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Perfect Gaussian Integer Sequence Pairs from Cyclic Difference Set Pairs
Hongbin LIN Xiuping PENG Chao FENG Qisheng TONG Kai LIU
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2018/05/01
Online ISSN: 1745-1337
Type of Manuscript: LETTER
Category: Digital Signal Processing
correlation, perfect sequence, Gaussian integer sequence pair, cyclic difference set pair,
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The concept of Gaussian integer sequence pair is generalized from a single Gaussian integer sequence. In this letter, by adopting cyclic difference set pairs, a new construction method for perfect Gaussian integer sequence pairs is presented. Furthermore, the necessary and sufficient conditions for constructing perfect Gaussian integer sequence pairs are given. Through the research in this paper, a large number of perfect Gaussian integer sequence pairs can be obtained, which can greatly extend the existence of perfect sequence pairs.