Trace forms over finite fields of characteristic 2 with prescribed invariants

Authors:
Robert W. Fitzgerald
Affiliations:
Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, USA
Venue:
Finite Fields and Their Applications
Year:
2009

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Abstract

We determine the possible pairs of invariants of a trace form and construct forms with these invariants. We use this to construct new maximal Artin-Schreier curves.