Computer algebra in coding theory and cryptanalysis 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Stanislav Bulygin 作者

Suedwestdeutscher Verlag fuer Hochschulschriften

译者

2009-08-17 出版日期

136 页数

USD 111.00 价格

Paperback

丛书系列

9783838109480 图书编码

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Computer algebra in coding theory and cryptanalysis 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Computer algebra in coding theory and cryptanalysis 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Computer algebra in coding theory and cryptanalysis 在线电子书图书描述

This book that represents the author's Ph.D. thesis is devoted to applying symbolic methods to the problems of decoding linear codes and of algebraic cryptanalysis. The initial problems are reformulated in terms of systems of polynomial equations over a finite field, which solution(s) should yield a way to solve the initial problems. Solutions of such systems are obtained using Grbner bases. The first part is devoted to an application of system solving to decoding linear codes. The original method for arbitrary linear codes, which in some sense generalizes the Newton identities method, is proposed. Since for the method to work the field equations" are not needed, it is possible to handle quite large codes. The second part is about the algebraic cryptanalysis of the AES. The systems usually considered in this area have many auxiliary variables that are not needed for the key recovery. Therefore, here the approach is provided where these variables are eliminated and a resulting system in key-variables only is then solved. This is shown to be effective for small scale variants of the AES especially when using several plain-/ciphertext pairs.

Computer algebra in coding theory and cryptanalysis 在线电子书下载 mobi epub pdf txt 在线电子书下载

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