On the higher-order nonlinearity of a Boolean bent function class (constructed via Niho power functions)
type: Item
instance of: scholarly article
title: On the higher-order nonlinearity of a Boolean bent function class (constructed via Niho power functions)
zbMATH Open document ID: 1501.94124
author: Kezia Saini
author: Manish Garg
published in: Cryptography and Communications
publication date: 2022-10-06T00:00:00Z
Mathematics Subject Classification ID: 94D10
Mathematics Subject Classification ID: 94A60
Mathematics Subject Classification ID: 94C11
zbMATH DE Number: 7596970
zbMATH Keywords: Boolean function
zbMATH Keywords: higher-order nonlinearity
zbMATH Keywords: Walsh-spectrum
zbMATH Keywords: higher-order derivative
zbMATH Keywords: Niho power functions
MaRDI profile type: Publication
Wikidata QID: Q114849134
full work available at URL: s12095-022-00574-7
OpenAlex ID: W4226189351
cites work: A new class of monomial bent functions
cites work: Q3081626
cites work: Recursive Lower Bounds on the Nonlinearity Profile of Boolean Functions and Their Applications
cites work: Q3081625
cites work: Improving the Upper Bounds on the Covering Radii of Binary Reed–Muller Codes
cites work: Boolean Functions for Cryptography and Coding Theory
cites work: Q4342497
cites work: Construction of bent functions via Niho power functions
cites work: An improved list decoding algorithm for the second order Reed-Muller codes and its applications
cites work: On the lower bounds of the second order nonlinearities of some Boolean functions
cites work: Q3225709
cites work: Higher-order nonlinearity of Kasami functions
cites work: Third-order nonlinearities of a subclass of Kasami functions
cites work: Q4502486
cites work: List decoding of the first-order binary Reed-Muller codes
cites work: Q4146667
cites work: On ``bent'' functions
cites work: On third-order nonlinearity of biquadratic monomial Boolean functions
cites work: The lower bounds on the second order nonlinearity of three classes of Boolean functions with high nonlinearity
cites work: The lower bound on the second-order nonlinearity of a class of Boolean functions with high nonlinearity
cites work: A new lower bound on the second-order nonlinearity of a class of monomial bent functions
cites work: A Note on Fast Algebraic Attacks and Higher Order Nonlinearities
DOI: 10.1007/S12095-022-00574-7
description: scientific article; zbMATH DE number 7596970