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

2011-12-01
Özbudak, Ferruh
Saygi, Zulfukar
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.
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES

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Citation Formats
F. Özbudak and Z. Saygi, “Quadratic forms of codimension 2 over certain finite fields of even characteristic,” CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, pp. 241–257, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48047.