Computer algebra in coding theory and cryptanalysis: Polynomial system solving for decoding linear codes and algebraic cryptanalysis - Brossura
Sinossi
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
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Informazioni sull?autore
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.
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Computer algebra in coding theory and cryptanalysis
ISBN 10: 3838109481
ISBN 13: 9783838109480
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 136 pp. Deutsch. Codice articolo 9783838109480
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Computer algebra in coding theory and cryptanalysis
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Südwestdeutscher Verlag für Hochschulschriften, 2015
ISBN 10: 3838109481
ISBN 13: 9783838109480
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 fin. Codice articolo 5405332
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Computer algebra in coding theory and cryptanalysis
Editore:
Südwestdeutscher Verlag Für Hochschulschriften Jul 2009, 2009
ISBN 10: 3838109481
ISBN 13: 9783838109480
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Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 136 pp. Deutsch. Codice articolo 9783838109480
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Computer algebra in coding theory and cryptanalysis : Polynomial system solving for decoding linear codes and algebraic cryptanalysis
Editore:
Südwestdeutscher Verlag Für Hochschulschriften AG Co. KG, 2009
ISBN 10: 3838109481
ISBN 13: 9783838109480
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Codice articolo 9783838109480
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Computer algebra in coding theory and cryptanalysis | Polynomial system solving for decoding linear codes and algebraic cryptanalysis
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Südwestdeutscher Verlag für Hochschulschriften, 2009
ISBN 10: 3838109481
ISBN 13: 9783838109480
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Taschenbuch. Condizione: Neu. Computer algebra in coding theory and cryptanalysis | Polynomial system solving for decoding linear codes and algebraic cryptanalysis | Stanislav Bulygin | Taschenbuch | 136 S. | Deutsch | 2009 | 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. Codice articolo 101491419
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