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1·A fast finite field multiplier is proposed in this paper.

提出了一种快速有限域乘法器结构。

2·AimTo study the properties of a equation in a finite field.

目的研究有限域中一个方程的性质。

3·One method is proposed to constructed perfect nonlinear S-box over finite field.

给出有限域上完全非线性s -盒的一种构造方法。

4·This thesis focuses on two basic mathematical algorithm based on the same finite field.

着重研究了基于同一有限域上的两个算法在基本数学运算。

5·Finite Field, Theory of Finite Groups, Chaos Theory, Coding, Digital Watermarking, Cryptography.

有限域，有限群论，混沌理论，编码，数字水印，密码学。

6·The arithmetic software based on the polynomial basis of finite field is provided in this paper.

利用有限域的多项式基表示法研制了有限域的算术软件。

7·The bases selected by both parties are hidden by making use of ergodic matrix over finite field.

通过利用有限域上的遍历矩阵对当事双方各自所选择的基进行隐藏，实现了交换操作。

8·Finite field multiplication is the basic arithmetic operation of many cryptosystem and coding theory.

有限域上的乘法运算足许多加密系统和基于编码理论系统中必须完成的一种基本运算。

9·For example: an existential sentence is true on some finite field if and only if it is true on some field.

例如：一个存在语句能在一有限域上成立当且只当它能在一域上成立。

10·The trace representation and the period of any linear recurring sequence over a finite field are obtained.

导出有限域上任意线性递归序列的迹表示和周期。