Results 271 to 280 of about 12,156,906 (329)

Generic Constructions of (Boolean and Vectorial) Bent Functions and Their Consequences

IEEE Transactions on Information Theory, 2022
This article is devoted to Boolean and vectorial bent functions and their duals. Our ultimate objective is to increase such functions’ corpus by designing new ones covering many previous bent functions’ constructions.
Yanjun Li, Haibin Kan, Sihem Mesnager
exaly   +2 more sources

On the dual of (non)-weakly regular bent functions and self-dual bent functions [PDF]

Advances in Mathematics of Communications, 2013
For weakly regular bent functions in odd characteristic the dual function is also bent. We analyse a recently introduced construction of nonweakly regular bent functions and show conditions under which their dual is bent as well.
Ayça Çeşmelioğlu, Wilfried Meidl, Alexander Pott   +2 more
exaly   +2 more sources

Two or Three Weight Linear Codes From Non-Weakly Regular Bent Functions

IEEE Transactions on Information Theory, 2022
Linear codes with few weights have applications in consumer electronics, communications, data storage systems, secret sharing, authentication codes, and association schemes.
F. Özbudak, Rumi Melih Pelen
semanticscholar   +1 more source

An asymptotic lower bound on the number of bent functions

Designs, Codes and Cryptography, 2021
A Boolean function f on n variables is said to be a bent function if the absolute value of all its Walsh coefficients is 2n/2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
V. Potapov, Anna A. Taranenko, Y. Tarannikov   +2 more
semanticscholar   +1 more source

ON THE NONEXISTENCE of BENT FUNCTIONS

International Journal of Foundations of Computer Science, 2011
In this paper, we study the nonexistence of bent functions in the class of Boolean functions without monomials of degree less than d in their algebraic normal forms (ANF). We prove that n-variable Boolean functions in such class are not bent when there are not more than n + d - 3 monomials in their ANFs.
Yin Zhang, Meicheng Liu, Dongdai Lin
openaire   +1 more source

Systematic Methods of Constructing Bent Functions and 2-Rotation Symmetric Bent Functions

IEEE Transactions on Information Theory, 2020
In this paper, we first present two systematic constructions of bent functions by modifying the truth tables of Rothaus’s bent function and Maiorana-McFarland’s bent function respectively.
Sihong Su
exaly   +2 more sources

Further analysis of bent functions from C and D which are provably outside or inside M#

Discrete Applied Mathematics, 2020
In early nineties Carlet (1994) introduced two new classes of bent functions, both derived from the Maiorana–McFarland ( M ) class, and named them C and D class, respectively.
Fengrong Zhang, N. Cepak, E. Pasalic, Yongzhuang Wei   +3 more
semanticscholar   +1 more source

Sequences of bent functions and near-bent functions

Cryptography and Communications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Duals of non-weakly regular bent functions are not weakly regular and generalization to plateaued functions

Finite Fields Their Appl., 2020
It is known that the dual of a weakly regular bent function is again weakly regular. On the other hand, the dual of a non-weakly regular bent function may not even be a bent function. In 2013, Cesmelioglu, Meidl and Pott pointed out that the existence of
F. Özbudak, Rumi Melih Pelen
semanticscholar   +1 more source

Further Results on Generalized Bent Functions and Their Complete Characterization

IEEE Transactions on Information Theory, 2018
This paper contributes to increase our knowledge on generalized bent functions (including generalized bent Boolean functions and generalized $p$ -ary bent functions with odd prime $p$ ) by bringing new results on their characterization and construction
Sihem Mesnager, Chunming Tang, Yanfeng Qi   +2 more
exaly   +2 more sources