Research and Innovation Articles
Keywords
- Pole numbers,
- Weierstrass's gaps,
- Hermitian function field
How to Cite
Olaya León, W. (2008). Números polares de P∞ en el cuerpo de funciones hermitianas. Revista Integración, Temas De matemáticas, 26(2), 117–121. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/208
Abstract
In this paper we present a description of pole numbers (or no-gaps) of the infinite place in the hermitian function field. Moreover, we show that in this function field, the pole numbers determine one explicit base for the vector space associated with the divisor mP∞.
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References
[1] Arnaldo GARCIA and Henning STICHTENOTH, “Topics in Geometry”, Coding Theory and Cryptography, Springer, 2007.
[2] Jacobus H. VAN LINT. Introduction to Coding Theory, second edition, SpringerVerlag, 1992.
[3] Jacobus H. VAN LINT and Gerard VAN DER GEER. Introduction to Coding Theory and Algebraic Geometry, Birkhauser, Verlag Basel, 1988.
[4] Henning STICHTENOTH. Algebraic Function Field and Codes, Springer-Verlag, Berlin, 1993
[2] Jacobus H. VAN LINT. Introduction to Coding Theory, second edition, SpringerVerlag, 1992.
[3] Jacobus H. VAN LINT and Gerard VAN DER GEER. Introduction to Coding Theory and Algebraic Geometry, Birkhauser, Verlag Basel, 1988.
[4] Henning STICHTENOTH. Algebraic Function Field and Codes, Springer-Verlag, Berlin, 1993