A new family of Castle and Frobenius nonclassical curves

Journal of Pure and Applied Algebra（2018）

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摘要

Motivated by the study of minimal value set polynomials, we construct Fq-Frobenius nonclassical curves with a large number of Fq-rational points. For some of these curves, we determine the Weierstrass semigroup at the unique point at infinity. In particular, we prove that they yield new examples of Castle curves.

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