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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
This scheme applies finite field sufficiently, saves construction period, and creates good social and economic benefits.
该方案充分利用了有限的作业场地，节省了施工工期，创造了良好的社会效益和经济效益。
A new high regular structure of partial parallel multiplier for irreducible trinomial generated finite field is proposed.
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。
The finite field arithmetic, elliptic curve cryptography (ECC) and the finite field multiplier are investigated in this thesis.
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。
Finite field inversion, an important module of elliptic curve cryptosystems and hyper-elliptic curve cryptosystems, is introduced.
介绍了椭圆曲线密码和超椭圆曲线密码算法中一个重要的模块——求逆模块。
The finite field arithmetic, elliptic curve scalar multiplication and the related algorithms are investigated in this dissertation.
本文主要研究有限域运算算法和椭圆曲线数乘运算算法。
This paper, firstly introduces the elliptic curve in finite field and algebraic law of its point group, gives the order of the group.
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。
A Characteristic polynomial algorithm for computation of Chebyshev polynomial over finite field is modified to achieve faster execution speed.
对计算有限域上切比雪夫多项式的特征多项式算法进行改进以提高算法的执行速度。
Then, this paper introduces the math foundation required by ECC, including the addition rule for elliptic curve point defined over finite field.
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。
In this paper, enumeration problems in the orthogonal geometry over a finite field with characteristic 2 are studied, and an enumeration theorem is proved.
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。
Two methods considering dynamic water pressure in ANSYS were studied, which were finite field addition mass method and sequence weak coupling solving method.
重点研究了在ANSYS中考虑动水压力的两种方法，即有限域内附加质量法和顺序弱耦合算法。
Firstly, correlation immune functions over finite field is discussed, the relationship among correlation immune, statistical independence and balance is revealed.
本文首先对有限域上的相关免疫函数进行了研究，揭示了相关免疫性，统计独立性和平衡性之间的关系。
We got the standard form of nonsingular matrix over the finite field by means of BN pair decomposition under the similarity transformation of the permutation matrix.
利用有限域上一般线性群的BN对分解，给出有限域上的可逆矩阵在置换阵相似变换下的标准形。
Firstly, the influence of width of water body and height of water level to vibration property of structure was calculated, according to the finite field addition mass method.
首先，按有限域内附加质量方法计算了不同水体宽度、不同水位高度等对结构自振特性的影响。
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.
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。
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.
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 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.
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。
The presentation of the finite field elements in WDB is studied. And based on the computing method for the optimum WDB, the design for the bit parallel multiplier of finite field is presented.
研究了有限域元素在弱对偶基（WDB）下的表示，基于弱对偶基下的最优弱对偶基的计算方法，给出了有限域比特并行乘法器的设计；
The presentation of the finite field elements in WDB is studied. And based on the computing method for the optimum WDB, the design for the bit parallel multiplier of finite field is presented.
研究了有限域元素在弱对偶基（WDB）下的表示，基于弱对偶基下的最优弱对偶基的计算方法，给出了有限域比特并行乘法器的设计；
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