Covering properties of rank metric codes

被引：0
|
作者：
Gadouleau, Maximilien [1 ]
Yan, Zhiyuan [1 ]
机构：
[1] Lehigh Univ, Dept Elect & Comp Engn, Bethlehem, PA 18015 USA
来源：
GLOBECOM 2007: 2007 IEEE GLOBAL TELECOMMUNICATIONS CONFERENCE, VOLS 1-11 | 2007年
关键词：
D O I：
暂无
中图分类号：
TN [电子技术、通信技术];
学科分类号：
0809 ;
摘要：
In this paper, we investigate the covering properties of rank metric codes. We first study the properties of balls with rank radii, and derive several useful results. We then derive both upper and lower bounds on the minimal cardinality of a code with given length and rank covering radius. Using these bounds, we obtain some covering properties of linear rank metric codes.
引用
下载
收藏
页码：1446 / 1450
页数：5
相关论文
共 50 条
  • [41] Weight distribution of rank-metric codes
    Javier de la Cruz
    Elisa Gorla
    Hiram H. López
    Alberto Ravagnani
    Designs, Codes and Cryptography, 2018, 86 : 1 - 16
  • [42] LCP of rank metric codes and its an application
    Zhang, Xiaoyan
    DISCRETE MATHEMATICS, 2023, 346 (07)
  • [43] Weight distribution of rank-metric codes
    de la Cruz, Javier
    Gorla, Elisa
    Lopez, Hiram H.
    Ravagnani, Alberto
    DESIGNS CODES AND CRYPTOGRAPHY, 2018, 86 (01) : 1 - 16
  • [44] Rank-metric complementary dual codes
    Xiusheng Liu
    Hualu Liu
    Journal of Applied Mathematics and Computing, 2019, 61 : 281 - 295
  • [45] Rank-metric codes and their duality theory
    Ravagnani, Alberto
    DESIGNS CODES AND CRYPTOGRAPHY, 2016, 80 (01) : 197 - 216
  • [46] Rank-metric codes and their duality theory
    Alberto Ravagnani
    Designs, Codes and Cryptography, 2016, 80 : 197 - 216
  • [47] Rank-Metric Codes with Local Recoverability
    Kadhe, Swanand
    El Rouayheb, Salim
    Duursma, Iwan
    Sprintson, Alex
    2016 54TH ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING (ALLERTON), 2016, : 1033 - 1040
  • [48] Rank-metric complementary dual codes
    Liu, Xiusheng
    Liu, Hualu
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2019, 61 (1-2) : 281 - 295
  • [49] Fast Decoding of Codes in the Rank, Subspace, and Sum-Rank Metric
    Bartz, Hannes
    Jerkovits, Thomas
    Puchinger, Sven
    Rosenkilde, Johan
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, 67 (08) : 5026 - 5050
  • [50] Optimal Locally Repairable Codes via Rank-Metric Codes
    Silberstein, Natalia
    Rawat, Ankit Singh
    Koyluoglu, O. Ozan
    Vishwanath, Sriram
    2013 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT), 2013, : 1819 - 1823
12345