Encyclopedia of Cryptography and Security
pp 516517
Golomb’s Randomness Postulates
 Tor HellesethAffiliated withThe Selmer Center, Department of Informatics, University of Bergen
Related Concepts
Autocorrelation; Gap; MaximalLength Linear Sequences; PseudoNoise Sequences (PNSequences); Run; Sequences
Definition
Golomb’s randomness postulates are three properties that one expects to find in random sequences.
Theory and Applications
No finite sequence constructed by a linear feedback shift register is a truly random sequence. Golomb [1] introduced the notion of a pseudorandom sequence for a periodic binary sequence that satisfies three randomness postulates. These postulates reflect the properties one would expect to find in a random sequence.
A run in a binary sequence is a set of consecutive 0s or 1s. A run of0s is denoted a gap and a run of 1s is denoted a block. A gap of length k is a set of k consecutive 0s flanked by 1s. A block of length k is a set of k consecutive 1s flanked by 0s. A run of length k is is a gap of length k or a block of length k. In this terminology, the three randomness postulates of a perio ...
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 Title
 Golomb’s Randomness Postulates
 Reference Work Title
 Encyclopedia of Cryptography and Security
 Pages
 pp 516517
 Copyright
 2011
 DOI
 10.1007/9781441959065_351
 Print ISBN
 9781441959058
 Online ISBN
 9781441959065
 Publisher
 Springer US
 Copyright Holder
 Springer Science+Business Media, LLC
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 Editors

 Henk C. A. van Tilborg ^{(376)}
 Sushil Jajodia ^{(377)}
 Editor Affiliations

 376. Department of Mathematics and Computing Science, Eindhoven University of Technology
 377. Center for Secure Information Systems, George Mason University
 Authors

 Tor Helleseth ^{(1)}
 Author Affiliations

 1. The Selmer Center, Department of Informatics, University of Bergen, PB 7803, N5020, Bergen, Norway
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