應77779193永利邀請，西華師範大學唐春明教授将為我院作線下學術報告。
報告題目：Boolean Functions with High (Fast) Algebraic Immunity and Their Applications in Linear Codes
報告摘要：In the talk, we propose a new parameter to measure the resistance of a Boolean function to fast algebraic attack. We also introduce the notion of fast immunity profile and show that it informs both on the resistance to standard and fast algebraic attacks. Further, a coding-theory approach to the characterization of perfect algebraic immune functions is presented. Via this characterization, infinite families of binary linear complementary dual codes (or LCD codes for short) are obtained from perfect algebraic immune functions. Moreover, two methodologies for constructing minimal binary codes from sets, Boolean functions and vectorial Boolean functions with high algebraic immunity, are proposed. More precisely, a general construction of new minimal codes using minimal codes contained in Reed-Muller codes and sets without nonzero low degree annihilators is presented. The other construction allows us to yield minimal codes from certain subcodes of Reed-Muller codes and vectorial Boolean functions with high algebraic immunity.
報告時間：2021年12月4日8:30
報告地點：教9C101
邀 請 人：杜小妮教授
屆時歡迎廣大師生參與交流！
【報告人簡介】
唐春明，男，博士，西華師範大學數學與信息學院研究員, 2021年度布爾獎（George Boole Prize）的傑出青年學者獎獲得者。博士畢業于北京大學，先後在巴黎第八大學和香港科技大學從事研究工作。主要研究包括密碼、編碼及其相關的數學理論。主持國家級和省部級項目多項，在國内外重要學術期刊如《IEEE Transactions on Information Theory》、《Finite Fields and Their Applications 》、《Designs, Codes and Cryptography 》與《Science China》等發表六十多篇論文。目前擔任編碼與通信領域國際學術期刊《Cryptography and Communications》、《Advances in Mathematics of Communications》等的編委。
