Some necessary conditions on the parameters of partial difference sets

✍ Scribed by S.L. Ma

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 405 KB
• Volume: 62
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(96)00167-x

✦ Synopsis

In this paper, we study some necessary conditions on the parameters of nontrivial regular (v, k, 2,/O-partial difference sets in abelian groups. In particular, we settle some undecided cases in Ma's table [Designs, Codes Cryptography, 4 (1994)]. Also, the case when 2 ~< I is studied.

Nonexistence results are obtained when 2 = 0 and a complete characterization is given when 2 = 1. Finally, parameters of partial difference sets with an odd # are determined.