IJPAM: Volume 78, No. 3 (2012)
EVALUATION CODES ALONG SUBSETS
OF COMPLETE INTERSECTIONS
OF COMPLETE INTERSECTIONS
E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]
Abstract. Fix a zero-dimensional scheme
defined over the finite field
. For any
such that
let
denote the evaluation code obtained evaluating
at the points of
. Here we extend works of Hansen, (case
) to the case of a complete intersections
. The proofs for the minimum distance are the same.
Received: December 13, 2011
AMS Subject Classification: 14N05, 16E65, 94B27
Key Words and Phrases: evaluation code, complete intersection, Gorenstein zero-dimensional scheme
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 3