ETSI SAGE 3GPP Standard Algorithms Task Force

Total Page:16

File Type:pdf, Size:1020Kb

ETSI SAGE 3GPP Standard Algorithms Task Force 3GPP TSG SA WG3 Security — S3#15 S3-000567 12-14 September, 2000 ETSI SAGE 3GPP Task Force (99) 37 Washington D.C., USA ETSI SAGE 3GPP Standard Algorithms Task Force Public Report Security Algorithms Group of Experts (SAGE) Report on the Evaluation of 3GPP Standard Confidentiality and Integrity Algorithms VERSION – 1.1 Date: 2000-04-08 3GPP Task Force CONFIDENTIAL 2 ETSI SAGE 3GPP Standard Algorithms Task Force Reference Keywords 3GPP, security, SAGE, algorithm ETSI Secretariat Postal address F-06921 Sophia Antipolis Cedex - FRANCE Office address 650 Route des Lucioles - Sophia Antipolis Valbonne - FRANCE Tel.: +33 4 92 94 42 00 Fax: +33 4 93 65 47 16 Siret N° 348 623 562 00017 - NAF 742 C Association à but non lucratif enregistrée à la Sous-Préfecture de Grasse (06) N° 7803/88 X.400 c= fr; a=atlas; p=etsi; s=secretariat Internet [email protected] http://www.etsi.fr Copyright Notification No part may be reproduced except as authorized by written permission. The copyright and the foregoing restriction extend to reproduction in all media. © European Telecommunications Standards Institute 1999. All rights reserved. 3GPP Task Force CONFIDENTIAL 3 ETSI SAGE 3GPP Standard Algorithms Task Force Contents Intellectual Property Rights................................................................................................................................ 4 Foreword ............................................................................................................................................................ 4 1 Scope........................................................................................................................................................ 5 2 References................................................................................................................................................ 5 3 Abbreviations........................................................................................................................................... 5 4 Structure of this report ............................................................................................................................. 7 5 Background to the design and evaluation work....................................................................................... 7 6 Summary of algorithm requirements ....................................................................................................... 7 6.1 f8 – Confidentiality algorithm............................................................................................................................. 8 6.2 f9 – Integrity algorithm....................................................................................................................................... 8 6.3 Generic requirements for 3GPP cryptographic functions and algorithms........................................................... 8 7 3GPP confidentiality and integrity algorithms......................................................................................... 9 7.1 KASUMI............................................................................................................................................................. 9 7.2 Confidentiality function f8................................................................................................................................ 10 7.3 Integrity function f9.......................................................................................................................................... 11 8 Rationale for the chosen design ............................................................................................................. 11 8.1 General comments ............................................................................................................................................ 11 8.2 Design Policy of MISTY1 ................................................................................................................................ 12 8.3 Changes from MISTY1 to KASUMI................................................................................................................ 13 8.3.1 Data Encryption Part.................................................................................................................................. 13 8.3.2 Key Scheduling Part................................................................................................................................... 13 9 Algorithm evaluation ............................................................................................................................. 13 9.1 Evaluation criteria............................................................................................................................................. 13 9.1.1 Analysis of various components of KASUMI............................................................................................ 13 9.1.2 Analysis of KASUMI as a generic 64-bits block cipher ............................................................................ 14 9.1.3 Analysis of the encryption and integrity modes......................................................................................... 14 9.2 Mathematical analysis of KASUMI.................................................................................................................. 15 9.2.1 Properties of components........................................................................................................................... 15 9.2.2 Differential cryptanalysis ........................................................................................................................... 17 9.2.3 Truncated differentials ............................................................................................................................... 19 9.2.4 Linear cryptanalysis ................................................................................................................................... 20 9.2.5 Higher order differential attacks................................................................................................................. 20 9.3 Implementation attacks..................................................................................................................................... 