On a Particular Class of Minihypers and Its Applications: II. Improvements for q Square

✍ Scribed by P. Govaerts; L. Storme

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 196 KB
• Volume: 97
• Category: Article
• ISSN: 0097-3165
• DOI: 10.1006/jcta.2001.3219

✦ Synopsis

A particular class of minihypers was studied previously by the authors (in press, Des. Codes Cryptogr.). For q square, this paper improves the results of that work, under the assumption that no weights occur in the minihyper. Using the link between these minihypers and maximal partial s-spreads of PG(N, q), ( ) | (N+1), the findings on minihypers translate immediately into results on the extendability of partial s-spreads with small positive deficiency. Other applications of this characterisation of minihypers are given by P. Govaerts et al. (in press, European J. Combin.