讲座题目：FAI and LCD codes 主讲人：唐春明 教授 主持人🧑🏻🦽：李成举 开始时间：2020-11-30 15:30:00 结束时间🚴🏼♂️：2020-11-30 16:30:00 讲座地址：腾讯会议 ID：775 532 368 主办单位：软件工程学院
报告人简介🤐： 唐春明，男，博士，西华师范大学数学与信息学院教授🔡。2012年博士毕业于北京大学。并先后在巴黎第八大学和香港科技大学从事博士后研究工作。主要研究包括密码、编码及其相关的数学理论。先后主持国家自然科学基金青年项目和面上项目各一项🛷👚。发表研究论文 60 余篇🏊🏼♂️，其中 EI、SCI 检索论文50 余篇4️⃣，代表性成果发表在国内外重要学术期刊《IEEE Transactions on Information Theory》、《Finite Fields and Their Applications 》、《Designs, Codes and Cryptography 》🫕、《Science China》和《China Communications》等上面。曾访问多所国内外知名院校；目前，担任三个国际SCI期刊的编委。 报告内容🧎🏻♀️👩🏽✈️： Nowadays, the resistance against algebraic attacks and fast algebraic attacks are considered as an important cryptographic property for Boolean functions used in stream ciphers. Both attacks are very powerful analysis concepts and can be applied to symmetric cryptographic algorithms used in stream ciphers. The notion of algebraic immunity has received wide attention since it is a powerful tool to measure the resistance of a Boolean function to standard algebraic attacks. Nevertheless, an algebraic tool to handle the resistance to fast algebraic attacks is not clearly identified in the literature. In this 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, we evaluate our parameter for two secondary constructions of Boolean functions. Moreover, 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. The binary LCD codes presented in this paper have applications in armoring implementations against so-called side-channel attacks (SCA) and fault non-invasive attacks, in addition to their applications in communication and data storage systems. |
