Feistel Ciphers Security Proofs and Cryptanalysis
This book provides a comprehensive survey of different kinds of Feistel ciphers, including their definition and mathematical/computational properties. Feistel Networks form the base design of the Data Encryption Standard algorithm, a former
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eistel Ciphers
Security Proofs and Cryptanalysis
Feistel Ciphers
Valerie Nachef • Jacques Patarin • Emmanuel Volte
Feistel Ciphers Security Proofs and Cryptanalysis
123
Valerie Nachef Mathematics/UMR CNRS 8088 University of Cergy-Pontoise Cergy-Pontoise, Val-d’Oise, France
Jacques Patarin Laboratoire de Mathématiques de Versailles, UVSQ/UMR CNRS 8100 University Paris-Saclay Versailles, Yvelines, France
Emmanuel Volte Mathematics/UMR CNRS 8088 University of Cergy-Pontoise Cergy-Pontoise, Val-d’Oise, France
ISBN 978-3-319-49528-6 ISBN 978-3-319-49530-9 (eBook) DOI 10.1007/978-3-319-49530-9 Library of Congress Control Number: 2016961295 © Springer International Publishing AG 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Feistel ciphers take an important part in secret key cryptography from both theoretical and practical point of view. After DES, Feistel ciphers used in the Industry had a dynamic revival. First of all, new schemes have been published, like GOST in Russia, RC-6 and SIMON in the United States. On the other hand, new needs appeared, beyond resistance against classical cryptography attacks, like resistance to physical attacks, or obfuscation. With Feistel ciphers, it is very easy to generate permutations from various round functions. This allowed to construct many proprietary algorithms (hence secret algorihtms) for specific needs and used by the Industry. This is why we considerd that is was needed to have an up to date comprehensive survey on different kinds of Feistel ciphers, including attacks and security results. From a theoretical point of view, it is from these ciphers that Luby and Rackoff proved i
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