Properties and Crosscorrelation of Decimated Sidelnikov Sequences

Young-Tae KIM; Min Kyu SONG; Dae San KIM; Hong-Yeop SONG

doi:10.1587/transfun.E97.A.2562

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

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

Special Section on Signal Design and Its Applications in Communications

Properties and Crosscorrelation of Decimated Sidelnikov Sequences

Young-Tae KIM, Min Kyu SONG, Dae San KIM, Hong-Yeop SONG

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Keywords: Sidelnikov sequences, d-decimation sequences, constant-multiple sequences, correlation bound, Weil bound

JOURNAL RESTRICTED ACCESS

2014 Volume E97.A Issue 12 Pages 2562-2566

DOI https://doi.org/10.1587/transfun.E97.A.2562

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Abstract

In this paper, we show that if the d-decimation of a (q-1)-ary Sidelnikov sequence of period q-1=p^m-1 is the d-multiple of the same Sidelnikov sequence, then d must be a power of a prime p. Also, we calculate the crosscorrelation magnitude between some constant multiples of d- and d'-decimations of a Sidelnikov sequence of period q-1 to be upper bounded by (d+d'-1)√q+3.

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