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Cryptography 2017, 1(1), 7; doi:10.3390/cryptography1010007

Maximum-Order Complexity and Correlation Measures

1
Department of Mathematics, Salzburg University, Hellbrunner Str. 34, 5020 Salzburg, Austria
2
Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstr. 69, 4040 Linz, Austria
*
Author to whom correspondence should be addressed.
Academic Editor: Kwangjo Kim
Received: 29 March 2017 / Revised: 9 May 2017 / Accepted: 10 May 2017 / Published: 13 May 2017
View Full-Text   |   Download PDF [219 KB, uploaded 13 May 2017]

Abstract

We estimate the maximum-order complexity of a binary sequence in terms of its correlation measures. Roughly speaking, we show that any sequence with small correlation measure up to a sufficiently large order k cannot have very small maximum-order complexity. View Full-Text
Keywords: maximum-order complexity; correlation measure of order k; measures of pseudorandomness; cryptography maximum-order complexity; correlation measure of order k; measures of pseudorandomness; cryptography
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Işık, L.; Winterhof, A. Maximum-Order Complexity and Correlation Measures. Cryptography 2017, 1, 7.

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