Abstract | ||
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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 |
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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 |