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

ÖZBUDAK, FERRUH; SAYGI, ELİF; Saygi, Zulfukar

doi:10.1007/s12095-011-0051-5

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

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, cilt.3, sa.4, ss.241-257, 2011 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 3 Sayı: 4
Basım Tarihi: 2011
Doi Numarası: 10.1007/s12095-011-0051-5
Dergi Adı: CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.241-257
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.