Open AccessOn Quadratic Vectorial Bent Functions in Trace Forms
Author(s) -
Zhou Junchao,
Xu Yunge,
Zhang Wanshan
Publication year - 2020
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2020.08.001
Subject(s) - bent molecular geometry , quadratic equation , affine transformation , equivalence (formal languages) , mathematics , trace (psycholinguistics) , permutation (music) , quadratic function , pure mathematics , bent function , combinatorics , mathematical analysis , physics , geometry , boolean function , chemistry , linguistics , philosophy , organic chemistry , acoustics
By permutation behavior of certain linearized polynomials, the bentness of quadratic vectorial bent functions of the form F ( x ) = ∑ i = 1 k − 1Tr m n ( c i x 1 + 2 i t) +Tr m k t ( c k x 1 + 2 k t) is investigated, where n = 2 kt 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.