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# gf2_32.h

    00001 #ifndef CRYPTOPP_GF2_32_H
    00002 #define CRYPTOPP_GF2_32_H
    00003
    00004 #include "cryptlib.h"
    00005
    00006 NAMESPACE_BEGIN(CryptoPP)
    00007
    00008 //! GF(2^32) with polynomial basis
    00009 class GF2_32
    00010 {
    00011 public:
    00012         typedef word32 Element;
    00013         typedef int RandomizationParameter;
    00014
    00015         GF2_32(word32 modulus=0x0000008D) : m_modulus(modulus) {}
    00016
    00017         Element RandomElement(RandomNumberGenerator &rng, int ignored = 0) const
    00018                 {return rng.GenerateWord32();}
    00019
    00020         bool Equal(Element a, Element b) const
    00021                 {return a==b;}
    00022
    00023         Element Identity() const
    00024                 {return 0;}
    00025
    00026         Element Add(Element a, Element b) const
    00027                 {return a^b;}
    00028
    00029         Element& Accumulate(Element &a, Element b) const
    00030                 {return a^=b;}
    00031
    00032         Element Inverse(Element a) const
    00033                 {return a;}
    00034
    00035         Element Subtract(Element a, Element b) const
    00036                 {return a^b;}
    00037
    00038         Element& Reduce(Element &a, Element b) const
    00039                 {return a^=b;}
    00040
    00041         Element Double(Element a) const
    00042                 {return 0;}
    00043
    00044         Element MultiplicativeIdentity() const
    00045                 {return 1;}
    00046
    00047         Element Multiply(Element a, Element b) const;
    00048
    00049         Element Square(Element a) const
    00050                 {return Multiply(a, a);}
    00051
    00052         bool IsUnit(Element a) const
    00053                 {return a != 0;}
    00054
    00055         Element MultiplicativeInverse(Element a) const;
    00056
    00057         Element Divide(Element a, Element b) const
    00058                 {return Multiply(a, MultiplicativeInverse(b));}
    00059
    00060 private:
    00061         word32 m_modulus;
    00062 };
    00063
    00064 NAMESPACE_END
    00065
    00066 #endif