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
Several New Infinite Families of Bent Functions and Their Duals - MaRDI portal

Several New Infinite Families of Bent Functions and Their Duals

From MaRDI portal
Publication:2986299

DOI10.1109/TIT.2014.2320974zbMath1360.94480MaRDI QIDQ2986299

Sihem Mesnager

Publication date: 16 May 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)




Related Items

More permutations and involutions for constructing bent functions, Several classes of Boolean functions with few Walsh transform values, Constructing new APN functions and bent functions over finite fields of odd characteristic via the switching method, Further constructions of infinite families of bent functions from new permutations and their duals, Generalized Rothaus construction and non-weakly regular bent functions, Several new classes of (balanced) Boolean functions with few Walsh transform values, Permutations without linear structures inducing bent functions outside the completed Maiorana-McFarland class, Infinite families of five-valued Walsh spectrum Boolean functions, A construction of binary linear codes from Boolean functions, On the existence and non-existence of some classes of bent-negabent functions, On Existence (Based on an Arithmetical Problem) and Constructions of Bent Functions, Bent and Semi-bent Functions via Linear Translators, Two infinite classes of rotation symmetric bent functions with simple representation, The Hamming Distance Spectrum Between Self-Dual Maiorana–McFarland Bent Functions, A survey on \(p\)-ary and generalized bent functions, Further results on semi-bent functions in polynomial form, A complete characterization of \(\mathcal{D}_0 \cap\mathcal{M}^\#\) and a general framework for specifying bent functions in \(\mathcal{C}\) outside \(\mathcal{M}^\#\), On constructions of bent, semi-bent and five valued spectrum functions from old bent functions, Vectorial bent functions weakly/strongly outside the completed Maiorana-McFarland class, 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, Frobenius linear translators giving rise to new infinite classes of permutations and bent functions, A new construction of rotation symmetric bent functions with maximal algebraic degree, Several classes of new weakly regular bent functions outside \(\mathcal{RF}\), their duals and some related (minimal) codes with few weights, Vectorial bent functions and linear codes from quadratic forms, Minimal linear codes from Maiorana-McFarland functions, Explicit infinite families of bent functions outside the completed Maiorana-McFarland class, Cryptographic functions with interesting properties from CCZ-equivalence, Generic construction of Boolean functions with a few Walsh transform values of any possible algebraic degree, Character sums over a non-chain ring and their applications, Constructions of several special classes of cubic bent functions outside the completed Maiorana-McFarland class, Results on the Gowers U2 Norm of Generalized Boolean Functions, Decomposing self-dual bent functions, Further analysis of bent functions from \(\mathcal{C}\) and \(\mathcal{D}\) which are provably outside or inside \(\mathcal{M}^{\#} \), New classes of bent functions via the switching method, Several classes of permutation polynomials based on the AGW criterion over the finite field \(\mathbb{F}_{2^{2m}}\), Cubic bent functions outside the completed Maiorana-McFarland class, Construction methods for generalized bent functions, Several secondary methods for constructing bent-negabent functions, 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, Several classes of bent functions over finite fields, Several Classes of Quadratic Ternary Bent, Near-Bent and 2-Plateaued Functions, Bent and \(\mathbb{Z}_{2^k}\)-bent functions from spread-like partitions, Bent functions from nonlinear permutations and conversely, A new method for secondary constructions of vectorial bent functions, METRICAL PROPERTIES OF THE SET OF BENT FUNCTIONS IN VIEW OF DUALITY, Two classes of \(p\)-ary bent functions and linear codes with three or four weights, A secondary construction of bent functions, octal gbent functions and their duals, A general framework for secondary constructions of bent and plateaued functions, New Bent Functions from Permutations and Linear Translators, Several infinite families of \(p\)-ary weakly regular bent functions, Constructing vectorial bent functions via second-order derivatives, Metrical properties of self-dual bent functions, Composition of Boolean functions: an application to the secondary constructions of bent functions, The group of automorphisms of the set of self-dual bent functions, Several new infinite families of bent functions via second order derivatives, An answer to an open problem of Mesnager on bent functions, Constructing new superclasses of bent functions from known ones, Two secondary constructions of bent functions without initial conditions