Highly degenerate quadratic forms over finite fields of characteristic 2

DOI10.1016/j.ffa.2004.06.003zbMath1140.11331OpenAlexW2061417750MaRDI QIDQ1779323

Robert W. Fitzgerald

Publication date: 1 June 2005

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1027&context=math_articles

zbMATH Keywords

tracelinearized polynomialArtin-Schreier curvesfinite fields of characteristic 2Highly degenerate quadratic forms

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Curves over finite and local fields (11G20) Polynomials over finite fields (11T06)

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Cites Work

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• Algebraic function fields and codes
• Cross-correlations of geometric sequences in characteristic two
• Pencils of quadratic forms over finite fields
• Quadratic forms, generalized Hamming weights of codes and curves with many points

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