Further constructions of infinite families of bent functions from new permutations and their duals
From MaRDI portal
Publication:269566
DOI10.1007/S12095-015-0144-7zbMath1338.94119OpenAlexW2183904723MaRDI QIDQ269566
Publication date: 19 April 2016
Published in: Cryptography and Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12095-015-0144-7
Related Items (12)
More permutations and involutions for constructing bent functions ⋮ On Existence (Based on an Arithmetical Problem) and Constructions of Bent Functions ⋮ Bent and Semi-bent Functions via Linear Translators ⋮ Vectorial bent functions weakly/strongly outside the completed Maiorana-McFarland class ⋮ Several new classes of self-dual bent functions derived from involutions ⋮ Frobenius linear translators giving rise to new infinite classes of permutations and bent functions ⋮ Further analysis of bent functions from \(\mathcal{C}\) and \(\mathcal{D}\) which are provably outside or inside \(\mathcal{M}^{\#} \) ⋮ Four decades of research on bent functions ⋮ A further study on the construction methods of bent functions and self-dual bent functions based on Rothaus's bent function ⋮ A general framework for secondary constructions of bent and plateaued functions ⋮ New Bent Functions from Permutations and Linear Translators ⋮ Two secondary constructions of bent functions without initial conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New cyclic difference sets with Singer parameters
- Self-dual bent functions
- On Dillon's class \(H\) of bent functions, Niho bent functions and o-polynomials
- On ``bent functions
- A new class of bent and hyper-bent Boolean functions in polynomial forms
- Constructing permutations of finite fields via linear translators
- A new class of monomial bent functions
- Construction of bent functions via Niho power functions
- A family of difference sets in non-cyclic groups
- Univariate Niho Bent Functions From o-Polynomials
- Several New Infinite Families of Bent Functions and Their Duals
- Hyperbent Functions via Dillon-Like Exponents
- Several New Classes of Bent Functions From Dillon Exponents
- Further Results on Niho Bent Functions
- Monomial bent functions
- Constructions of quadratic bent functions in polynomial forms
- Bent Functions With $2^r$ Niho Exponents
- Hyper-bent Boolean Functions with Multiple Trace Terms
- Hyperbent Functions, Kloosterman Sums, and Dickson Polynomials
- Cubic Monomial Bent Functions: A Subclass of $\mathcal{M}$
- A New Family of Hyper-Bent Boolean Functions in Polynomial Form
- Two New Classes of Bent Functions
- Bent and Hyper-Bent Functions in Polynomial Form and Their Link With Some Exponential Sums and Dickson Polynomials
- Bent Functions
- Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)
- Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
This page was built for publication: Further constructions of infinite families of bent functions from new permutations and their duals