1 Ocak 2021 Dergi makalesi Açık Erişim

Baran, Esma; Sahin, Mesut

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{
  "@context": "https://schema.org/", 
  "@id": 232398, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "name": "Baran, Esma"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Hacettepe Univ, Dept Math, Ankara, Turkey", 
      "name": "Sahin, Mesut"
    }
  ], 
  "datePublished": "2021-01-01", 
  "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.", 
  "headline": "On parameterized toric codes", 
  "identifier": 232398, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "On parameterized toric codes", 
  "url": "https://aperta.ulakbim.gov.tr/record/232398"
}