Computer algebra in coding theory and cryptanalysis

Name: Computer algebra in coding theory and cryptanalysis
Brand: Sudwestdeutscher Verlag Fur Hochschulschriften AG
SKU: 9783838109480
Price: 64.04 EUR
Availability: InStock

Автор: Stanislav Bulygin

Език:

Корици: С меки корици

Издател: Sudwestdeutscher Verlag Fur Hochschulschriften AG

Наличност: Външен склад

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This book that represents the author's Ph.D. thesis is devoted to applying symbolic methods to the p...

Информация за книгата

Автор

Stanislav Bulygin

Език

Немски език

Корици

Книга - С меки корици

Издадена

2009

страници

136

EAN

9783838109480

ISBN

3838109481

Enbook ID

06891958

Издател

Sudwestdeutscher Verlag Fur Hochschulschriften AG

Теглоt

209

Размери

152 x 229 x 8

Пълно описание

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 Gröbner 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.

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Computer algebra in coding theory and cryptanalysis

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