On the characterization of minimal value set polynomials

DOI10.1016/j.jnt.2012.08.030zbMath1276.11196arXiv1108.1852OpenAlexW2962858217MaRDI QIDQ1946718

Herivelto Borges, Ricardo P. Conceição

Publication date: 15 April 2013

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1852

zbMATH Keywords

finite fieldspolynomialsvalue set

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

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Finding elliptic curves with a subgroup of prescribed size ⋮ A new family of Castle and Frobenius nonclassical curves ⋮ A link between minimal value set polynomials and tamely ramified towers of function fields over finite fields ⋮ On cubic Kummer type towers of Garcia, Stichtenoth and Thomas ⋮ Rational functions with small value set ⋮ A probabilistic approach to value sets of polynomials over finite fields ⋮ Frobenius nonclassical components of curves with separated variables ⋮ Minimal value set polynomials over fields of size 𝑝³ ⋮ An improvement of the Feng-Rao bound for primary codes

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