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题目：Three new constructions of asymptotically optimal PQCSS with small alphabet sizes

报告人：曹喜望 教授 （南京航空航天大学）

时间：2021年6月23日下午15:00-16:00

地点：腾讯会议

          会议 ID：627 358 837

Abstract: Quasi-complementary sequence sets (QCSSs) play an important role in multi-carrier code-division multiple-access (MC-CDMA) systems. They can support more users than perfect complementary sequence sets in MC-CDMA systems. It is desirable to design QCSSs with good parameters that are a trade-off of large set size, small periodic maximum magnitude correlation and small alphabet size. The main results are to construct new infinite families of QCSSs that all have small alphabet size and asymptotically optimal periodic maximum magnitude correlation. In this paper, we propose three new constructions of QCSSs using additive characters over finite fields. Notably, these QCSSs have new parameters and small alphabet sizes. Using the properties of characters and character sums, we determine their maximum periodic correlation magnitudes and prove that these QCSSs are asymptotically optimal with respect to the lower bound. This is a joint work with Gaojun Luo, Minjia Shi and Tor Helleseth.

联系人：张俊

举办单位：首都师范大学77779193永利官网、交叉科学研究院

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