Counting quadratic forms of codimension 2 in characteristic 2 and relations to maximal curves
Abstract
Let Fq be an arbitrary finite field of characteristic 2 and k ≥ 2 be an arbitrary integer. We count the number of quadratic forms of codimension 2 on Fqk over Fq and we give some related results, including some relations to certain maximal curves over finite fields.
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