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On the joint 2-adic complexity of binary multisequences∗

Published online by Cambridge University Press:  06 April 2012

Lu Zhao  and
Qiao-Yan Wen
Lu Zhao
Affiliation:
State Key Laboratory of Networking and Switching Technology, P.O. Box 305, Beijing University of Posts and Telecommunications, Beijing 100876, P.R. China. zhaolu.nan@gmail.com
Qiao-Yan Wen
Affiliation:
State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, P.R. China
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Abstract

Joint 2-adic complexity is a new important index of the cryptographic security for multisequences. In this paper, we extend the usual Fourier transform to the case of multisequences and derive an upper bound for the joint 2-adic complexity. Furthermore, for the multisequences with pn-period, we discuss the relation between sequences and their Fourier coefficients. Based on the relation, we determine a lower bound for the number of multisequences with given joint 2-adic complexity.

Keywords

Cryptographystream cipherFCSRjoint 2-adic complexityusual Fourier transform
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 46 , Issue 3 , July 2012 , pp. 401 - 412
Copyright
© EDP Sciences 2012

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References

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