Work

Construction of $(v,k,1)$ cyclic difference families with small parameters

Year: 2025

Type: article

Abstract: We construct all nonequivalent $(v,k,1)$ cyclic difference families for 18 sets of parameters $v$ and $k$ for which classification results were not known. We also present the multipliers of all previously classified CDFs with small parameters. Most of the results are double-checked by two different backtrack search algorithms. The usage of an interesting property of the considered objects makes one of these algorithms faster than the other.Accepted: 20 September 2025

Source: Journal of Algebra Combinatorics Discrete Structures and Applications

DOI: 10.13069/jacodesmath.v13i1.389

Authors: Ivan Hetman, Tsonka Baicheva, Svetlana Topalova

Institutions: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funders: European Commission, Bulgarian Academy of Sciences

Award: G7799207878