Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777524 | Journal of Combinatorial Theory, Series A | 2017 | 10 Pages |
Abstract
Let n and t be positive integers with t(qrâ1)/(qâ1), then the maximum size, i.e., cardinality, of a partial (tâ1)-spread of PG(nâ1,q) is (qnâqt+r)/(qtâ1)+1. This essentially settles a main open problem in this area. Prior to this result, this maximum size was only known for râ{0,1} and for r=q=2.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Esmeralda L. NÄstase, Papa A. Sissokho,