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

Authors:
Takafumi Hayashi
Affiliations:
The author is with the Faculty of Computer Science and Engineering, University of Aizu, Aizu-wakamatsu-shi, 965-8580 Japan. E-mail: takafumi@u-aizu.ac.jp
Venue:
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Year:
2005

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Abstract

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.