Journal article
On the structure of generalized toric codes
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 of 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.
Language: | English |
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Publisher: | Elsevier BV |
Year: | 2009 |
Pages: | 499-506 |
ISSN: | 1095855x and 07477171 |
Types: | Journal article |
DOI: | 10.1016/j.jsc.2007.07.018 |