GF(2^n) for b233 and k233. More...
Inheritance diagram for GF2NT233:
Public Member Functions | |
| GF2NT233 (unsigned int t0, unsigned int t1, unsigned int t2) | |
| GF2NP * | Clone () const |
| const Element & | Multiply (const Element &a, const Element &b) const |
| const Element & | Square (const Element &a) const |
| Public Member Functions inherited from GF2NT | |
| GF2NT (unsigned int t0, unsigned int t1, unsigned int t2) | |
| void | DEREncode (BufferedTransformation &bt) const |
| const Element & | Multiply (const Element &a, const Element &b) const |
| const Element & | Square (const Element &a) const |
| Square an element in the group. More... | |
| const Element & | MultiplicativeInverse (const Element &a) const |
| 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 EuclideanDomain & | GetDomain () 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... | |
| AbstractRing & | operator= (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< PolynomialMod2 > | EuclideanDomain |
| 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) for b233 and k233.
GF2NT233 is a specialization of GF2NT that provides Multiply() and Square() operations when carryless multiplies is available.
The documentation for this class was generated from the following files:
