数学学科Seminar第2220讲 On the equivalence of several classes of quaternary sequences with optimal autocorrelation and length 2p

创建时间:  2021/11/29  龚惠英   浏览次数:   返回

报告题目 (Title):On the equivalence of several classes of quaternary sequences with optimal autocorrelation and length 2p

报告人 (Speaker):柯品惠 教授(福建师范大学)

报告时间 (Time):2021年12月2日(周四) 15:00

报告地点 (Place):腾讯会议

邀请人(Inviter):丁洋

主办部门:理学院数学系

报告摘要:Quaternary sequences with optimal auto-correlation property are preferred in applications. Recently, several classes of optimal quaternary sequences of period $2p$, which are all closely related to the cyclotomic classes of order 4 with respect to $\mathbb{Z}_p$ were introduced in the literature. However, less attention has been paid to the equivalence between these known results. In this report, we introduce the unified form of this kind of quaternary sequence to classify these known results and then conclude the unified forms of these optimal quaternary sequences. By doing this, we disclose the relationship between the optimal quaternary sequences derived from different methods in the literature. This talk is based on a joint works with P. Qiao and Y. Yang.

上一条:数学学科Seminar第2221讲 Asymmetric/symmetric error correcting codes of limited magnitude

下一条:数学学科Seminar第2219讲 Some Contructions on the Communication Efficient Secret Sharing


数学学科Seminar第2220讲 On the equivalence of several classes of quaternary sequences with optimal autocorrelation and length 2p

创建时间:  2021/11/29  龚惠英   浏览次数:   返回

报告题目 (Title):On the equivalence of several classes of quaternary sequences with optimal autocorrelation and length 2p

报告人 (Speaker):柯品惠 教授(福建师范大学)

报告时间 (Time):2021年12月2日(周四) 15:00

报告地点 (Place):腾讯会议

邀请人(Inviter):丁洋

主办部门:理学院数学系

报告摘要:Quaternary sequences with optimal auto-correlation property are preferred in applications. Recently, several classes of optimal quaternary sequences of period $2p$, which are all closely related to the cyclotomic classes of order 4 with respect to $\mathbb{Z}_p$ were introduced in the literature. However, less attention has been paid to the equivalence between these known results. In this report, we introduce the unified form of this kind of quaternary sequence to classify these known results and then conclude the unified forms of these optimal quaternary sequences. By doing this, we disclose the relationship between the optimal quaternary sequences derived from different methods in the literature. This talk is based on a joint works with P. Qiao and Y. Yang.

上一条:数学学科Seminar第2221讲 Asymmetric/symmetric error correcting codes of limited magnitude

下一条:数学学科Seminar第2219讲 Some Contructions on the Communication Efficient Secret Sharing