Galois field
英
美
网络 伽罗华域; 伽罗瓦域; 有限域; 域也叫伽罗瓦; 加洛亚场
双语例句
- The main means used in the paper are group theory, galois field, module algebra and linear algebra.
文中涉及的主要理论有群论，伽罗华域，模代数和线性代数。 - Research of Design Techniques for Reconfigurable Arithmetic Unit in Galois Field
可配置有限域运算单元设计技术研究 - However, the lack of cooperation also brings redundant data due to the linear dependence, even when the Galois field of the coding coefficients is large enough.
但正是由于缺乏协同，即使编码系数的有限域足够大，仍然存在线性相关冗余数据，从而浪费了源节点的带宽。 - Modular inversion is a part of the kernel for computations in the Galois field GF ( p) used by many public key cryptosystems.
公钥密码系统以其算法设计简单、安全性高已经成为密码学领域的一个非常重要的研究课题。 - Then it particularly states the definition and algorithm of Galois field, and analyses the realization of the limited field multiplier based on the dual basis.
第三章分析讨论了RS码的特点，给出了伽罗华有限域的定义与运算规则，推导和分析了基于对偶基的有限域乘法器实现方法。 - By finding out the common modulo 2 additions within groups of Galois field ( GF) multipliers and pre-computing the common items, the GOA can reduce the number of XOR gates efficiently and thus reduce the circuit area.
通过查找钱氏搜索电路中GF（Galoisfield）常数乘法器的公共模2加运算并进行预运算，GOA能够有效地减少电路中异或门的数量，从而减少电路面积。 - Secondly, the algebraic decoding algorithm, used in the printer system, and operational principle in Galois field are explained in this thesis.
其次，讨论了该喷绘机系统所采用的RS码的代数编码和译码算法，以及伽罗瓦域（Galois）内的运算规则。 - The tolerant design of distributed control system control system is that an additional redundant controller is added in Galois field.
分布控制系统的容错配置设计是在Galois域增加冗余控制器。 - This thesis is composed of following parts: the fundamental theory of the modern cryptology is briefly researched, in which the mathematic model of cryptology, data encrypt principle and Galois field theory related with elliptic curve crypto is discussed.
研究了现代密码学相关的基本理论，介绍了密码系统的数学模型、数据加密原理和与椭圆曲线加密密切相关的有限域理论； - The m-seqnence's runs, component sequences and vector sequences in Galois Field are discussed.
本文讨论了Golois域上m序列的游程、分量序列和向量序列。 - And according to the characteristic of Galois Field and the platform where RS encoding is carried out, multiplicative operation in GF is realized by two-table method. With two-table method and symmetry, an encoder realized in time field has been designed.
根据有限域以及实现平台的特征，采用二表法实现有限域内的乘法运算，并设计了二表法对称编码器进行RS码的时域编码。 - An Implementation Algorithm of S-Box Based on Inverse Transformation in Galois Field
一种基于有限域求逆的S-Box实现算法 - In order to realize error-correcting of Quick Response Code, error correction coding theory has been researched. Encoding and decoding of Reed-Solomon have been fulfilled by means of advanced language based on Galois field of GF ( 28).
在研究纠错技术的基础上，采用高级语言，实现了快速响应矩阵码中基于伽罗华域GF（28）的Reed-Solomon编码和译码算法。 - Then we show an algorithm design of the elliptic curve crypto based on Galois field.
设计完成了一种基于有限域的椭圆曲线加密算法，主要包括适合于168bit椭圆曲线加密的有限域乘法、加法、除法器的实现； - In the paper, perfect one-factorizations of K_ ( 12168) and K_ ( 16808) are constructed by applying strong starters to the Galois field and computers.
本文利用有限城上的强初子和计算机构造了K（12168）和K（16808）的完美1-因子分解。 - The arithmetic operations in Galois field is central in the implementation of Reed-Solomon coders, storage and cryptographic algorithms.
有限域的运算已经广泛应用于Reed-Solomon码、存储领域和各种加密算法中。 - In dual galois field n irreducible polynomial
二元有限域上的n次不可约多项式 - In order to reduce the overhead, a new signature function is presented for the detection of control flow errors in this paper. This signature function is defined in Galois field ( GF).
为了降低开销，提出了一种新的用于控制流错误检测的信号函数，该信号函数定义于伽罗瓦域中。 - The parallel multiplier architecture over Galois field GF ( 2~ m) was proposed.
提出了一种并行的有限域GF（2m）乘法器结构。 - An Enumeration Theorem in Symplectic Geometry Over a Galois Field and the Construction of PBIB Designs
有限域上辛几何中的一个计数定理与PBIB设计的构作 - This article according to in the galois field n irreducible polynomial some nature, further has carried on the introduction and the proof to in dual galois field n irreducible polynomial several nature.
本文根据有限域Fq上n次不可约多项式的一些性质，进一步对二元有限域上的n次不可约多项式的几个性质进行了引入及证明。 - Secondly, Galois field theory and finite group theory related with elliptic curve cryptography are discussed.
然后介绍了与椭圆曲线加密密切相关的有限域、有限群等理论。 - Describes the key exchange algorithm based on the discrete logarithm problem of elliptic curve over Galois Field Gives the conditions to construct a secure elliptic curve crypto-system after analyzing the crisis of this crypto-system.
分析了椭圆曲线密码的安全性，给出了构造安全椭圆曲线的条件。 - Then the structure of ECC is expatiated in detail, the algorithms of modular multiplication, modular squaring, modular inversion based on Galois field and point addition, point multiplication, double point based on finite group are focus on too.
接着详细阐述了椭圆曲线的结构，基于二进制有限域上的模乘、模平方、模逆运算和基于有限群上的点加、点乘、倍点运算。 - Firstly, the basic algebra theory of Galois Field ( GF) and the principles of RS codes are presented. The improved Berlekamp-Massey ( BM) iterative algorithm is then analyzed in detail.
首先介绍了有限域的基本代数理论和RS码原理，然后详细分析了改进后的Berlekamp-Massey（BM）迭代算法。 - A conventional design method for the core components~ Galois Field Multiplier, was given in the paper. 3.
给出了RS编码中核心器件伽罗华域乘法器的常规设计方式。 - A dimension reduced algorithm for Galois field multipliers is proposed, and the model analysis shows it lowering space complexity and time delay of the critical path.
模型分析表明该算法不仅显著降低了乘法器的空间复杂度，并有较低的关键路径时延，适用于高效乘法器的设计与实现。 - We proposed a new type of Galois field multiplier, and designed an improved algorithm RS encoder. The design has simplified the hardware circuit and reduced the system costs.
提出了一种新型的伽罗华域乘法器并结合它完成了改进算法的RS编码器设计，该设计简化了硬件电路，降低了系统的开销。 - An arithmetic unit is also designs, which can do the Galois field arithmetic operations of addition, subtraction, multiplication, squaring, inversion and division.
论文还提出了有限域运算单元的设计方法，这个运算单元可以同时完成素数域和二进制域上的所有运算，包括加法、减法、乘法、平方、求逆和除法。 - With the extensive application of public key cryptography in information security, the flexibility of public key cryptography processor becomes more and more important. As its kernel computing unit, the performance of modular multiplier in Galois field is essential.
随着公钥密码在信息安全领域的广泛应用，对公钥密码处理器灵活性的要求越来越高，作为其核心的运算单元，大位宽有限域乘法运算单元的性能至关重要。