Quadratic forms of codimension 2 over certain finite fields of even characteristic


ÖZBUDAK F. , SAYGI E., Saygi Z.

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, vol.3, no.4, pp.241-257, 2011 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 3 Issue: 4
  • Publication Date: 2011
  • Doi Number: 10.1007/s12095-011-0051-5
  • Title of Journal : CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES
  • Page Numbers: pp.241-257

Abstract

Let F-q be a finite field of characteristic 2, not containing F-4. Let k >= 2 be an even integer. We give a full classification of quadratic forms over F-q(k) of codimension 2 provided that certain three coefficients are from F-4. We apply this to the classification of maximal and minimal curves over finite fields.