20 9.4 Analysis of f8 and f9......................................................................................................................................... 20 9.4.1 Supporting arguments for the f8 construction............................................................................................ 20 9.4.2 On the Construction of f9........................................................................................................................... 21 9.5 Statistical evaluation......................................................................................................................................... 21 9.5.1 Criteria for statistical evaluation ................................................................................................................ 21 9.5.2 Results from statistical test......................................................................................................................... 23 9.6 Results from independent evaluation................................................................................................................ 24 9.6.1 Evaluator 1 ................................................................................................................................................. 24 9.6.2 Evaluator 2 ................................................................................................................................................. 24 9.6.3 Evaluator 3 ................................................................................................................................................. 26 9.7 Results from complexity evaluation ................................................................................................................. 27 9.8 Conclusion of evaluation .................................................................................................................................. 27 Annex A - External references......................................................................................................................... 28 3GPP Task Force CONFIDENTIAL 4 ETSI SAGE 3GPP Standard Algorithms Task Force Intellectual Property Rights ETSI has not been informed of the existence of any Intellectual Property Right (IPR) which could be, or could become essential to the present document. However, pursuant to the ETSI Interim IPR Policy, no investigation, including IPR searches, has been carried out. No guarantee can be given as to the existence of any IPRs that are, or may be, or may become, essential to the present document. Foreword This Report has been produced by ETSI SAGE Task Force for the design of the Standard 3GPP Confidentiality and Integrity Algorithms (SAGE TF 3GPP). The work described in this report was undertaken in response to a request made by 3GPP. Version 1 of this report was submitted to the 3GPP SA3 group in December 1999. In August 2000 a version 1.1 was issued. This addressed a new result on the evaluation of the f9 mode (see section 9.4.2. of this report) and also showed the correct use of the Direction bit in the f9 mode. 3GPP Task Force CONFIDENTIAL 5 ETSI SAGE 3GPP Standard Algorithms Task Force Scope This public report contains a detailed summary
Recommended publications
  • Improved Related-Key Attacks on DESX and DESX+
    Improved Related-key Attacks on DESX and DESX+ Raphael C.-W. Phan1 and Adi Shamir3 1 Laboratoire de s´ecurit´eet de cryptographie (LASEC), Ecole Polytechnique F´ed´erale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland [email protected] 2 Faculty of Mathematics & Computer Science, The Weizmann Institute of Science, Rehovot 76100, Israel [email protected] Abstract. In this paper, we present improved related-key attacks on the original DESX, and DESX+, a variant of the DESX with its pre- and post-whitening XOR operations replaced with addition modulo 264. Compared to previous results, our attack on DESX has reduced text complexity, while our best attack on DESX+ eliminates the memory requirements at the same processing complexity. Keywords: DESX, DESX+, related-key attack, fault attack. 1 Introduction Due to the DES’ small key length of 56 bits, variants of the DES under multiple encryption have been considered, including double-DES under one or two 56-bit key(s), and triple-DES under two or three 56-bit keys. Another popular variant based on the DES is the DESX [15], where the basic keylength of single DES is extended to 120 bits by wrapping this DES with two outer pre- and post-whitening keys of 64 bits each. Also, the endorsement of single DES had been officially withdrawn by NIST in the summer of 2004 [19], due to its insecurity against exhaustive search. Future use of single DES is recommended only as a component of the triple-DES. This makes it more important to study the security of variants of single DES which increase the key length to avoid this attack.
    [Show full text]
  • Integral Cryptanalysis on Full MISTY1⋆
    Integral Cryptanalysis on Full MISTY1? Yosuke Todo NTT Secure Platform Laboratories, Tokyo, Japan [email protected] Abstract. MISTY1 is a block cipher designed by Matsui in 1997. It was well evaluated and standardized by projects, such as CRYPTREC, ISO/IEC, and NESSIE. In this paper, we propose a key recovery attack on the full MISTY1, i.e., we show that 8-round MISTY1 with 5 FL layers does not have 128-bit security. Many attacks against MISTY1 have been proposed, but there is no attack against the full MISTY1. Therefore, our attack is the first cryptanalysis against the full MISTY1. We construct a new integral characteristic by using the propagation characteristic of the division property, which was proposed in 2015. We first improve the division property by optimizing a public S-box and then construct a 6-round integral characteristic on MISTY1. Finally, we recover the secret key of the full MISTY1 with 263:58 chosen plaintexts and 2121 time complexity. Moreover, if we can use 263:994 chosen plaintexts, the time complexity for our attack is reduced to 2107:9. Note that our cryptanalysis is a theoretical attack. Therefore, the practical use of MISTY1 will not be affected by our attack. Keywords: MISTY1, Integral attack, Division property 1 Introduction MISTY [Mat97] is a block cipher designed by Matsui in 1997 and is based on the theory of provable security [Nyb94,NK95] against differential attack [BS90] and linear attack [Mat93]. MISTY has a recursive structure, and the component function has a unique structure, the so-called MISTY structure [Mat96].
