Autocorrelation Values of Generalized Cyclotomic Sequences of Order Six

Regular Section

College of Science, China University of Petroleum">Chun-e ZHAO, Wenping MA, Tongjiang YAN, Yuhua SUN

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Keywords: cyclotomic sequences, autocorrelation, linear complexity

JOURNAL RESTRICTED ACCESS

2013 Volume E96.A Issue 10 Pages 2045-2048

DOI https://doi.org/10.1587/transfun.E96.A.2045

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Abstract

Binary sequences with low autocorrelation have important applications in communication systems and cryptography. In this paper, the autocorrelation values of binary Whiteman generalized cyclotomic sequences of order six and period pq are discussed. Our result shows that the autocorrelation of these sequences is four-valued and that the corresponding values are in {-1,3,-5,pq} if the parameters are chosen carefully.

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