Open AccessA generic construction of rotation symmetric bent functions
Author(s) -
Junchao Zhou,
Nian Li,
Xiangyong Zeng,
Yan Xu
Publication year - 2021
Publication title -
advances in mathematics of communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.601
H-Index - 26
eISSN - 1930-5346
pISSN - 1930-5338
DOI - 10.3934/amc.2020092
Subject(s) - bent molecular geometry , mathematics , bent function , rotation (mathematics) , boolean function , symmetric function , class (philosophy) , quadratic equation , combinatorics , pure mathematics , discrete mathematics , geometry , computer science , chemistry , organic chemistry , artificial intelligence
Rotation symmetric bent functions are a special class of Boolean functions, and their construction is of theoretical and practical interest. In this paper, we propose a generic construction of rotation symmetric bent functions by modifying the support of a known class of quadratic rotation symmetric bent functions, which generalizes some earlier works. Moreover, many infinite classes of rotation symmetric bent functions with maximal algebraic degree can be easily obtained from our construction.