提出了一种快速有限域乘法器结构。
作者给出计算有限域上正规基乘法表的一个算法。
The author proposes an algorithm for computing the multiplication table of the normal basis over the finite fields.
导出有限域上任意线性递归序列的迹表示和周期。
The trace representation and the period of any linear recurring sequence over a finite field are obtained.
本文概述了有限域代数曲线上的码的一些最近结果。
We survey some recent results on codes from algebraic curves over finite fields.
给出有限域上完全非线性s -盒的一种构造方法。
One method is proposed to constructed perfect nonlinear S-box over finite field.
本文主要研究有限域运算算法和椭圆曲线数乘运算算法。
The finite field arithmetic, elliptic curve scalar multiplication and the related algorithms are investigated in this dissertation.
本文给出了有限域上单变元多项式分解的一种概率算法。
A probabilistic algorithm for factoring univariate polynomials over finite fields is presented.
利用有限域的多项式基表示法研制了有限域的算术软件。
The arithmetic software based on the polynomial basis of finite field is provided in this paper.
有限域，有限群论，混沌理论，编码，数字水印，密码学。
Finite Field, Theory of Finite Groups, Chaos Theory, Coding, Digital Watermarking, Cryptography.
在有限域的基本运算中，乘法逆元的计算是最费时间的运算。
Among the basic arithmetic operations over finite fields, the computation of multiplicative inverse is the most time consuming operation.
基于有限域上离散对数问题提出了一种动态多秘密分享方案。
Based on the computational difficulty in computing discrete logarithms, this paper proposes a dynamic multiple secrets sharing scheme.
方案的安全性基于求解有限域上椭圆曲线离散对数的困难性。
The scheme is efficient and practical, and its security is based on the difficulty of computing ellipse curve discrete logarithms problem.
研究迷向子群的结构是有限域上典型群几何中的一个重要问题。
To study the structure of isotropy subgroups is an important problem in geometry of classical groups over finite fields.
提出了一类新的具有高度规则性的部分并行三项式有限域乘法器架构。
A new high regular structure of partial parallel multiplier for irreducible trinomial generated finite field is proposed.
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。
For example: an existential sentence is true on some finite field if and only if it is true on some field.
基于单向函数和有限域上离散对数问题提出一种动态多秘密分享方案。
Based on the computational difficulty of computing discrete logarithms, a dynamic multiple secrets sharing scheme is proposed.
本论文研究的主要内容是有限域算术、椭圆曲线加密算法和有限域乘法器。
The finite field arithmetic, elliptic curve cryptography (ECC) and the finite field multiplier are investigated in this thesis.
有限域上的模逆运算是许多公钥密码系统使用的算法中的核心域运算之一。
Modular inversion is a part of the kernel for computations in the Galois field GF (p) used by many public key cryptosystems.
本文研究特征为2的有限域上正交几何中的计数问题，给出了一个计数定理。
In this paper, enumeration problems in the orthogonal geometry over a finite field with characteristic 2 are studied, and an enumeration theorem is proved.
依据有限域直和与有限环同构的代数性质，对多路复用系统构造线性分组码。
According to algebraic property that a direct sum of Galois fields is isomorphic to a finite ring, the linear block code for multiplexing systems is proposed.
本文给出有限域上多项式周期存在的构造性证明，利用它可求出多项式的周期。
This paper gives a constructive proof of existence of period of polynomials infinite field. Using it we can also find the period of polynomials.
本文研究了幂等阵和对合阵的特性，并计算出有限域上幂等阵和对合阵的个数。
In this paper, author makes a study on the characteristics of idempotent matrix and involution matrix, and computes the number of idempotent matrices and involution matrices over finite field.
研究设计了一种具有自主知识产权的高速、高精度的有限域多项式相乘运算核。
In this thesis, the design and FPGA implementation result of a finite field polynomial multiplier is presented, whose arithmetic architecture is based on the number theoretic transform.
该文首先介绍有限域上定义的椭圆曲线及点群运算规则，给出椭圆曲线点群的阶。
This paper, firstly introduces the elliptic curve in finite field and algebraic law of its point group, gives the order of the group.
本文给出了有限域上最优正规基乘法表的一个计算方法，改进了孙琦的相应结果。
The authors propose an algorithm for computing multiplication tables of optimal normal bases over finite fields, which is better than those corresponding results of Sun.
有限域运算的实现中模乘运算使用改进的串行结构以达到面积与速度的合理匹配。
The implementation of operators for modular multiplication over the Finite Fields adopts an improved serial structure, considering the trade-off between size and speed.
其次介绍了ECC的数学基础，对有限域上椭圆曲线点的运算规则进行了详细描述。
Then, this paper introduces the math foundation required by ECC, including the addition rule for elliptic curve point defined over finite field.
这表明粘弹性边界能更好地模拟波动能量从有限域从无限域的逸散，其结果更精确。
This shows that the viscoelastic boundary can better simulate the volatility of energy from a finite field from the infinite domain, dissipation, and the results are more accurate.
在伽罗华有限域理论的基础上，用素域上的二次素数序列对素数码的码函数进行改进。
Based on Galois theory of definite field, using the square prime sequence, the code function of basic prime code is modified and extended.
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。
The bases selected by both parties are hidden by making use of ergodic matrix over finite field.
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