IJPAM: Volume 15, No. 1 (2004)


E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it

Abstract.Let $C$ be a smooth projective curve over $GF(q)$ and $E$ a vector bundle on $C$ defined over $GF(q)$. Here we compute the parameters of the evaluation codes obtained from line bundles on the rule variety $X:= {\bf {P}}(E)$.

Received: May 5, 2004

AMS Subject Classification: 14G50, 14H60

Key Words and Phrases: ruled varieties, evaluation codes, linear codes, vector bundles on curves, $p$-semistability, finite field nullstellensatz

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 15
Issue: 1