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Periodic and aperiodic correlation of sequences

发布时间:2022-11-15 作者: 浏览次数:
Speaker: 王子龙 DateTime: 2022年11月17日(周四)上午8:30-9:10
Brief Introduction to Speaker:

王子龙教授,西安电子科技大学

Place: 腾讯会议: 449701991
Abstract:Constructions of sequences with desired periodic and aperiodic correlation of sequences are two completely separate fields in the literature for more than seven decades. In this talk, we first investigate the paraunitary-matrix-based method to construct (aperiodic) complementary sequence sets and complete complementary codes by Butson-type Hadamard matrices. Then we discover an extremely fascinating hidden connection between the sequences in (aperiodic) complementary sequence sets and complete complementary codes and the sequences with (periodic) ideal 2-level autocorrelation, through the trace function and permutation polynomials over finite fields.