Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Two New Classes of Bent Functions - MaRDI portal

Two New Classes of Bent Functions

From MaRDI portal
Publication:4934734

DOI10.1007/3-540-48285-7_8zbMath0951.94542OpenAlexW2124818982MaRDI QIDQ4934734

Claude Carlet

Publication date: 1 February 2000

Published in: Advances in Cryptology — EUROCRYPT ’93 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-540-48285-7_8



Related Items

Several classes of Boolean functions with few Walsh transform values, Some general properties of modified bent functions through addition of indicator functions, Further constructions of infinite families of bent functions from new permutations and their duals, EA-inequivalence of bent functions, Constructions of (vectorial) bent functions outside the completed Maiorana-McFarland class, Permutations without linear structures inducing bent functions outside the completed Maiorana-McFarland class, Hyper-bent functions and cyclic codes, On Existence (Based on an Arithmetical Problem) and Constructions of Bent Functions, Two infinite classes of rotation symmetric bent functions with simple representation, A survey on \(p\)-ary and generalized bent functions, On affine (non)equivalence of Boolean functions, On bent functions with some symmetric properties, A complete characterization of \(\mathcal{D}_0 \cap\mathcal{M}^\#\) and a general framework for specifying bent functions in \(\mathcal{C}\) outside \(\mathcal{M}^\#\), Vectorial bent functions weakly/strongly outside the completed Maiorana-McFarland class, Results on bent functions, On the degree of homogeneous bent functions, Cardinality spectra of components of correlation immune functions, bent functions, perfect colorings, and codes, Generalized bent functions into \(\mathbb{Z}_{p^k}\) from the partial spread and the Maiorana-McFarland class, Several new classes of self-dual bent functions derived from involutions, On nonlinearity of Boolean functions generated by the generalized Dobbertin construction, Generalized bent functions -- some general construction methods and related necessary and sufficient conditions, Following forrelation -- quantum algorithms in exploring Boolean functions' spectra, Explicit infinite families of bent functions outside the completed Maiorana-McFarland class, A construction of bent functions of \(n+2\) variables from a bent function of \(n\) variables and its cyclic shifts, Constructions of several special classes of cubic bent functions outside the completed Maiorana-McFarland class, Vectorial Boolean functions with the maximum number of bent components beyond the Nyberg's bound, An asymptotic lower bound on the number of bent functions, Decomposing self-dual bent functions, Further analysis of bent functions from \(\mathcal{C}\) and \(\mathcal{D}\) which are provably outside or inside \(\mathcal{M}^{\#} \), Bent functions constructed from finite pre-quasifield spreads, New characterizations and construction methods of bent and hyper-bent Boolean functions, Construction of nonlinear component based on bent Boolean functions, On the construction of new bent functions from the max-weight and min-weight functions of old bent functions, Several secondary methods for constructing bent-negabent functions, Four decades of research on bent functions, Affine inequivalence of cubic Maiorana-McFarland type bent functions, A further study on the construction methods of bent functions and self-dual bent functions based on Rothaus's bent function, On Dillon's class \(H\) of bent functions, Niho bent functions and o-polynomials, Three parameters of Boolean functions related to their constancy on affine spaces, Design methods for semi-bent functions, Modifying Maiorana--McFarland Type Bent Functions for Good Cryptographic Properties and Efficient Implementation, The norm of the Fourier transform on finite abelian groups, On multiple output bent functions, Homogeneous bent functions, Bent functions from nonlinear permutations and conversely, Two classes of \(p\)-ary bent functions and linear codes with three or four weights, New secondary constructions of bent functions, Some properties of bent functions, Secondary constructions of highly nonlinear Boolean functions and disjoint spectra plateaued functions, Bent and hyper-bent functions over a field of \(2^{\ell}\) elements, Boolean functions with MacWilliams duality, New classes of \(p\)-ary bent functions, A general framework for secondary constructions of bent and plateaued functions, On \(q\)-ary bent and plateaued functions, Bent Functions in $$\mathcal C$$ and $$\mathcal D$$ Outside the Completed Maiorana-McFarland Class, Finding nonnormal bent functions, A novel algorithm enumerating bent functions, Infinite classes of generalised complete permutations, On second-order nonlinearity and maximum algebraic immunity of some bent functions in \(\mathcal{PS}^{+}\), Граф минимальных расстояний между булевыми функциями, Algebraic methods in difference sets and bent functions, Highly nonlinear mappings, Unnamed Item, Constructing new superclasses of bent functions from known ones, Cryptographically significant Boolean functions with five valued Walsh spectra, Two secondary constructions of bent functions without initial conditions