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#pragma once
#include <iostream>
#include <cstdint>
//The GF(2^8) field used in AES
class GF28{
int value;
static int reduce(int v,int m);
public:
static const int modulus=0x11b;
static uint8_t multiply(uint8_t x,uint8_t y); //for when the class is overkill
GF28();
explicit GF28(int v);
explicit operator uint8_t() const;
GF28& operator+=(GF28 o);
GF28& operator-=(GF28 o);
GF28& operator<<=(int n); //multiplication by x^n
GF28 operator+(GF28 o) const;
GF28 operator-(GF28 o) const;
GF28 operator*(GF28 o) const;
GF28 operator<<(int n) const; //multiplication by x^n
bool operator==(GF28 o) const;
GF28 inverse() const;
friend std::ostream& operator<<(std::ostream&,GF28);
};
std::ostream& operator<<(std::ostream &os,GF28 p);
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