Constructions of binary array set with zero-correlation zone

Authors:
Pinhui Ke;Shengyuan Zhang;Fuchun Lin
Affiliations:
Key Laboratory of Network Security and Cryptology, Fujian Normal University, Fuzhou 350007, PR China;Key Laboratory of Network Security and Cryptology, Fujian Normal University, Fuzhou 350007, PR China;Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
Venue:
Information Sciences: an International Journal
Year:
2012

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Abstract

Based on the perfect binary array and the orthogonal matrix, a new method of constructing zero-correlation zone binary array set is proposed, yielding binary array sets with member sizes almost achieve the theoretical upper bound. A recursive construction of zero-correlation zone binary array set is also proposed and the obtained array sets have even larger sizes as well as additional good correlation properties.