IJPAM: Volume 69, No. 1 (2011)

AG CODES OBTAINED FROM BLOWING-UPS OF
THE PLANE AT NON-RATIONAL POINTS

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]


Abstract. Here we look at some AG codes over $\mathbb {F}_q$ obtained blowing-up the plane at points on one or two lines, no point being in $\mathbb {P}^2(\mathbb {F}_q)$.

Received: January 1, 2011

AMS Subject Classification: 14G50, 94B27

Key Words and Phrases: blowing-up, algebraic geometric code, AG code

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 69
Issue: 1