Algebraic Aspects of the Advanced Encryption Standard

By: Carlos Cid, Sean Murphy, Matthew Robshaw

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Hardcover | 1 June 2006

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164 Pages

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23.4 x 15.6 x 1.12

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It is now more than five years since the Belgian block cipher Rijndael was chosen as the Advanced Encryption Standard {AES). Joan Daemen and Vincent Rijmcn used algebraic techniques to provide an unparalleled level of assurance against many standard statistical cryptanalytic tech niques. The cipher is a fitting tribute to their distinctive approach to cipher design. Since the publication of the AES, however, the very same algebraic structures have been the subject of increasing cryptanalytic attention and this monograph has been written to summarise current research. We hope that this work will be of interest to both cryptogra phers and algebraists and will stimulate future research. During the writing of this monograph we have found reasons to thank many people. We are especially grateful to the British Engineering and Physical Sciences Research Council (EPSRC) for their funding of the research project Security Analysis of the Advanced Encryption System (Grant GR/S42637), and to Susan Lagerstrom-Fifc and Sharon Palleschi at Springer. Wo would also hke to thank Glaus Diem, Maura Paterson, and Ludovic Perret for their valuable comments. Finally, the support of our families at home and our colleagues at work has been invaluable and particularly appreciated.

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Non-Fiction Reference, Information & Interdisciplinary Subjects Research & Information Coding Theory & Cryptology Mathematics Algebra Geometry Algebraic Geometry Computing & I.T.Computer Security Data Encryption Databases

Data Capture & Analysis Information theory Computer Programming & Software Development Algorithms & Data Structures Computer Science Mathematical Theory of Computation Applied Mathematics

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Paperback

Published: 29th October 2010

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Introduction to the AES	p. 1
Mathematical background	p. 5
Description of the AES	p. 35
Algebraic properties of the AES	p. 47
Equation systems for the AES	p. 71
Analysis of AES equation systems	p. 87
Closing remarks	p. 117
Inversion equations over GF(2)	p. 119
Augmented linear diffusion matrices	p. 121
Equation system for SR(2,2,2,4) over GF (2[superscript 4])	p. 127
Table of Contents provided by Blackwell. All Rights Reserved.

Algebraic Aspects of the Advanced Encryption Standard

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Hardcover

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