1 Ocak 2021 Dergi makalesi Açık Erişim

Baran, Esma; Sahin, Mesut

Citation Style Language JSON

{
  "DOI": "10.1007/s00200-021-00513-8", 
  "abstract": "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.", 
  "author": [
    {
      "family": "Baran", 
      "given": " Esma"
    }, 
    {
      "family": "Sahin", 
      "given": " Mesut"
    }
  ], 
  "container_title": "APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING", 
  "id": "232398", 
  "issued": {
    "date-parts": [
      [
        2021, 
        1, 
        1
      ]
    ]
  }, 
  "title": "On parameterized toric codes", 
  "type": "article-journal"
}