Recursive constructions for large caps

Citation
Y. Edel et J. Bierbrauer, Recursive constructions for large caps, B BELG MATH, 6(2), 1999, pp. 249-258
Citations number
10
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
ISSN journal
13701444 → ACNP
Volume
6
Issue
2
Year of publication
1999
Pages
249 - 258
Database
ISI
SICI code
1370-1444(199904/06)6:2<249:RCFLC>2.0.ZU;2-D
Abstract
We introduce several recursive constructions for caps in projective spaces. These generalize the known constructions in an essential way and lead to n ew large caps in many cases. Among our results we mention the construction of {(q + 1)(q(2) + 3)}-caps in PG(5, q), of {q(4) + 2q(2)}-caps in PG(6, q) and of q(2)(q(2) + 1)(2)-caps in PG(9, q).