Codes parameterized by the edges of a bipartite graph with a perfect matching

被引：0
作者：
Sarabia, Manuel Gonzalez [1 ,2 ,3 ]
Villarreal, Rafael H. [3 ,4 ]
机构：
[1] Inst Politecn Nacl, UPIITA, Av IPN 2580, Ciudad De Mexico 07340, Mexico
[2] COFAA IPN, Dept Ciencias Bas, Mexico City, Mexico
[3] SNI, Mexico City, Mexico
[4] Ctr Invest & Estudios Avanzados IPN, Dept Matemat, Apartado Postal 14-740, Mexico City 07000, Mexico
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2023年 / 31卷 / 02期
关键词：
Parameterized code; Bipartite graph; Perfect matching; GENERALIZED HAMMING WEIGHTS; VANISHING IDEALS;
D O I：
10.2478/auom-2023-0021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the main characteristics of some evaluation codes parameterized by the edges of a bipartite graph with a perfect matching.
引用
收藏
页码：85 / 100
页数：16
相关论文
共 14 条
  • [1] Generalized Hamming weights of affine Cartesian codes
    Beelen, Peter
    Datta, Mrinmoy
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2018, 51 : 130 - 145
  • [2] Relative generalized Hamming weights of affine Cartesian codes
    Datta, Mrinmoy
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2020, 88 (06) : 1273 - 1284
  • [3] Reed-Muller codes on complete intersections
    Duursma, IM
    Rentería, C
    Tapia-Recillas, H
    [J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2001, 11 (06) : 455 - 462
  • [4] Generalized Hamming weights and some parameterized codes
    Gonzalez Sarabia, Manuel
    Renteria Marquez, Carlos
    [J]. DISCRETE MATHEMATICS, 2016, 339 (02) : 813 - 821
  • [5] Parameterized codes associated to the edges of some subgraphs of a simple graph
    Gonzalez Sarabia, Manuel
    Sarmiento Rosales, Eliseo
    [J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2015, 26 (06) : 493 - 505
  • [6] Parameterized Codes over Cycles
    Gonzalez Sarabia, Manuel
    Lara, Joel Nava
    Renteria Marques, Carlos
    Sarmiento Rosales, Eliseo
    [J]. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2013, 21 (03): : 241 - 255
  • [7] Sarabia MG, 2013, MATH COMMUN, V18, P377
  • [8] Gonzlez-Sarabia M., 2003, C NUMER, V161, P105
  • [9] Affine cartesian codes
    Lopez, Hiram H.
    Renteria-Marquez, Carlos
    Villarreal, Rafael H.
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2014, 71 (01) : 5 - 19
  • [10] VANISHING IDEALS OVER GRAPHS AND EVEN CYCLES
    Neves, Jorge
    Pinto, Maria Vaz
    Villarreal, Rafael H.
    [J]. COMMUNICATIONS IN ALGEBRA, 2015, 43 (03) : 1050 - 1075
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