Crypto++  5.6.5 Free C++ class library of cryptographic schemes
GF2NT Class Reference

GF(2^n) with Trinomial Basis. More...

Inheritance diagram for GF2NT:

## Public Member Functions

GF2NT (unsigned int t0, unsigned int t1, unsigned int t2)

GF2NPClone () const

void DEREncode (BufferedTransformation &bt) const

const Element & Multiply (const Element &a, const Element &b) const
Multiplies elements in the group. More...

const Element & Square (const Element &a) const
Square an element in the group. More...

const Element & MultiplicativeInverse (const Element &a) const
Calculate the multiplicative inverse of an element in the group. More...

Public Member Functions inherited from GF2NP
GF2NP (const PolynomialMod2 &modulus)

void DEREncodeElement (BufferedTransformation &out, const Element &a) const

void BERDecodeElement (BufferedTransformation &in, Element &a) const

bool Equal (const Element &a, const Element &b) const
Compare two elements for equality. More...

bool IsUnit (const Element &a) const
Determines whether an element is a unit in the group. More...

unsigned int MaxElementBitLength () const

unsigned int MaxElementByteLength () const

Element SquareRoot (const Element &a) const

Element HalfTrace (const Element &a) const

Element SolveQuadraticEquation (const Element &a) const

Public Member Functions inherited from QuotientRing< EuclideanDomainOf< PolynomialMod2 > >
QuotientRing (const EuclideanDomain &domain, const Element &modulus)

const EuclideanDomainGetDomain () const

const Element & GetModulus () const

bool Equal (const Element &a, const Element &b) const
Compare two elements for equality. More...

const Element & Identity () const
Provides the Identity element. More...

const Element & Add (const Element &a, const Element &b) const
Adds elements in the group. More...

Element & Accumulate (Element &a, const Element &b) const
TODO. More...

const Element & Inverse (const Element &a) const
Inverts the element in the group. More...

const Element & Subtract (const Element &a, const Element &b) const
Subtracts elements in the group. More...

Element & Reduce (Element &a, const Element &b) const
Reduces an element in the congruence class. More...

const Element & Double (const Element &a) const
Doubles an element in the group. More...

bool IsUnit (const Element &a) const
Determines whether an element is a unit in the group. More...

const Element & MultiplicativeIdentity () const
Retrieves the multiplicative identity. More...

const Element & Multiply (const Element &a, const Element &b) const
Multiplies elements in the group. More...

const Element & Square (const Element &a) const
Square an element in the group. More...

const Element & MultiplicativeInverse (const Element &a) const
Calculate the multiplicative inverse of an element in the group. More...

bool operator== (const QuotientRing< EuclideanDomainOf< PolynomialMod2 > > &rhs) const

Public Member Functions inherited from AbstractRing< EuclideanDomainOf< PolynomialMod2 >::Element >
AbstractRing ()
Construct an AbstractRing.

AbstractRing (const AbstractRing &source)
Copy construct an AbstractRing. More...

AbstractRingoperator= (const AbstractRing &source)
Assign an AbstractRing. More...

virtual const Element & Divide (const Element &a, const Element &b) const
Divides elements in the group. More...

virtual Element Exponentiate (const Element &a, const Integer &e) const
Raises a base to an exponent in the group. More...

virtual Element CascadeExponentiate (const Element &x, const Integer &e1, const Element &y, const Integer &e2) const
TODO. More...

virtual void SimultaneousExponentiate (Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
Exponentiates a base to multiple exponents in the Ring. More...

virtual const AbstractGroup< EuclideanDomainOf< PolynomialMod2 >::Element > & MultiplicativeGroup () const
Retrieves the multiplicative group. More...

Public Member Functions inherited from AbstractGroup< EuclideanDomainOf< PolynomialMod2 >::Element >
virtual bool InversionIsFast () const
Determine if inversion is fast. More...

virtual Element ScalarMultiply (const Element &a, const Integer &e) const
Performs a scalar multiplication. More...

virtual Element CascadeScalarMultiply (const Element &x, const Integer &e1, const Element &y, const Integer &e2) const
TODO. More...

virtual void SimultaneousMultiply (Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
Multiplies a base to multiple exponents in a group. More...

## Additional Inherited Members

Public Types inherited from QuotientRing< EuclideanDomainOf< PolynomialMod2 > >
typedef EuclideanDomainOf< PolynomialMod2EuclideanDomain

typedef EuclideanDomainOf< PolynomialMod2 >::Element Element

Public Types inherited from AbstractRing< EuclideanDomainOf< PolynomialMod2 >::Element >
typedef EuclideanDomainOf< PolynomialMod2 >::Element Element

Public Types inherited from AbstractGroup< EuclideanDomainOf< PolynomialMod2 >::Element >
typedef EuclideanDomainOf< PolynomialMod2 >::Element Element

## Detailed Description

GF(2^n) with Trinomial Basis.

Definition at line 326 of file gf2n.h.

## Member Function Documentation

 const GF2NT::Element & GF2NT::Multiply ( const Element & a, const Element & b ) const
virtual

Multiplies elements in the group.

Parameters
 a the multiplicand b the multiplier
Returns
the product of a and b

Definition at line 751 of file gf2n.cpp.

 const Element& GF2NT::Square ( const Element & a ) const
inlinevirtual

Square an element in the group.

Parameters
 a the element
Returns
the element squared

Reimplemented from AbstractRing< EuclideanDomainOf< PolynomialMod2 >::Element >.

Definition at line 337 of file gf2n.h.

 const GF2NT::Element & GF2NT::MultiplicativeInverse ( const Element & a ) const
virtual

Calculate the multiplicative inverse of an element in the group.

Parameters
 a the element

Definition at line 606 of file gf2n.cpp.

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