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 3 q 2 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.
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