The operation consistency study for Rijndael algorithm and reed-solonmon algorithm in Galois Field(2⁸)

机译：Galois场中Rijndael算法和reed-solonmon算法的操作一致性研究（2 ^{8 ）}

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The consistent proof of operation in finite field is presented by studying mathematical operations in Galois Field(2⁸) and comparing Rijndael algorithm with Reed-Solomon algorithm in this paper. The explanation for various operations is given from the perspective of polynomial multiply, especially paying more attention to multiplication operation. Through analysis of mathematical operations, author proves that the basic operations for different implementation approaches in Galois Field(2⁸) are consistent essentially.

机译：通过研究Galois Field（2 ^{8 ）中的数学运算并将Rijndael算法与Reed-Solomon算法进行比较，给出了有限域运算的一致证明。从多项式乘法的角度给出了各种运算的解释，尤其是对乘法运算的关注。通过对数学运算的分析，作者证明了Galois Field（2 ^{8 ）中不同实现方法的基本运算本质上是一致的。}}

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来源
《International Conference on Apperceiving Computing and Intelligence Analysis (ICACIA 2009)》|2009年|14-17|共4页
会议地点 Chengdu(CN);Chengdu(CN)
作者
Yang-Qing Zhang; Xiao-Jun Lu;
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作者单位

School of Computer Science Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China;

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原文格式 PDF
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关键词
AES; Finite Field; GF; RS;

机译：AES;有限域; GF; RS;

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1. ALGORITHMS FOR GALOIS EXTENSIONS OF GLOBAL FUNCTION FIELDS [J] . Sutherland Nicole Bulletin of the Australian Mathematical Society . 2016,第3期

机译：全球功能域Galois扩展的算法
2. ALGORITHMS FOR GALOIS GROUP COMPUTATIONS OVER MULTIVARIATE FUNCTION FIELDS [J] . White Gareth Andrew Bulletin of the Australian Mathematical Society . 2016,第1期

机译：多元函数域上Galois群计算的算法
3. Fast arithmetic for public-key algorithms in Galois fields with composite exponents [J] . Paar C., Fleischmann P. IEEE Transactions on Computers . 1999,第10期

机译：具有复合指数的Galois字段中公钥算法的快速算法
4. THE OPERATION CONSISTENCY STUDY FOR RIJNDAEL ALGORITHM AND REED-SOLONMON ALGORITHM IN GALOIS FIELD(2~8) [C] . YANG-QING ZHANG, XIAO-JUN LU International Conference on Apperceiving Computing and Intelligence Analysis . 2009

机译：Galois场中Rijndael算法和芦苇索尔算法的操作一致性研究（2〜8）
5. New hardware algorithms and designs for Montgomery modular inverse computation in Galois fields GF(p) and GF(2n). [D] . Gutub, Adnan Abdul-Aziz. 2003

机译：Galois场GF（p）和GF（2n）中蒙哥马利模块化逆计算的新硬件算法和设计。
6. An algorithm for judging and generating multivariate quadratic quasigroups over Galois fields [O] . Ying Zhang, Huisheng Zhang -1

机译：Galois域上判断和生成多元二次拟群的算法
7. Algorithms for Galois group computations over multivariate function fields [O] . White Gareth 2015

机译：多元函数域上Galois群计算的算法
8. An Algorithm for Determining the Largest Maximally Independent Set of Vectors from an R-Dimensional Vector Space over a Galois Field of n Elements [R] . Jurick, R. R. 1968

机译：一种从n元素的Galois域上的R维向量空间确定最大最大独立向量集的算法

The operation consistency study for Rijndael algorithm and reed-solonmon algorithm in Galois Field(28)

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The operation consistency study for Rijndael algorithm and reed-solonmon algorithm in Galois Field(2⁸)