1 Ocak 2021 Dergi makalesi Açık Erişim

Baran, Esma; Sahin, Mesut

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        "name": "Baran, Esma"
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        "affiliation": "Hacettepe Univ, Dept Math, Ankara, Turkey", 
        "name": "Sahin, Mesut"
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    "description": "LeT(X) be a complete simplicial toric variety over a finite field with a split torus T-X. For any matrix Q, we are interested in the subgroup Y-Q of T-X parameterized by the columns of Q. We give an algorithm for obtaining a basis for the unique lattice L whose lattice ideal I-L is I(Y-Q). We also give two direct algorithmic methods to compute the order of Y-Q, which is the length of the corresponding code C-alpha,C-YQ. We share procedures implementing them in Macaulay2. Finally, we give a lower bound for the minimum distance of C-alpha,C-YQ, taking advantage of the parametric description of the subgroup Y-Q. As an application, we compute the main parameters of the toric codes on Hirzebruch surfaces H-l generalizing the corresponding result given by Hansen.", 
    "doi": "10.1007/s00200-021-00513-8", 
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    "journal": {
      "title": "APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING"
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    "publication_date": "2021-01-01", 
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    "title": "On parameterized toric codes"
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