    [Show full text]
  • Indistinguishability Amplification
    Indistinguishability Amplification Ueli Maurer Krzysztof Pietrzak Renato Renner [email protected] [email protected] [email protected] ETH Z¨urich ENS Paris Cambridge Abstract A random system is the abstraction of the input-output behavior of any kind of discrete system, in particular cryptographic systems. Many aspects of cryptographic security analyses and proofs can be seen as the proof that a certain random system (e.g. a block cipher) is indistinguishable from an ideal system (e.g. a random permutation), for different types of distinguishers. This paper presents a new generic approach to proving upper bounds on the distinguishing ad- vantage of a combined system, assuming upper bounds of various types on the component systems. For a general type of combination operation of systems (including the combination of functions or the cascade of permutations), we prove two amplification theorems. The first is a direct-product theorem, similar in spirit to the XOR-Lemma: The distinguishing advantage (or security) of the combination of two (possibly stateful) systems is twice the product of the individual distinguishing advantages, which is optimal. The second theorem states that the combination of systems is secure against some strong class of distinguishers, assuming only that the components are secure against some weaker class of attacks. As a corollary we obtain tight bounds on the adaptive security of the cascade and parallel composition of non-adaptively (or only random-query) secure component systems. A key technical tool of the paper is to show a tight two-way correspondence, previously only known to hold in one direction, between the distinguishing advantage of two systems and the probability of provoking an appropriately defined event on one of the systems.
    [Show full text]
  • Encryption Algorithm Trade Survey
    CCSDS Historical Document This document’s Historical status indicates that it is no longer current. It has either been replaced by a newer issue or withdrawn because it was deemed obsolete. Current CCSDS publications are maintained at the following location: http://public.ccsds.org/publications/ CCSDS HISTORICAL DOCUMENT Report Concerning Space Data System Standards ENCRYPTION ALGORITHM TRADE SURVEY INFORMATIONAL REPORT CCSDS 350.2-G-1 GREEN BOOK March 2008 CCSDS HISTORICAL DOCUMENT Report Concerning Space Data System Standards ENCRYPTION ALGORITHM TRADE SURVEY INFORMATIONAL REPORT CCSDS 350.2-G-1 GREEN BOOK March 2008 CCSDS HISTORICAL DOCUMENT CCSDS REPORT CONCERNING ENCRYPTION ALGORITHM TRADE SURVEY AUTHORITY Issue: Informational Report, Issue 1 Date: March 2008 Location: Washington, DC, USA This document has been approved for publication by the Management Council of the Consultative Committee for Space Data Systems (CCSDS) and reflects the consensus of technical panel experts from CCSDS Member Agencies. The procedure for review and authorization of CCSDS Reports is detailed in the Procedures Manual for the Consultative Committee for Space Data Systems. This document is published and maintained by: CCSDS Secretariat Space Communications and Navigation Office, 7L70 Space Operations Mission Directorate NASA Headquarters Washington, DC 20546-0001, USA CCSDS 350.2-G-1 i March 2008 CCSDS HISTORICAL DOCUMENT CCSDS REPORT CONCERNING ENCRYPTION ALGORITHM TRADE SURVEY FOREWORD Through the process of normal evolution, it is expected that expansion, deletion, or modification of this document may occur. This Recommended Standard is therefore subject to CCSDS document management and change control procedures, which are defined in the Procedures Manual for the Consultative Committee for Space Data Systems.
