A survey on p-ary and generalized bent functions
W Meidl - Cryptography and Communications, 2022 - Springer
Boolean bent functions have been introduced by Rothaus in 1966, bent functions in odd
characteristic were first considered in 1985 by Kumar, Scholtz, and Welch. Two books on …
characteristic were first considered in 1985 by Kumar, Scholtz, and Welch. Two books on …
Bent partitions
N Anbar, W Meidl - Designs, Codes and Cryptography, 2022 - Springer
Spread and partial spread constructions are the most powerful bent function constructions. A
large variety of bent functions from a 2 m-dimensional vector space V 2 m (p) over F p into F …
large variety of bent functions from a 2 m-dimensional vector space V 2 m (p) over F p into F …
Complete Characterization of Generalized Bent and 2k-Bent Boolean Functions
C Tang, C Xiang, Y Qi, K Feng - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this paper, we investigate properties of generalized bent Boolean functions and 2k-bent
(ie, negabent, octabent, hexadecabent, et al.) Boolean functions in a uniform framework …
(ie, negabent, octabent, hexadecabent, et al.) Boolean functions in a uniform framework …
Bent and -Bent functions from spread-like partitions
W Meidl, I Pirsic - Designs, Codes and Cryptography, 2021 - Springer
Bent functions from a vector space V _n V n over F _2 F 2 of even dimension n= 2m n= 2 m
into the cyclic group Z _ 2^ k Z 2 k, or equivalently, relative difference sets in V _n * Z _ 2^ k …
into the cyclic group Z _ 2^ k Z 2 k, or equivalently, relative difference sets in V _n * Z _ 2^ k …
Further results on generalized bent functions and their complete characterization
S Mesnager, C Tang, Y Qi, L Wang… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
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) …
generalized bent Boolean functions and generalized p-ary bent functions with odd prime p) …
An explicit representation and enumeration for negacyclic codes of length over
In this paper, an explicit representation and enumeration for negacyclic codes of length $2^
kn $ over the local non-principal ideal ring $ R=\mathbb {Z} _4+ u\mathbb {Z} _4 $$(u^ 2= 0) …
kn $ over the local non-principal ideal ring $ R=\mathbb {Z} _4+ u\mathbb {Z} _4 $$(u^ 2= 0) …
Several classes of bent functions over finite fields
Inspired by the works of Mesnager (IEEE Trans Inf Theory 60 (7): 4397–4407, 2014) and
Tang et al.(IEEE Trans Inf Theory 63 (10): 6149–6157, 2017), we study a class of bent …
Tang et al.(IEEE Trans Inf Theory 63 (10): 6149–6157, 2017), we study a class of bent …
Equivalence for generalized Boolean functions
A Çeşmelioǧlu, W Meidl - Advances in Mathematics of …, 2023 - aimsciences.org
EQUIVALENCE FOR GENERALIZED BOOLEAN FUNCTIONS Ayça Cesmelioglu ∗1 and
Wilfried Meidl 2,3 (Communicated by Sihem Mesnage Page 1 Advances in Mathematics of …
Wilfried Meidl 2,3 (Communicated by Sihem Mesnage Page 1 Advances in Mathematics of …
Vectorial negabent concepts: similarities, differences, and generalizations
In Pasalic et al.(IEEE Trans Inf Theory 69: 2702–2712, 2023), and in Anbar and Meidl
(Cryptogr Commun 10: 235–249, 2018), two different vectorial negabent and vectorial bent …
(Cryptogr Commun 10: 235–249, 2018), two different vectorial negabent and vectorial bent …
Generalized bent functions into from the partial spread and the Maiorana-McFarland class
W Meidl, A Pott - Cryptography and Communications, 2019 - Springer
Functions f from F pn F_p^n, n= 2 m, to ℤ pk Z_p^k for which the character sum ℋ fk (pt,
u)=∑ x∈ F pn ζ pkptf (x) ζ pu⋅ x H^k_f(p^t,u)=∑\limits_x∈F_p^nζ_p^k^p^tf(x)ζ_p^u⋅x …
u)=∑ x∈ F pn ζ pkptf (x) ζ pu⋅ x H^k_f(p^t,u)=∑\limits_x∈F_p^nζ_p^k^p^tf(x)ζ_p^u⋅x …