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On the Number of Quadratic Forms Having Codimension 2 Radicals in Characteristic 2 Giving Maximal/Minimal Curves

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Date
2014-09
Author
Ozbudak, Ferruh
Saygı, Zülfükar
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Abstract
Let F-q be an arbitrary finite field of characteristic 2 and k be an arbitrary even integer. We count the number of quadratic forms having codimension 2 radicals on F-q(k) over F-q such that the corresponding curve is maximal or minimal. This problem is first attempted in [3], in which the number of maximal curves is obtained only for (q, k) = (2, 6) and (q, k) = (2, 8).
URI
https://doi.org/10.1080/00927872.2013.795577
http://hdl.handle.net/20.500.11851/1733
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  • Matematik Bölümü / Department of Mathematics

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