On Quadratic Vectorial Bent Functions in Trace Forms

• 作 者: ZHOU Junchao XU Yunge ZHANG Wanshan
• 机 构: Faculty of Mathematics and Statistics, Hubei Key Laboratory of Applied Mathematics, Hubei University
• 出 处: 电子学报（英文）
• 发表日期: 2020年5期
• 关键词: Bent function Linearized permutation polynomial Extended affine equivalence

By permutation behavior of certain linearized polynomials,the bentness of quadratic vectorial bent functions of the form F(x) =k-1Σi=1 Trmn(cix1+2it) + Trmkt(ckx1+2kt) is investigated,where n =2kt and m | kt with k,t being positive integers.The numerical results show that there exist new quadratic vectorial bent functions obtained up to extended affine equivalence.