Rijndael算法与reed-solonmon算法在伽罗瓦域的运算一致性研究(28)

Yanguo Zhang, Xiao-Jun Lu
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引用次数: 0

摘要

本文通过研究伽罗瓦场中的数学运算(28),并将Rijndael算法与Reed-Solomon算法进行比较,给出了有限域中运算的一致性证明。从多项式乘法的角度对各种运算进行了解释,尤其注重乘法运算。通过对数学运算的分析,作者证明了伽罗瓦场(28)中不同实现方法的基本运算在本质上是一致的。
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The operation consistency study for Rijndael algorithm and reed-solonmon algorithm in Galois Field(28)
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.
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