报告名称:Sequences shared by de Bruijn sequences
主办单位:英国立博官网中文版
报告专家:姜宇鹏
专家所在单位:中国科学院信工所
报告时间:2020年6月18日15:00
报告地点:腾讯会议(会议ID:869 777 537)
专家简介:姜宇鹏,博士,中科院信工所副研究员。研究兴趣包括数论、序列密码理论,目前主要研究非线性反馈移位寄存器序列。在《IEEE Transactions on Information Theory》、《Designs、Codes and Cryptography》等期刊发表论文10余篇,主持博士后基金,自然科学基金青年基金各一项。
报告摘要:We consider the longest subsequences shared by two de Bruijn sequences. First, we fix one de Bruijn sequence and prove that de Bruijn sequences sharing a longest subsequence with it must be those obtained by a single cross-join operation from it. Then determining such sequences is equivalent to finding cross-join pairs with maximum diameter. Second, we prove that for n≥5, there exist two de Bruijn sequences of order n sharing a subsequence of length 2^n−2.
邀请人:孙志敏