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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A new family of Castle and Frobenius nonclassical curves

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Author(s):
Borges, Herivelto [1] ; Conceicao, Ricardo [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
[2] Gettysburg Coll, 300 N Washington St, Gettysburg, PA 17325 - USA
Total Affiliations: 2
Document type: Journal article
Source: Journal of Pure and Applied Algebra; v. 222, n. 4, p. 994-1002, APR 2018.
Web of Science Citations: 2
Abstract

Motivated by the study of minimal value set polynomials, we construct F-q-Frobenius nonclassical curves with a large number of F-q-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. (C) 2017 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 17/04681-3 - Algebraic curves over finite fields
Grantee:Herivelto Martins Borges Filho
Support Opportunities: Regular Research Grants