New classes of balanced quaternary and almost balanced binary sequences with optimal autocorrelation value

Authors:
Xiaohu Tang;Cunsheng Ding
Affiliations:
Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, Sichuan, China;Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clearwater Bay, Kowloon, Hong Kong
Venue:
IEEE Transactions on Information Theory
Year:
2010

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Abstract

Sequences with optimal autocorrelation property are needed in certain communication systems and cryptography. In this paper, a construction of balanced quaternary sequences with period N ≡ 2(mod 4) and optimal autocorrelation value and a construction of almost balanced binary sequences with period N ≡ 0(mod 4) and optimal autocorrelation value are presented. Both constructions are a generalization of earlier ones.