    [Show full text]
  • On the Decorrelated Fast Cipher (DFC) and Its Theory
    On the Decorrelated Fast Cipher (DFC) and Its Theory Lars R. Knudsen and Vincent Rijmen ? Department of Informatics, University of Bergen, N-5020 Bergen Abstract. In the first part of this paper the decorrelation theory of Vaudenay is analysed. It is shown that the theory behind the propo- sed constructions does not guarantee security against state-of-the-art differential attacks. In the second part of this paper the proposed De- correlated Fast Cipher (DFC), a candidate for the Advanced Encryption Standard, is analysed. It is argued that the cipher does not obtain prova- ble security against a differential attack. Also, an attack on DFC reduced to 6 rounds is given. 1 Introduction In [6,7] a new theory for the construction of secret-key block ciphers is given. The notion of decorrelation to the order d is defined. Let C be a block cipher with block size m and C∗ be a randomly chosen permutation in the same message space. If C has a d-wise decorrelation equal to that of C∗, then an attacker who knows at most d − 1 pairs of plaintexts and ciphertexts cannot distinguish between C and C∗. So, the cipher C is “secure if we use it only d−1 times” [7]. It is further noted that a d-wise decorrelated cipher for d = 2 is secure against both a basic linear and a basic differential attack. For the latter, this basic attack is as follows. A priori, two values a and b are fixed. Pick two plaintexts of difference a and get the corresponding ciphertexts.
    [Show full text]
  • Report on the AES Candidates
    Rep ort on the AES Candidates 1 2 1 3 Olivier Baudron , Henri Gilb ert , Louis Granb oulan , Helena Handschuh , 4 1 5 1 Antoine Joux , Phong Nguyen ,Fabrice Noilhan ,David Pointcheval , 1 1 1 1 Thomas Pornin , Guillaume Poupard , Jacques Stern , and Serge Vaudenay 1 Ecole Normale Sup erieure { CNRS 2 France Telecom 3 Gemplus { ENST 4 SCSSI 5 Universit e d'Orsay { LRI Contact e-mail: [email protected] Abstract This do cument rep orts the activities of the AES working group organized at the Ecole Normale Sup erieure. Several candidates are evaluated. In particular we outline some weaknesses in the designs of some candidates. We mainly discuss selection criteria b etween the can- didates, and make case-by-case comments. We nally recommend the selection of Mars, RC6, Serp ent, ... and DFC. As the rep ort is b eing nalized, we also added some new preliminary cryptanalysis on RC6 and Crypton in the App endix which are not considered in the main b o dy of the rep ort. Designing the encryption standard of the rst twentyyears of the twenty rst century is a challenging task: we need to predict p ossible future technologies, and wehavetotake unknown future attacks in account. Following the AES pro cess initiated by NIST, we organized an op en working group at the Ecole Normale Sup erieure. This group met two hours a week to review the AES candidates. The present do cument rep orts its results. Another task of this group was to up date the DFC candidate submitted by CNRS [16, 17] and to answer questions which had b een omitted in previous 1 rep orts on DFC.
    [Show full text]
  • The SKINNY Family of Block Ciphers and Its Low-Latency Variant MANTIS (Full Version)
    The SKINNY Family of Block Ciphers and its Low-Latency Variant MANTIS (Full Version) Christof Beierle1, J´er´emy Jean2, Stefan K¨olbl3, Gregor Leander1, Amir Moradi1, Thomas Peyrin2, Yu Sasaki4, Pascal Sasdrich1, and Siang Meng Sim2 1 Horst G¨ortzInstitute for IT Security, Ruhr-Universit¨atBochum, Germany [email protected] 2 School of Physical and Mathematical Sciences Nanyang Technological University, Singapore [email protected], [email protected], [email protected] 3 DTU Compute, Technical University of Denmark, Denmark [email protected] 4 NTT Secure Platform Laboratories, Japan [email protected] Abstract. We present a new tweakable block cipher family SKINNY, whose goal is to compete with NSA recent design SIMON in terms of hardware/software perfor- mances, while proving in addition much stronger security guarantees with regards to differential/linear attacks. In particular, unlike SIMON, we are able to provide strong bounds for all versions, and not only in the single-key model, but also in the related-key or related-tweak model. SKINNY has flexible block/key/tweak sizes and can also benefit from very efficient threshold implementations for side-channel protection. Regarding performances, it outperforms all known ciphers for ASIC round-based implementations, while still reaching an extremely small area for serial implementations and a very good efficiency for software and micro-controllers im- plementations (SKINNY has the smallest total number of AND/OR/XOR gates used for encryption process). Secondly, we present MANTIS, a dedicated variant of SKINNY for low-latency imple- mentations, that constitutes a very efficient solution to the problem of designing a tweakable block cipher for memory encryption.
