On Generalized Cyclotomic Sequence of Order d and Period pq

Zheng YANG; Pinhui KE

doi:10.1587/transfun.E94.A.443

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Regular Section

On Generalized Cyclotomic Sequence of Order d and Period pq

Zheng YANG, Pinhui KE

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Keywords: auto-correlation function, multiplicative character, linear complexity, generalized cyclotomy sequence

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2011 Volume E94.A Issue 1 Pages 443-447

DOI https://doi.org/10.1587/transfun.E94.A.443

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Abstract

In this letter, we generalize the binary sequence introduced by Li et al. in [S. Q. Li et al., On the randomness generalized cyclotomic sequences of order two and length pq, IEICE Trans. Fund, vol. E90-A, no.9, pp.2037-2041, 2007] to sequence over arbitrary prime fields. Furthermore, the auto-correlation distribution and linear complexity of the proposed sequence are presented.

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