Cross-Correlation Properties of Cyclotomic Sequences

Rongquan FENG
Zhiming ZHENG

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E90-A    No.1    pp.281-286
Publication Date: 2007/01/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e90-a.1.281
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Coding Theory
sequence,  difference set,  cyclotomic number,  correlation function,  

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Sequences with good correlation properties are widely used in engineering applications, especially in the area of communications. Among the known sequences, cyclotomic families have the optimal autocorrelation property. In this paper, we decide the cross-correlation function of the known cyclotomic sequences completely. Moreover, to get our results, the relations between the multiplier group and the decimations of the characteristic sequence are also established for an arbitrary difference set.