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

2009 International Conference on Apperceiving Computing and Intelligence Analysis Pub Date : 2009-12-28 DOI:10.1109/ICACIA.2009.5361164

Yanguo Zhang, Xiao-Jun Lu

{"title":"Rijndael算法与reed-solonmon算法在伽罗瓦域的运算一致性研究(28)","authors":"Yanguo Zhang, Xiao-Jun Lu","doi":"10.1109/ICACIA.2009.5361164","DOIUrl":null,"url":null,"abstract":"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.","PeriodicalId":423210,"journal":{"name":"2009 International Conference on Apperceiving Computing and Intelligence Analysis","volume":"212 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The operation consistency study for Rijndael algorithm and reed-solonmon algorithm in Galois Field(28)\",\"authors\":\"Yanguo Zhang, Xiao-Jun Lu\",\"doi\":\"10.1109/ICACIA.2009.5361164\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"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.\",\"PeriodicalId\":423210,\"journal\":{\"name\":\"2009 International Conference on Apperceiving Computing and Intelligence Analysis\",\"volume\":\"212 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-12-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Conference on Apperceiving Computing and Intelligence Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICACIA.2009.5361164\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Conference on Apperceiving Computing and Intelligence Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICACIA.2009.5361164","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2009 International Conference on Apperceiving Computing and Intelligence Analysis

自引率

0.00%

发文量