Maximum Distance Separable Codes in the ρ Metric over Arbitrary Alphabets

被引:0
|
作者
Steven T. Dougherty
Maxim M. Skriganov
机构
[1] University of Scranton,Department of Mathematics
[2] Steklov Institute of Mathematics at,undefined
来源
关键词
MDS codes; uniform distributions;
D O I
暂无
中图分类号
学科分类号
摘要
We give a bound for codes over an arbitrary alphabet in a non-Hamming metric and define MDS codes as codes meeting this bound. We show that MDS codes are precisely those codes that are uniformly distributed and show that their weight enumerators based on this metric are uniquely determined.
引用
收藏
页码:71 / 81
页数:10
相关论文
共 50 条
  • [41] Achieving Maximum Distance Separable Private Information Retrieval Capacity With Linear Codes
    Kumar, Siddhartha
    Lin, Hsuan-Yin
    Rosnes, Eirik
    Graell i Amat, Alexandre
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2019, 65 (07) : 4243 - 4273
  • [42] THROUGHPUT EVALUATION OF MULTICAST ERROR CONTROL SCHEMES WITH MAXIMUM DISTANCE SEPARABLE CODES
    SAKAKIBARA, K
    KASAHARA, M
    ELECTRONICS AND COMMUNICATIONS IN JAPAN PART I-COMMUNICATIONS, 1995, 78 (08): : 46 - 56
  • [43] Maximum distance codes over rings of order 4
    Dougherty, ST
    Shiromoto, K
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2001, 47 (01) : 400 - 404
  • [44] Maximum distance separable codes over Z4 and Z2 x Z4
    Bilal, M.
    Borges, J.
    Dougherty, S. T.
    Fernandez-Cordoba, C.
    DESIGNS CODES AND CRYPTOGRAPHY, 2011, 61 (01) : 31 - 40
  • [45] Parallel Concatenation of Non-Binary Linear Random Fountain Codes with Maximum Distance Separable Codes
    Blasco, Francisco Lazaro
    Garrammone, Giuliano
    Liva, Gianluigi
    IEEE TRANSACTIONS ON COMMUNICATIONS, 2013, 61 (10) : 4067 - 4075
  • [46] LDPC codes over mixed alphabets
    Ng, K. S.
    Armand, M. A.
    ELECTRONICS LETTERS, 2006, 42 (22) : 1290 - 1292
  • [47] Quantum generalized Reed-Solomon codes: Unified framework for quantum maximum-distance-separable codes
    Li, Zhuo
    Xing, Li-Juan
    Wang, Xin-Mei
    PHYSICAL REVIEW A, 2008, 77 (01)
  • [48] Note on maximal distance separable codes
    杨建生
    王德秀
    靳庆芳
    Journal of Shanghai University(English Edition), 2009, 13 (05) : 409 - 411
  • [49] CHAIN CODES WITH ARBITRARY DISTANCE
    EVDOKIMOV, AA
    DOKLADY AKADEMII NAUK SSSR, 1976, 228 (06): : 1273 - 1276
  • [50] On Galois LCD codes and LCPs of codes over mixed alphabets
    Jose, Leijo
    Sharma, Anuradha
    DISCRETE MATHEMATICS, 2025, 348 (08)