Computer algebra in coding theory and cryptanalysis | Polynomial system solving for decoding linear codes and algebraic cryptanalysis

Stanislav Bulygin

ISBN 10: 3838109481 / ISBN 13: 9783838109480

Published by Südwestdeutscher Verlag für Hochschulschriften, 2015

About this Item

Computer algebra in coding theory and cryptanalysis | Polynomial system solving for decoding linear codes and algebraic cryptanalysis | Stanislav Bulygin | Taschenbuch | 136 S. | Deutsch | 2015 | Südwestdeutscher Verlag für Hochschulschriften | EAN 9783838109480 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.

Seller Inventory # 101491419

Bibliographic Details

• Title: Computer algebra in coding theory and cryptanalysis | Polynomial system solving for decoding linear codes and algebraic cryptanalysis
• Publisher: Südwestdeutscher Verlag für Hochschulschriften
• Publication Date: 2015
• Language: English
• ISBN 10: 3838109481
• ISBN 13: 9783838109480
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 9D millimeters 220 millimeters width by 150 millimeters height by 9 millimeters depth
• Weight: 221 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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 pai

About the Author

Dr. Stanislav Bulygin was born in Kyiv, Ukraine, in 1982. He received his Ph.D. degree from the University of Kaiserslautern, Germany, in 2009. Currently he is a scientific stuff member of the Center for Advanced Security Research Darmstadt, Germany. His scientific interests include computer algebra, coding theory, algebraic cryptology.