On the structure of generalized toric codes

Diego Ruano

    Research output: Contribution to journalJournal articleResearchpeer-review


    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
    Issue number5
    Pages (from-to)499-506
    Publication statusPublished - 2009


    Dive into the research topics of 'On the structure of generalized toric codes'. Together they form a unique fingerprint.

    Cite this