Binary Zero-Correlation Zone Sequence Set Construction Using a Primitive Linear Recursion

Takafumi HAYASHI  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E88-A   No.7   pp.2034-2038
Publication Date: 2005/07/01
Online ISSN: 
DOI: 10.1093/ietfec/e88-a.7.2034
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Coding Theory
binary sequence,  zero-correlation zone,  M-sequence,  shift-register sequence,  

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The present paper introduces a new construction of a class of binary sequence set having a zero-correlation zone (hereafter binary zcz sequence set). The cross-correlation function and the side-lobe of the auto-correlation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. The present paper shows that such a construction generates a binary zcz sequence set by using a primitive linear recursion over GF(2), the finite field of integers modulo 2.