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Extensions of Generalized Product Caps

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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.

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  1. Mathematisches Institut der Universität, Im Neuenheimer Feld 288, 69120, Heidelberg, Germany

    Yves Edel

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  1. Yves Edel
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Edel, Y. Extensions of Generalized Product Caps. Designs, Codes and Cryptography 31, 5–14 (2004). https://doi.org/10.1023/A:1027365901231

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