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 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.
Original language | English |
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Journal | Journal of Symbolic Computation |
Volume | 44 |
Issue number | 5 |
Pages (from-to) | 499-506 |
ISSN | 0747-7171 |
DOIs | |
Publication status | Published - 2009 |