Journal of Guangxi Normal University(Natural Science Edition) ›› 2023, Vol. 41 ›› Issue (1): 1-16.doi: 10.16088/j.issn.1001-6600.2022071801

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Research Progress of Complementary Sequences

ZHOU Zhengchun   

  1. School of Information Science and Technology, Southwest Jiaotong University, Chengdu Sichuan 611756, China
  • Received:2022-07-18 Revised:2022-08-15 Online:2023-01-25 Published:2023-03-07

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Abstract: Due to their perfect correlation properties, complementary sequences (also called complementary codes) have been widely used in communication, radar, information security and other fields. In addition, there are deep connections between complementary sequences and mathematical structures such as Hadamard matrices, Reed-Muller codes, difference families, and generalized Boolean functions. In view of its important theoretical significance and application value, complementary sequences have been a hot research topic in the field of sequence coding, and a large number of research results have been reported. The objective of this paper is to give a well-rounded treatment of complementary sequences, focusing on the construction methods and parameters of complementary sequences, mutually orthogonal complementary sequences, and Z-complementary sequences.

Key words: complementary codes, sequence design, communication systems, radar systems, Z-complementary codes

CLC Number: 

  • TN921
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