A new construction of bent functions based on Z-bent functions

Sugata Gangopadhyay, Anand Joshi, Gregor Leander, Rajendra Kumar Sharma

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Dobbertin has embedded the problem of construction of bent functions in a recursive framework by using a generalization of bent functions called -bent functions. Following his ideas, we generalize the construction of partial spreads bent functions to partial spreads -bent functions of arbitrary level. Furthermore, we show how these partial spreads -bent functions give rise to a new construction of (classical) bent functions. Further, we construct a bent function on 8 variables which is inequivalent to all Maiorana-McFarland as well as PS ap type bents. It is also shown that all bent functions on 6 variables, up to equivalence, can be obtained by our construction.

Original languageEnglish
JournalDesigns, Codes and Cryptography
Volume66
Issue number1-3
Pages (from-to)243-256
ISSN0925-1022
DOIs
Publication statusPublished - 2013

Keywords

  • Computer
  • Mathematics
  • Boolean functions
  • Z-bent functions
  • Fourier transform

Fingerprint Dive into the research topics of 'A new construction of bent functions based on Z-bent functions'. Together they form a unique fingerprint.

Cite this