报告时间:2025年6月26日(星期四)15:00-16:00
报告地点:翡翠湖校区科教楼B1710室
报 告 人:曾祥勇 教授
工作单位:湖北大学
举办单位:数学学院
报告简介:
Frequency-hopping sequences (FHSs) with low Hamming correlation and wide gaps significantly contribute to the anti-interference performance in FH communication systems. In this talk, we start with the discussion of the upper bounds on the minimum gaps of uniform FHSs and then propose a general construction of optimal uniform wide-gap FHSs with length 2l and 3l. Furthermore, we present a recursive construction of FHSs with length 2l, which concatenate shorter sequences of known minimum gaps. It is shown that the resulting FHSs have the same Hamming correlation as the concatenation-ordering sequences. As applications, several known optimal FHSs are used to produce optimal FHSs with controlled minimum gaps.
报告人简介:
曾祥勇,湖北大学二级教授,博士生导师。获国务院政府特殊津贴、全国密码算法设计竞赛(分组密码)三等奖、湖北省高等学校教学成果一等奖、湖北省自然科学奖一等奖和二等奖。主要研究领域为代数学、密码学和编码学,先后主持国家自然科学基金项目和国家重点研发计划课题10余项。