On the higher-order nonlinearity of a Boolean bent function class (constructed via Niho power functions)

DOI10.1007/s12095-022-00574-7zbMath1501.94124OpenAlexW4226189351WikidataQ114849134 ScholiaQ114849134MaRDI QIDQ2088953

Manish Garg, Kezia Saini

Publication date: 6 October 2022

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-022-00574-7

zbMATH Keywords

Boolean functionhigher-order derivativehigher-order nonlinearityNiho power functionsWalsh-spectrum

Mathematics Subject Classification ID

Cryptography (94A60) Switching theory, applications of Boolean algebras to circuits and networks (94C11) Boolean functions (94D10)

Related Items (2)

A lower bound on the third-order nonlinearity of the simplest \(\mathcal{PS}_{a p}\) bent functions ⋮ Monomial Boolean functions with large high-order nonlinearities

Cites Work

• On third-order nonlinearity of biquadratic monomial Boolean functions
• The lower bound on the second-order nonlinearity of a class of Boolean functions with high nonlinearity
• On the lower bounds of the second order nonlinearities of some Boolean functions
• List decoding of the first-order binary Reed-Muller codes
• The lower bounds on the second order nonlinearity of three classes of Boolean functions with high nonlinearity
• An improved list decoding algorithm for the second order Reed-Muller codes and its applications
• On ``bent functions
• A new lower bound on the second-order nonlinearity of a class of monomial bent functions
• Third-order nonlinearities of a subclass of Kasami functions
• A new class of monomial bent functions
• Construction of bent functions via Niho power functions
• A Note on Fast Algebraic Attacks and Higher Order Nonlinearities
• Improving the Upper Bounds on the Covering Radii of Binary Reed–Muller Codes
• Recursive Lower Bounds on the Nonlinearity Profile of Boolean Functions and Their Applications
• Higher-order nonlinearity of Kasami functions
• Boolean Functions for Cryptography and Coding Theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the higher-order nonlinearity of a Boolean bent function class (constructed via Niho power functions)