Some new results on skew frame starters in cyclic groups

TL;DR

This paper investigates skew frame starters in cyclic groups, establishing new non-existence results and providing small constructed examples through computational methods.

Contribution

It introduces new non-existence theorems for certain cyclic skew frame starters and constructs previously unknown examples using computational techniques.

Findings

Three new non-existence results for cyclic skew frame starters

Construction of small examples of cyclic skew frame starters

Enhanced understanding of the structure of skew frame starters in cyclic groups

Abstract

In this paper, we study skew frame starters, which are strong frame starters that satisfy an additional "skew" property. We prove three new non-existence results for cyclic skew frame starters of certain types. We also construct several small examples of previously unknown cyclic skew frame starters by computer.