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New Perfect Gaussian Integer Sequences from Cyclic Difference Sets
Tao LIU Chengqian XU Yubo LI Kai LIU
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2017/12/01
Online ISSN: 1745-1337
Type of Manuscript: LETTER
Category: Information Theory
Gaussian integer sequence, perfect sequence, cyclic difference set, zero autocorrelation,
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In this letter, three constructions of perfect Gaussian integer sequences are constructed based on cyclic difference sets. Sufficient conditions for constructing perfect Gaussian integer sequences are given. Compared with the constructions given by Chen et al. , the proposed constructions relax the restrictions on the parameters of the cyclic difference sets, and new perfect Gaussian integer sequences will be obtained.