Title
Extensions of Generalized Product Caps
Abstract
We give some variants of a new construction for caps. As an application of these constructions, we obtain a 1216-cap in PG(9,3) a 6464-cap in PG(11,3) and several caps in ternary affine spaces of larger dimension, which lead to better asymptotics than the caps constructed by Calderbank and Fishburn [1]. These asymptotic improvements become visible in dimensions as low as 62, whereas the bound from Calderbank and Fishburn [1] is based on caps in dimension 13,500.
Year
DOI
Venue
2004
10.1023/A:1027365901231
Des. Codes Cryptography
Keywords
Field
DocType
product construction,asymptotic bound,Hill cap,Calderbank–Fishburn cap
Affine transformation,Discrete mathematics,Combinatorics,Ternary operation,Asymptotic analysis,Mathematics
Journal
Volume
Issue
ISSN
31
1
1573-7586
Citations 
PageRank 
References 
13
1.46
5
Authors
1
Name
Order
Citations
PageRank
Yves Edel114117.61