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Complete arcs arising from a generalization of the Hermitian curve (extended abstract)
Affiliation:1. Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, Jerusalem, 9190401, Israel;2. Department of Mathematics, University of Florida, Gainesville, FL 32611, USA;3. Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA
Abstract:We investigate arcs, in projective planes over finite fields, arising from the set of rational points of a generalization of the Hermitian curve. The degree of the arcs is closely related to the number of rational points of a class of Artin-Schreier curves.
Keywords:Finite field  plane arc  Hermitian curve
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