New Perfect Gaussian Integer Sequences from Cyclic Difference Sets

Liu Tao, XU Cheng-qian, Yubo Li, Kai Liu · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2017

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. [12], the proposed constructions relax the restrictions on the parameters of the cyclic difference sets, and new perfect Gaussian integer sequences will be obtained.

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