On the structure of generalized toric codes

In: Special Issue of JSC EACA'06. 2007

Authors

• Diego Ruano

Abstract

Toric codes are obtained by evaluating rational functions of a nonsingular toric variety at the algebraic torus. One can extend toric codes to the so called generalized toric codes. This extension consists on evaluating elements of an arbitrary polynomial algebra at the algebraic torus instead of a linear combination of monomials whose exponents are rational points of a convex polytope. We study their multicyclic and metric structure, and we use them to express their dual and to estimate their minimum distance.

Full Text

• Publication: Ruano06structure.pdf

BibTeX

 
@Article{ Ruano07structure, 
   title = { On the structure of generalized toric codes }, 
   author = { Diego Ruano },    
   journal = { Special Issue of JSC EACA'06 },             
   year = 2007, 
} 

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This publication belongs to the project KryFoVe.