Caps of order 3q < sup> 2 in affine 4-space in characteristic 2
Document Type
Article
Publication Date
1-1-2004
Abstract
We prove that a class of q-ary dual BCH-codes in characteristic 2 produce caps in AG(4,q). This is the first family of caps of order 3q2 in PG(4,q). It is proved that our caps are complete in PG(4,q). We determine the weight distribution of the codes generated by the caps, via a close link to the binary Kloosterman codes, the dual Mélas codes. © 2003 Elsevier Inc. All rights reserved.
Publication Title
Finite Fields and their Applications
Recommended Citation
Edel, Y.,
&
Bierbrauer, J.
(2004).
Caps of order 3q < sup> 2 in affine 4-space in characteristic 2.
Finite Fields and their Applications,
10(2), 168-182.
http://doi.org/10.1016/S1071-5797(03)00050-9
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/7654