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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

Abstract

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

Keywords

Cryptographystream cipherFCSRjoint 2-adic complexityusual Fourier transform

Information

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 46 , Issue 3 , July 2012, pp. 401 - 412
Copyright
© EDP Sciences 2012

References

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