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
  • [31] A new rank metric for convolutional codes
    Almeida, P.
    Napp, D.
    DESIGNS CODES AND CRYPTOGRAPHY, 2021, 89 (01) : 53 - 73
  • [32] Hermitian Rank Metric Codes and Duality
    La Cruz, Javier De
    Evilla, Jorge Robinson
    Ozbudak, Ferruh
    IEEE ACCESS, 2021, 9 : 38479 - 38487
  • [33] Rank metric codes and zeta functions
    I. Blanco-Chacón
    E. Byrne
    I. Duursma
    J. Sheekey
    Designs, Codes and Cryptography, 2018, 86 : 1767 - 1792
  • [34] On kernels and nuclei of rank metric codes
    Guglielmo Lunardon
    Rocco Trombetti
    Yue Zhou
    Journal of Algebraic Combinatorics, 2017, 46 : 313 - 340
  • [35] Covering Codes for the Fixed Length Levenshtein Metric
    Vorobyev I.V.
    Problems of Information Transmission, 2023, 59 (2) : 86 - 98
  • [36] Insdel codes from subspace and rank-metric codes
    Aggarwal, Vaneet
    Pratihar, Rakhi
    DISCRETE MATHEMATICS, 2024, 347 (01)
  • [37] Saturating systems and the rank-metric covering radius
    Bonini, Matteo
    Borello, Martino
    Byrne, Eimear
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2023, 58 (04) : 1173 - 1202
  • [38] Saturating systems and the rank-metric covering radius
    Matteo Bonini
    Martino Borello
    Eimear Byrne
    Journal of Algebraic Combinatorics, 2023, 58 : 1173 - 1202
  • [39] Rank metric and Gabidulin codes in characteristic zero
    Augot, Daniel
    Loidreau, Pierre
    Robert, Gwezheneg
    2013 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT), 2013, : 509 - +
  • [40] Tensor Representation of Rank-Metric Codes
    Byrne, Eimear
    Neri, Alessandro
    Ravagnani, Alberto
    Sheekey, John
    SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY, 2019, 3 (04): : 614 - 643
12345