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What is Toric Codes via Vandermonde Matrices about?
This paper discusses toric codes, a class of m-dimensional cyclic codes derived from integer lattice points in integral convex polytopes. The authors present a more elementary method to determine the minimum distance of these codes using a multivariate generalization of Vandermonde determinants. Additionally, they establish a classification for two-dimensional cyclic toric codes and demonstrate the equivalence of toric codes under certain affine transformations.
- Author
- Fran J Gal
- Language
- EN