On the structure of generalized toric codes

Diego Ruano

    Research output: Contribution to journalJournal articleResearchpeer-review

    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 languageEnglish
    JournalJournal of Symbolic Computation
    Volume44
    Issue number5
    Pages (from-to)499-506
    ISSN0747-7171
    DOIs
    Publication statusPublished - 2009

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