunction::GetPrime2 ( ) const

inline

Definition at line 125 of file rsa.h.

const Integer& InvertibleRSAFunction::GetPrivateExponent ( ) const

inline

Definition at line 126 of file rsa.h.

bool InvertibleRSAFunction::GetVoidValue	(	const char *	name,
		const std::type_info &	valueType,
		void *	pValue
	)		const

virtual

Get a named value.

Parameters

name	the name of the object or value to retrieve
valueType	reference to a variable that receives the value
pValue	void pointer to a variable that receives the value

Returns: true if the value was retrieved, false otherwise

GetVoidValue() retrieves the value of name if it exists.

Note: GetVoidValue() is an internal function and should be implemented by derived classes. Users should use one of the other functions instead.

See also: GetValue(), GetValueWithDefault(), GetIntValue(), GetIntValueWithDefault(), GetRequiredParameter() and GetRequiredIntParameter()

Reimplemented from RSAFunction.

Definition at line 268 of file rsa.cpp.

void InvertibleRSAFunction::Initialize	(	RandomNumberGenerator &	rng,
		unsigned int	modulusBits,
		const Integer &	e = `17`
	)

Create a RSA private key.

Parameters

rng	a RandomNumberGenerator derived class
modulusBits	the size of the modulus, in bits
e	the desired public exponent

Initialize() creates a new keypair using a public exponent of 17.

This function overload of Initialize() creates a new private key because it takes a RandomNumberGenerator() as a parameter. If you have an existing keypair, then use one of the other Initialize() overloads.

Definition at line 147 of file rsa.cpp.

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void InvertibleRSAFunction::Initialize	(	const Integer &	n,
		const Integer &	e,
		const Integer &	d,
		const Integer &	p,
		const Integer &	q,
		const Integer &	dp,
		const Integer &	dq,
		const Integer &	u
	)

inline

Initialize a RSA private key.

Parameters

n	modulus
e	public exponent
d	private exponent
p	first prime factor
q	second prime factor
dp	d mod p
dq	d mod q
u	q^-1 mod p

This Initialize() function overload initializes a private key from existing parameters.

Definition at line 89 of file rsa.h.

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void InvertibleRSAFunction::Initialize	(	const Integer &	n,
		const Integer &	e,
		const Integer &	d
	)

Initialize a RSA private key.

Parameters

n	modulus
e	public exponent
d	private exponent

This Initialize() function overload initializes a private key from existing parameters. Initialize() will factor n using d and populate {p,q,dp,dq,u}.

Definition at line 152 of file rsa.cpp.

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void InvertibleRSAFunction::Load ( BufferedTransformation & bt )

inlinevirtual

Loads a key from a BufferedTransformation.

Parameters

bt	the source BufferedTransformation

Exceptions

KeyingErr

Load() attempts to read material from a BufferedTransformation. If the material is a key that was generated outside the library, then the following usually applies:

the key should be ASN.1 BER encoded
the key should be a "key info"

"key info" means the key should have an object identifier with an algorthm id, like a subjectPublicKeyInfo.

To read a "raw" key without the "key info", then call the key's BERDecode() method.

Note: Load generally does not check that the key is valid. Call Validate(), if needed.

Reimplemented from CryptoMaterial.

Definition at line 105 of file rsa.h.

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void InvertibleRSAFunction::Save ( BufferedTransformation & bt ) const

inlinevirtual

Saves a key to a BufferedTransformation.

Parameters

bt	the destination BufferedTransformation

Exceptions

NotImplemented

Save() writes the material to a BufferedTransformation.

If the material is a key, then the key is written with ASN.1 DER encoding. The key includes an object identifier with an algorthm id, like a subjectPublicKeyInfo.

A "raw" key without the "key info" can be saved using a key's DEREncode() method.

If a derived class does not override Save(), then the base class throws NotImplemented().

Reimplemented from CryptoMaterial.

Definition at line 107 of file rsa.h.

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void InvertibleRSAFunction::SetModPrime1PrivateExponent ( const Integer & dp )

inline

Definition at line 134 of file rsa.h.

void InvertibleRSAFunction::SetModPrime2PrivateExponent ( const Integer & dq )

inline

Definition at line 135 of file rsa.h.

void InvertibleRSAFunction::SetMultiplicativeInverseOfPrime2ModPrime1 ( const Integer & u )

inline

Definition at line 136 of file rsa.h.

void InvertibleRSAFunction::SetPrime1 ( const Integer & p )

inline

Definition at line 131 of file rsa.h.

void InvertibleRSAFunction::SetPrime2 ( const Integer & q )

inline

Definition at line 132 of file rsa.h.

void InvertibleRSAFunction::SetPrivateExponent ( const Integer & d )

inline

Definition at line 133 of file rsa.h.

bool InvertibleRSAFunction::Validate	(	RandomNumberGenerator &	rng,
		unsigned int	level
	)		const

virtual

Check this object for errors.

Parameters

rng	a RandomNumberGenerator for objects which use randomized testing
level	the level of thoroughness

Returns: true if the tests succeed, false otherwise

There are four levels of thoroughness:

0 - using this object won't cause a crash or exception
1 - this object will probably function, and encrypt, sign, other operations correctly
2 - ensure this object will function correctly, and perform reasonable security checks
3 - perform reasonable security checks, and do checks that may take a long time

Level 0 does not require a RandomNumberGenerator. A NullRNG() can be used for level 0. Level 1 may not check for weak keys and such. Levels 2 and 3 are recommended.

See also: ThrowIfInvalid()

Reimplemented from RSAFunction.

Definition at line 247 of file rsa.cpp.

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Member Data Documentation

Integer InvertibleRSAFunction::m_d

protected

Definition at line 139 of file rsa.h.

Integer InvertibleRSAFunction::m_dp

protected

Definition at line 139 of file rsa.h.

Integer InvertibleRSAFunction::m_dq

protected

Definition at line 139 of file rsa.h.

Integer InvertibleRSAFunction::m_p

protected

Definition at line 139 of file rsa.h.

Integer InvertibleRSAFunction::m_q

protected

Definition at line 139 of file rsa.h.

Integer InvertibleRSAFunction::m_u

protected

Definition at line 139 of file rsa.h.

The documentation for this class was generated from the following files:

src/cryptopp/rsa.h
src/cryptopp/rsa.cpp

Public Member Functions

Protected Attributes

Private Types

Additional Inherited Members

Detailed Description

Member Typedef Documentation

Member Function Documentation

Member Data Documentation