Quadratic bent functions and their duals

Kanat Abdukhalikov, Rongquan Feng, Duy Ho

Research output: Contribution to journalArticlepeer-review

Abstract

We obtain geometric characterizations of the dual functions for quadratic bent and vectorial bent functions in terms of quadrics. Additionally, using the zeros of the polynomial Xq+1+ X+ a which have been studied recently in the literature, we provide some examples of binomial quadratic bent functions on Fq4 and Fq6, where q is a power of 2.

Original languageEnglish
JournalApplicable Algebra in Engineering, Communications and Computing
DOIs
Publication statusAccepted/In press - 2022

Keywords

  • Bent functions
  • Duals of bent functions
  • Quadratic bent functions

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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