Constructions of Binary Sequence Pairs of Length 5<i>q</i> with Optimal Three-Level Correlation

  • SHEN Xiumin
    School of Information Science and Engineering, Yanshan University
  • SONG Xiaofei
    School of Information Science and Engineering, Yanshan University
  • JIA Yanguo
    School of Information Science and Engineering, Yanshan University
  • LI Yubo
    School of Information Science and Engineering, Yanshan University

Abstract

<p>Binary sequence pairs with optimal periodic correlation have important applications in many fields of communication systems. In this letter, four new families of binary sequence pairs are presented based on the generalized cyclotomy over Z5q, where q ≠ 5 is an odd prime. All these binary sequence pairs have optimal three-level correlation values {-1, 3}.</p>

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