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usual fourier transform

RAIRO - Theoretical Informatics and Applications (1)

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On the joint 2-adic complexity of binary multisequences ∗
Lu Zhao, Qiao-Yan Wen
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 46 / Issue 3 / July 2012

Published online by Cambridge University Press:

06 April 2012, pp. 401-412

Print publication:

July 2012
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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.