Bent Vectorial Functions, Codes and Designs

Cunsheng Ding, Akihiro Munemasa, Vladimir D. Tonchev

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

Bent functions, or equivalently, Hadamard difference sets in the elementary Abelian group ( ${\mathrm {GF}}(2^{2m}), $ +), have been employed to construct symmetric and quasi-symmetric designs having the symmetric difference property. The main objective of this paper is to use bent vectorial functions for a construction of a two-parameter family of binary linear codes that do not satisfy the conditions of the Assmus-Mattson theorem, but nevertheless hold 2-designs. A new coding-theoretic characterization of bent vectorial functions is presented.

Original languageEnglish
Article number8736398
Pages (from-to)7533-7541
Number of pages9
JournalIEEE Transactions on Information Theory
Volume65
Issue number11
DOIs
Publication statusPublished - 2019 Nov

Keywords

  • 2-design
  • Bent function
  • bent vectorial function
  • linear code

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

Fingerprint Dive into the research topics of 'Bent Vectorial Functions, Codes and Designs'. Together they form a unique fingerprint.

Cite this