    [Show full text]
  • Optimization of Core Components of Block Ciphers Baptiste Lambin
    Optimization of core components of block ciphers Baptiste Lambin To cite this version: Baptiste Lambin. Optimization of core components of block ciphers. Cryptography and Security [cs.CR]. Université Rennes 1, 2019. English. NNT : 2019REN1S036. tel-02380098 HAL Id: tel-02380098 https://tel.archives-ouvertes.fr/tel-02380098 Submitted on 26 Nov 2019 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. THÈSE DE DOCTORAT DE L’UNIVERSITE DE RENNES 1 COMUE UNIVERSITE BRETAGNE LOIRE Ecole Doctorale N°601 Mathématique et Sciences et Technologies de l’Information et de la Communication Spécialité : Informatique Par Baptiste LAMBIN Optimization of Core Components of Block Ciphers Thèse présentée et soutenue à RENNES, le 22/10/2019 Unité de recherche : IRISA Rapporteurs avant soutenance : Marine Minier, Professeur, LORIA, Université de Lorraine Jacques Patarin, Professeur, PRiSM, Université de Versailles Composition du jury : Examinateurs : Marine Minier, Professeur, LORIA, Université de Lorraine Jacques Patarin, Professeur, PRiSM, Université de Versailles Jean-Louis Lanet, INRIA Rennes Virginie Lallemand, Chargée de Recherche, LORIA, CNRS Jérémy Jean, ANSSI Dir. de thèse : Pierre-Alain Fouque, IRISA, Université de Rennes 1 Co-dir. de thèse : Patrick Derbez, IRISA, Université de Rennes 1 Remerciements Je tiens à remercier en premier lieu mes directeurs de thèse, Pierre-Alain et Patrick.
    [Show full text]
  • TS 135 202 V7.0.0 (2007-06) Technical Specification
    ETSI TS 135 202 V7.0.0 (2007-06) Technical Specification Universal Mobile Telecommunications System (UMTS); Specification of the 3GPP confidentiality and integrity algorithms; Document 2: Kasumi specification (3GPP TS 35.202 version 7.0.0 Release 7) 3GPP TS 35.202 version 7.0.0 Release 7 1 ETSI TS 135 202 V7.0.0 (2007-06) Reference RTS/TSGS-0335202v700 Keywords SECURITY, UMTS ETSI 650 Route des Lucioles F-06921 Sophia Antipolis Cedex - FRANCE Tel.: +33 4 92 94 42 00 Fax: +33 4 93 65 47 16 Siret N° 348 623 562 00017 - NAF 742 C Association à but non lucratif enregistrée à la Sous-Préfecture de Grasse (06) N° 7803/88 Important notice Individual copies of the present document can be downloaded from: http://www.etsi.org The present document may be made available in more than one electronic version or in print. In any case of existing or perceived difference in contents between such versions, the reference version is the Portable Document Format (PDF). In case of dispute, the reference shall be the printing on ETSI printers of the PDF version kept on a specific network drive within ETSI Secretariat. Users of the present document should be aware that the document may be subject to revision or change of status. Information on the current status of this and other ETSI documents is available at http://portal.etsi.org/tb/status/status.asp If you find errors in the present document, please send your comment to one of the following services: http://portal.etsi.org/chaircor/ETSI_support.asp Copyright Notification No part may be reproduced except as authorized by written permission.
