A new family of Castle and Frobenius nonclassical curves |
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Authors: | Herivelto Borges Ricardo Conceição |
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Affiliation: | 1. Universidade de São Paulo, Inst. de Ciências Matemáticas e de Computação, São Carlos, SP 13560-970, Brazil;2. Gettysburg College, 300 N Washington st., Gettysburg, PA 17325, United States |
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Abstract: | Motivated by the study of minimal value set polynomials, we construct -Frobenius nonclassical curves with a large number of -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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Keywords: | Corresponding author. |
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