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ON THE NUMBER OF QUADRATIC FORMS HAVING CODIMENSION 2 RADICALS IN CHARACTERISTIC 2 GIVING MAXIMAL/MINIMAL CURVES
Date
2014-09-02
Author
Özbudak, Ferruh
Metadata
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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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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.