Perfect Sequence Constructions
副标题:
时间:2018-08-14 来源:KLMM
题目: Perfect Sequence Constructions
报告人: K.T.Arasu,(Wright State University, Ohio)
时间地点: 2018.09.03 15:00pm N205
摘要: Sequences and arrays with perfect autocorrelation functions find applications in Statistical design of experiments, Signal Processing, Radar and Communication Systems and as aperture functions for electromagnetic and acoustic imaging. In this talk, we give some new construction methods for these interesting combinatorial objects. Several new families of these have been constructed by the speaker (joint work with John Dillon and Kevin Player in the binary/ternary case). The construction techniques heavily rely upon the Stickelberger's congruence on Gauss sums. The inequivalence of the new sequences follows by the p-rank calculations of the associated matrices.