Publication IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer SciencesVol.E88-ANo.7pp.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 Keyword: binary sequence, zero-correlation zone, M-sequence, shift-register sequence,
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Summary: 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.