Advances in Cryptology — EUROCRYPT ’91
Volume 547 of the series Lecture Notes in Computer Science pp 186199
Analysis of Pseudo Random Sequences Generated by Cellular Automata
 Willi MeierAffiliated withHTL BruggWindisch
 , Othmar StaffelbachAffiliated withGRETAG
Abstract
The security of cellular automata for stream cipher applications is investigated. A cryptanalytic algorithm is developed for a known plaintext attack where the plaintext is assumed to be known up to the unicity distance. The algorithm is shown to be successful on small computers for key sizes up to N between 300 and 500 bits. For a cellular automaton to be secure against more powerful adversaries it is concluded that the key size N needs to be about 1000 bits.
The cryptanalytic algorithm takes advantage of an equivalent description of the cryptosystem in which the keys are not equiprobable. It is shown that key search can be reduced considerably if one is contented to succeed only with a certain success probability. This is established by an information theoretic analysis of arbitrary key sources with nonuniform probability distribution.
 Title
 Analysis of Pseudo Random Sequences Generated by Cellular Automata
 Book Title
 Advances in Cryptology — EUROCRYPT ’91
 Book Subtitle
 Workshop on the Theory and Application of Cryptographic Techniques Brighton, UK, April 8–11, 1991 Proceedings
 Pages
 pp 186199
 Copyright
 1991
 DOI
 10.1007/3540464166_17
 Print ISBN
 9783540546207
 Online ISBN
 9783540464167
 Series Title
 Lecture Notes in Computer Science
 Series Volume
 547
 Series ISSN
 03029743
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag Berlin Heidelberg
 Additional Links
 Topics
 Industry Sectors
 eBook Packages
 Editors

 Donald W. Davies ^{(3)}
 Editor Affiliations

 3. Royal Holloway and Bedford New College, Univ. of London
 Authors

 Willi Meier ^{(4)}
 Othmar Staffelbach ^{(5)}
 Author Affiliations

 4. HTL BruggWindisch, CH5200, Windisch, Switzerland
 5. GRETAG, Althardstrasse 70, CH8105, Regensdorf, Switzerland
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