The MAGMA algebra system I: the user language
Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference
Toric Codes over Finite Fields
Applicable Algebra in Engineering, Communication and Computing
The Horace Method for Error-Correcting Codes: Mathematics Subject Classification (2000)
Applicable Algebra in Engineering, Communication and Computing
On toric codes and multivariate Vandermonde matrices
Applicable Algebra in Engineering, Communication and Computing
Toric Surface Codes and Minkowski Sums
SIAM Journal on Discrete Mathematics
Algebraic Geometric Codes: Basic Notions
Algebraic Geometric Codes: Basic Notions
Toric Surface Codes and Minkowski Length of Polygons
SIAM Journal on Discrete Mathematics
Lower bounds on minimal distance of evaluation codes
Applicable Algebra in Engineering, Communication and Computing
Bringing Toric Codes to the Next Dimension
SIAM Journal on Discrete Mathematics
On the parameters of r-dimensional toric codes
Finite Fields and Their Applications
Finite Fields and Their Applications
Error-Correcting Codes from Higher-Dimensional Varieties
Finite Fields and Their Applications
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In this paper we construct evaluation codes on zero-dimensional complete intersections in toric varieties and give lower bounds for their minimum distance. This generalizes the results of Gold-Little-Schenck and Ballico-Fontanari who considered evaluation codes on complete intersections in the projective space.