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Quadratic forms of codimension 2 over certain finite fields of even characteristic
Date
2011-12-01
Author
Özbudak, Ferruh
Saygi, Zulfukar
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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.
Subject Keywords
Artin-Schreier type curve
,
Quadratic form
,
Maximal curve
URI
https://hdl.handle.net/11511/48047
Journal
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES
DOI
https://doi.org/10.1007/s12095-011-0051-5
Collections
Department of Mathematics, Article
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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.