Two or three weight linear codes from non-weakly regular bent functions

F Özbudak, RM Pelen - IEEE Transactions on Information …, 2022 - ieeexplore.ieee.org
Linear codes with few weights have applications in consumer electronics, communications,
data storage systems, secret sharing, authentication codes, and association schemes. As a …

An Algorithm for Constructing Support of Bent Functions by Extending a Set

J Nelson, C Srinivasan… - International Journal of …, 2023 - search.proquest.com
Boolean functions form the fundamental components of symmetric cryptographic systems,
serving as the building blocks. Modifying bent functions makes it feasible to design Boolean …

[HTML][HTML] Generating Bent Functions and Dynamic Filters: A Novel Equivalence-Based Approach

J Nelson, C Srinivasan, AR Nair… - Symmetry, 2024 - mdpi.com
Boolean functions are fundamental building blocks in both discrete mathematics and
computer science, with applications spanning from cryptography to coding theory. Bent …

Algorithms for constructing balanced plateaued functions with maximal algebraic degrees

J Jeong, Y Lee - IEEE Transactions on Information Theory, 2023 - ieeexplore.ieee.org
It is important to study constructions of plateaued functions with balancedness and high
algebraic degrees for preventing cryptographic attacks. Our goal of this paper is to find …

Characterizations and constructions of plateaued functions on finite abelian groups

B Xu - Designs, Codes and Cryptography, 2023 - Springer
Plateaued functions have been studied in many papers. They can be candidates for
designing cryptographic functions and have been used to construct linear codes. They also …

Bent-based Realization of a Class of Ternary Plateaued Functions

C Moraga, RS Stanković… - 2022 IEEE 52nd …, 2022 - ieeexplore.ieee.org
A method is disclosed to generate a class of ternary plateaued functions, based on the
concatenations of replicates of ternary bent functions. It is shown that increasing the number …