Work

Further results on a family of bent functions from permutations

Year: 2026

Type: article

Abstract: In 1997, Hou and Langevin introduced the idea of constructing bent functions as the composition of a Boolean function with a permutation. Recently, K. Li, C. Li, T. Helleseth, and L. Qu constructed several classes of bent functions from quadratic permutations and permutations with Niho exponents. In this paper, we further investigate one of these classes of bent functions, establishing more general sufficient conditions and discussing their relationship with the class of Maiorana–McFarland bent functions.

Source: Designs Codes and Cryptography

DOI: 10.1007/s10623-026-01815-z

Authors: Daniele Bartoli, Marco Timpanella

Institution: University of Perugia

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Università degli Studi di Perugia