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02 Nisan 2014, 15:45 
Atılım Üniversitesi Matematik Bölümü SeminerleriQuadratic forms having codimension 2 radicals giving maximal/minimal curves Zülfikar Saygı
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 by Fitzgerald [in Highly Degenerate Quadratic Forms over $F_2$, Finite Fields Appl., 13 : 778-792 (2007)], in which the number of maximal curves is obtained only for $(q,k)=(2,6)$ and $(q,k)=(2,8)$.
Uygulamalı Matematik İngilizce FEF 404 - Seminar Room admin 20.03.2020 |
