报告内容：Two main secondary constructions of bent functions are the direct and indirect sum methods. We show that the direct sum, under more relaxed conditions compared to those of Polujan and Pott (2020), can generate bent functions provably outside the completed Maiorana-McFarland class (MM#). We also show that the indirect sum method of generating bent functions, by imposing certain conditions (which are completely absent if only the bentness of the resulting function is required) on the initial bent functions, can beemployed in the design of bent functions outside MM#. Furthermore, applying this method to suitably chosen bent functions we construct several generic classes of homogeneous cubic bent functions (considered as a difficult problem) that might possess additional properties (namely without affine derivatives and/or outside MM#). Our results significantly improve upon the best known instances of this type of bent functions given by Polujan and Pott (2020), and additionally we provide a solution to an open problem presented in their paper.
邀请人：李彦君
时 间：2025年3月11日（周二）19:30-22:30
地 点：腾讯会议（516-738-703）
主 办：统计与应用数学学院、科研处
报告人简介：张凤荣，西安电子科技大学教授，博士生导师。近年来主要从事密码函数、对称密码和量子计算等方面的研究工作，目前已在TIT、DCC、中国科学等国内外著名学术期刊和国际会议上发表论文50余篇。获得省自然科学奖二等奖1项。主持国家自然科学基金面上项目、青年基金、中国博士后基金特别资助项目等各类项目10余项。获得了华为“火花奖”。
会议链接:https://meeting.tencent.com/dm/RhvazROa4XwE