ON THE NUMBER OF QUADRATIC FORMS HAVING CODIMENSION 2 RADICALS IN CHARACTERISTIC 2 GIVING MAXIMAL/MINIMAL CURVES

Date

2014-09-02

Author

Özbudak, Ferruh

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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).

Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/38790

Journal

COMMUNICATIONS IN ALGEBRA

DOI

https://doi.org/10.1080/00927872.2013.795577

Collections

Department of Mathematics, Article

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Citation Formats

F. Özbudak, “ON THE NUMBER OF QUADRATIC FORMS HAVING CODIMENSION 2 RADICALS IN CHARACTERISTIC 2 GIVING MAXIMAL/MINIMAL CURVES,” COMMUNICATIONS IN ALGEBRA, pp. 3795–3810, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38790.