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
Pages (from-to)507-523
Number of pages17
JournalApplicable Algebra in Engineering, Communications and Computing
Volume35
Issue number4
DOIs
Publication statusPublished - Jul 2024

Keywords

  • 51E15
  • 51E20
  • 94A60
  • Bent functions
  • Duals of bent functions
  • Quadratic bent functions

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Quadratic bent functions and their duals'. Together they form a unique fingerprint.

Cite this