Results 291 to 300 of about 12,156,906 (329)

Ternary self-orthogonal codes from weakly regular bent functions and their application in LCD Codes

Designs, Codes and Cryptography, 2023
Ziling Heng, Dexiang Li, Fenjin Liu
semanticscholar   +1 more source

On Homogeneous Bent Functions

2001
A new surprising connection between invariant theory and the theory of bent functions is established. This enables us to construct Boolean function having a prescribed symmetry given by a group action. Besides the quadratic bent functions the only other known homogeneous bent functions are the six variable degree three functions constructed in [14]. We
Chris Charnes, Martin Rötteler, Thomas Beth   +2 more
openaire   +1 more source

Characterization of $p$ -ary Bent Functions in Terms of Strongly Regular Graphs

IEEE Transactions on Information Theory, 2019
A $p$ -ary function $f$ in $n$ variables is an $l$ - form if $f({\mathrm{ tu}})=t^{l}f(u)$ for any nonzero $t$ in $\mathbb {Z}_{p}$ and $u$ in $\mathbb {Z}^{n}_{p}$ .
J. Hyun, Yoonjin Lee
semanticscholar   +1 more source

Constructing new superclasses of bent functions from known ones

Cryptography and Communications, 2022
A. Bapić, E. Pasalic, Fengrong Zhang, S. Hodžić   +3 more
semanticscholar   +1 more source

Permutations without linear structures inducing bent functions outside the completed Maiorana-McFarland class

Cryptography and Communications, 2021
S. Kudin, E. Pasalic, N. Cepak, Fengrong Zhang   +3 more
semanticscholar   +1 more source

Maximally Nonlinear Functions and Bent Functions

Designs, Codes and Cryptography, 1999
The topic to which the present paper belongs has earlier been studied in several works of Dobbertin. Let \(GF(2^n)\) be the finite field of size \(2^n\). The mappings (denoted by \(F\)) from \(GF(2^n)\) to itself are studied. A quantity \(L(F)\) is introduced, it serves as a measure of the linearity of \(F\).
openaire   +1 more source

Vectorial bent functions and partial difference sets

Designs, Codes and Cryptography, 2021
Ayça Çeşmelioğlu, W. Meidl, Isabel Pirsic   +2 more
semanticscholar   +1 more source

A new method for secondary constructions of vectorial bent functions

Designs, Codes and Cryptography, 2021
A. Bapić, E. Pasalic
semanticscholar   +1 more source

Some general properties of modified bent functions through addition of indicator functions

Cryptography and Communications, 2021
N. Kolomeec
semanticscholar   +1 more source

Minimal linear codes from weakly regular bent functions

Cryptography and Communications, 2021
Guangkui Xu, Longjiang Qu, Gaojun Luo
semanticscholar   +1 more source