    [Show full text]
  • Identifying Open Research Problems in Cryptography by Surveying Cryptographic Functions and Operations 1
    International Journal of Grid and Distributed Computing Vol. 10, No. 11 (2017), pp.79-98 http://dx.doi.org/10.14257/ijgdc.2017.10.11.08 Identifying Open Research Problems in Cryptography by Surveying Cryptographic Functions and Operations 1 Rahul Saha1, G. Geetha2, Gulshan Kumar3 and Hye-Jim Kim4 1,3School of Computer Science and Engineering, Lovely Professional University, Punjab, India 2Division of Research and Development, Lovely Professional University, Punjab, India 4Business Administration Research Institute, Sungshin W. University, 2 Bomun-ro 34da gil, Seongbuk-gu, Seoul, Republic of Korea Abstract Cryptography has always been a core component of security domain. Different security services such as confidentiality, integrity, availability, authentication, non-repudiation and access control, are provided by a number of cryptographic algorithms including block ciphers, stream ciphers and hash functions. Though the algorithms are public and cryptographic strength depends on the usage of the keys, the ciphertext analysis using different functions and operations used in the algorithms can lead to the path of revealing a key completely or partially. It is hard to find any survey till date which identifies different operations and functions used in cryptography. In this paper, we have categorized our survey of cryptographic functions and operations in the algorithms in three categories: block ciphers, stream ciphers and cryptanalysis attacks which are executable in different parts of the algorithms. This survey will help the budding researchers in the society of crypto for identifying different operations and functions in cryptographic algorithms. Keywords: cryptography; block; stream; cipher; plaintext; ciphertext; functions; research problems 1. Introduction Cryptography [1] in the previous time was analogous to encryption where the main task was to convert the readable message to an unreadable format.
    [Show full text]
  • A Classical Introduction to Cryptography Exercise Book a Classical Introduction to Cryptography Exercise Book
    A CLASSICAL INTRODUCTION TO CRYPTOGRAPHY EXERCISE BOOK A CLASSICAL INTRODUCTION TO CRYPTOGRAPHY EXERCISE BOOK Thomas Baignkres EPFL, Switzerland Pascal Junod EPFL, Switzerland Yi Lu EPFL, Switzerland Jean Monnerat EPFL, Switzerland Serge Vaudenay EPFL, Switzerland - Springer Thomas Baignbres Pascal Junod EPFL - I&C - LASEC Lausanne, Switzerland Lausanne, Switzerland Yi Lu Jean Monnerat EPFL - I&C - LASEC EPFL-I&C-LASEC Lausanne, Switzerland Lausanne, Switzerland Serge Vaudenay Lausanne, Switzerland Library of Congress Cataloging-in-Publication Data A C.I.P. Catalogue record for this book is available from the Library of Congress. A CLASSICAL INTRODUCTION TO CRYPTOGRAPHY EXERCISE BOOK by Thomas Baignkres, Palcal Junod, Yi Lu, Jean Monnerat and Serge Vaudenay ISBN- 10: 0-387-27934-2 e-ISBN-10: 0-387-28835-X ISBN- 13: 978-0-387-27934-3 e-ISBN- 13: 978-0-387-28835-2 Printed on acid-free paper. O 2006 Springer Science+Business Media, Inc. All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, Inc., 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now know or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks and similar terms, even if the are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.
    [Show full text]
  • Applications of Search Techniques to Cryptanalysis and the Construction of Cipher Components. James David Mclaughlin Submitted F
    Applications of search techniques to cryptanalysis and the construction of cipher components. James David McLaughlin Submitted for the degree of Doctor of Philosophy (PhD) University of York Department of Computer Science September 2012 2 Abstract In this dissertation, we investigate the ways in which search techniques, and in particular metaheuristic search techniques, can be used in cryptology. We address the design of simple cryptographic components (Boolean functions), before moving on to more complex entities (S-boxes). The emphasis then shifts from the construction of cryptographic arte- facts to the related area of cryptanalysis, in which we first derive non-linear approximations to S-boxes more powerful than the existing linear approximations, and then exploit these in cryptanalytic attacks against the ciphers DES and Serpent. Contents 1 Introduction. 11 1.1 The Structure of this Thesis . 12 2 A brief history of cryptography and cryptanalysis. 14 3 Literature review 20 3.1 Information on various types of block cipher, and a brief description of the Data Encryption Standard. 20 3.1.1 Feistel ciphers . 21 3.1.2 Other types of block cipher . 23 3.1.3 Confusion and diffusion . 24 3.2 Linear cryptanalysis. 26 3.2.1 The attack. 27 3.3 Differential cryptanalysis. 35 3.3.1 The attack. 39 3.3.2 Variants of the differential cryptanalytic attack . 44 3.4 Stream ciphers based on linear feedback shift registers . 48 3.5 A brief introduction to metaheuristics . 52 3.5.1 Hill-climbing . 55 3.5.2 Simulated annealing . 57 3.5.3 Memetic algorithms . 58 3.5.4 Ant algorithms .
    [Show full text]