Note on a Problem of Krasikov and Schönheim for Planar Cyclic Difference Sets

✍ Scribed by Bernt Lindström

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 30 KB
• Volume: 23
• Category: Article
• ISSN: 0195-6698
• DOI: 10.1006/eujc.2000.0463

✦ Synopsis

Let D be a planar cyclic difference set with 0 ∈ D. Krasikov and Schönheim proposed in the problem: prove that there are elements d i , d j , d k ∈ D -{0} such that d i + d j + d k = 0. We prove this and a little more.