Unitals in the code of the Hughes plane

✍ Scribed by R. D. Baker; K. L. Wantz

• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 73 KB
• Volume: 12
• Category: Article
• ISSN: 1063-8539
• DOI: 10.1002/jcd.10065

✦ Synopsis

Abstract

A coding‐theoretic characterization of a unital in the Hughes plane is provided, based on and extending the work of Blokhuis, Brouwer, and Wilbrink in PG(2,q^2^). It is shown that a Frobenius‐invariant unital is contained in the p‐code of the Hughes plane if and only if that unital is projectively equivalent to the Rosati unital. © 2003 Wiley Periodicals, Inc.