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


ÖZBUDAK F. , SAYGI Z.

COMMUNICATIONS IN ALGEBRA, cilt.42, sa.9, ss.3795-3810, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 42 Konu: 9
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1080/00927872.2013.795577
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Sayfa Sayıları: ss.3795-3810

Özet

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).