Pseudo quasi-3 designs and their applications to coding theory

✍ Scribed by Carl Bracken

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 94 KB
• Volume: 17
• Category: Article
• ISSN: 1063-8539
• DOI: 10.1002/jcd.20208

✦ Synopsis

Abstract

We define a pseudo quasi‐3 design as a symmetric design with the property that the derived and residual designs with respect to at least one block are quasi‐symmetric. Quasi‐symmetric designs can be used to construct optimal self complementary codes. In this article we give a construction of an infinite family of pseudo quasi‐3 designs whose residual designs allow us to construct a family of codes with a new parameter set that meet the Grey Rankin bound. © 2009 Wiley Periodicals, Inc. J Combin Designs 17: 411–418, 2009