基本概念
有限域(Finite Field)
A finite field is a finite set on which the four operations multiplication, addition, subtraction and division (excluding division by zero) are defined, satisfying the rules of arithmetic known as the field axioms.
The simplest examples of finite fields are the fields of prime order: for each prime number p, the field GF(p)of order (that is, size) p may be constructed as the integers modulo p.
只包含有限個(gè)元素的域稱為有限域洋丐。
在該域上定了了加減乘除四種操作。
GF(p)
元素個(gè)數(shù)為p的有限域一般記為GF(p)
GF代表伽羅華域美莫,Galois Field
模運(yùn)算
模運(yùn)算
GF(2)
GF(8)
GF(256)
References:
https://wenku.baidu.com/view/2193ce590029bd64793e2c39.html?from=search
https://en.wikipedia.org/wiki/Finite_field