Codes and graphs

被引:0
|
作者
Shokrollahi, MA [1 ]
机构
[1] Bell Labs, Murray Hill, NJ 07974 USA
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, I will give a brief introduction to the theory of low-density parity-check codes, and their decoding. I will emphasize the case of correcting erasures as it is still the best understood and most accessible case. At the end of the paper, I will also describe more recent developments.
引用
收藏
页码:1 / 12
页数:12
相关论文
共 50 条
  • [1] ON GRAPHS AND CODES
    CURTIS, RT
    [J]. GEOMETRIAE DEDICATA, 1992, 41 (02) : 127 - 134
  • [2] Codes and decoding on graphs
    Shankar, P
    [J]. CURRENT SCIENCE, 2003, 85 (07): : 980 - 988
  • [3] STRUCTURED CODES OF GRAPHS
    Alon, Noga
    Gujgiczer, Anna
    Korner, Janos
    Milojevic, Aleksa
    Simonyi, Gabor
    [J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2023, 37 (01) : 379 - 403
  • [4] Expander graphs and codes
    Shum, KW
    Blake, IF
    [J]. ALGEBRAIC CODING THEORY AND INFORMATION THEORY, 2005, 68 : 57 - 68
  • [5] Codes on Graphs: Fundamentals
    Forney, G. David, Jr.
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, 60 (10) : 5809 - 5826
  • [6] Regenerating codes on graphs
    Patra, Adway
    Barg, Alexander
    [J]. 2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2021, : 2197 - 2202
  • [7] Codes defined on graphs
    Kschischang, FR
    [J]. IEEE COMMUNICATIONS MAGAZINE, 2003, 41 (08) : 118 - 125
  • [8] Analog codes on graphs
    Santhi, N
    Vardy, A
    [J]. 2003 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY - PROCEEDINGS, 2003, : 13 - 13
  • [9] The graphs of projective codes
    Kwiatkowski, Mariusz
    Pankov, Mark
    Pasini, Antonio
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2018, 54 : 15 - 29
  • [10] On tanner graphs of lattices and codes
    Banihashemi, AH
    Kschischang, FR
    Gulak, PG
    [J]. 1998 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY - PROCEEDINGS, 1998, : 115 - 115