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

Source 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