报告题目 (Title)：Recent advances in Planar, APN functions and permutations with boomerang uniformity 4 over finite fields with even characteristic
报告人 (Speaker)：屈龙江教授（国防科技大学）
报告时间 (Time)：2021年12月4日(周六) 10:00
报告地点 (Place)：腾讯会议号952705647
邀请人(Inviter)：丁洋
主办部门：理学院数学系
报告摘要：Planar functions, Almost perfect nonlinear (APN) functions and functions with boomerang uniformity 4 over $F_{2^n} are interesting classes of functions, which has important applications in cryptography, coding theory, combinatorics, etc. In this talk, we will recall recent advances in these functions, with emphasis on the work of our group. First, we recall known constructions of PN functions over $F_{2^n}$, and also give a complete characterization for a class of functions. Second, we give a complete characterization on a class of functions to be APN, then we recall recent constructions of new APN functions. Lastly, we give an equivalent definition of boomerang uniformity, and show new constructions of functions with boomerang uniformity 4.
