A family of quadriphase sequences of period 4(2 n - 1) with low correlation and large linear span

  • Authors:
  • Jie Li;Xiangyong Zeng;Xiaohu Tang;Chunlei Li

  • Affiliations:
  • Faculty of Mathematics and Computer Science, Hubei University, Wuhan, China 430062;Faculty of Mathematics and Computer Science, Hubei University, Wuhan, China 430062;Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China 610031;Department of Informatics, University of Bergen, Bergen, Norway 5020

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2013

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Abstract

In this paper, a new family of quadriphase sequences with period 4(2 n - 1) is proposed for n = me, where m is an odd integer. The correlation values of the family, their distribution, and the linear spans of the proposed sequences are completely determined under two situations.