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Cascaded Construction of Semi-Bent and Bent Functions
Authors:WANG Jian-peng  WU Xiao-xiong  YU Xin-hua
Affiliation:1. School of Mathematics,Southwest Jiaotong University,Chengdu 610031,China
2. Office of Admission and Career,Southwest Jiaotong University,Chengdu 610031,China
3. No.30 Research Institute of China Electronics,Chengdu 610041,China
Abstract:Based on the theory of quadratic forms over finite fields,a new construction of semi-bent and bent functions is presented.The proposed construction has a cascaded characteristic.Some previously known constructions of semi-bent and bent functions are special cases of the new construction.
Keywords:Bent function  Semi-bent function  Quadratic form
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