Several Classes of Quadratic Ternary Bent, Near-Bent and 2-Plateaued Functions

DOI10.1142/S0129054117500010zbMath1373.94956OpenAlexW2603264026MaRDI QIDQ2979670

Shanding Xu, Guangkui Xu, Xiwang Cao

Publication date: 26 April 2017

Published in: International Journal of Foundations of Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129054117500010

zbMATH Keywords

Walsh transformbent functionnear-bent function2-plateaued function

Mathematics Subject Classification ID

Related Items (5)

Several classes of new weakly regular bent functions outside \(\mathcal{RF}\), their duals and some related (minimal) codes with few weights ⋮ New classes of bent functions via the switching method ⋮ Several classes of bent functions over finite fields ⋮ More constructions of 3-weight linear codes ⋮ Several infinite families of \(p\)-ary weakly regular bent functions

Cites Work

• Constructing new APN functions and bent functions over finite fields of odd characteristic via the switching method
• On Dillon's class \(H\) of bent functions, Niho bent functions and o-polynomials
• A construction of weakly and non-weakly regular bent functions
• Four decades of research on bent functions
• Generalized bent functions and their properties
• On ``bent functions
• A new class of bent and hyper-bent Boolean functions in polynomial forms
• On a class of binomial bent functions over the finite fields of odd characteristic
• Linearized polynomials over finite fields revisited
• Generalized Maiorana-McFarland class and normality of \(p\)-ary bent functions
• Constructions of \(p\)-ary quadratic bent functions
• A new characterization of semi-bent and bent functions on finite fields
• Two Boolean Functions with Five-Valued Walsh Spectra and High Nonlinearity
• Several New Infinite Families of Bent Functions and Their Duals
• Several New Classes of Bent Functions From Dillon Exponents
• A Class of Binomial Bent Functions Over the Finite Fields of Odd Characteristic
• The compositional inverse of a class of permutation polynomials over a finite field
• On Bent and Semi-Bent Quadratic Boolean Functions
• Monomial and quadratic bent functions over the finite fields of odd characteristic
• Nonbinary Kasami sequences over GF(p)
• New Binomial Bent Functions Over the Finite Fields of Odd Characteristic

This page was built for publication: Several Classes of Quadratic Ternary Bent, Near-Bent and 2-Plateaued Functions