A modified Guruswami-Sudan algorithm for decoding Reed-Solomon codes

被引:0
|
作者
Wang, Xiaorong [1 ]
Shi, Hongbo [1 ]
机构
[1] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210046, Peoples R China
关键词
Reed-Solomon codes; List decoding algorithm; Design of algorithms; Computational complexity; ALGEBRAIC-GEOMETRY;
D O I
10.1016/j.ipl.2010.08.009
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We tighten a key estimate, which dictates the computational complexity of Guruswami-Sudan algorithm, on the lower bound of the degrees of freedom, and then propose a modified decoding algorithm for Reed-Solomon codes beyond half the minimum distance. The computational complexity of the modified algorithm is lower than the Guruswami-Sudan algorithm for the medium to high rate Reed-Solomon codes, and has the same asymptotic complexity as the algorithm proposed by Wu. Besides we also claim that our modified algorithm outperforms Wu's algorithm to some extent. (C) 2010 Elsevier By. All rights reserved.
引用
收藏
页码:992 / 997
页数:6
相关论文
共 50 条
  • [31] Power Decoding of Reed-Solomon Codes Revisited
    Nielsen, Johan S. R.
    CODING THEORY AND APPLICATIONS, 4TH INTERNATIONAL CASTLE MEETING, 2015, 3 : 297 - 305
  • [32] Soft decision decoding of Reed-Solomon codes
    Ponnampalam, V
    Vucetic, B
    IEEE TRANSACTIONS ON COMMUNICATIONS, 2002, 50 (11) : 1758 - 1768
  • [33] Unique Decoding of Certain Reed-Solomon Codes
    Shen, Lin-Zhi
    Fu, Fang-Wei
    Guang, Xuan
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2015, E98A (12): : 2728 - 2732
  • [34] Interpolation in list decoding of Reed-Solomon codes
    P. V. Trifonov
    Problems of Information Transmission, 2007, 43 : 190 - 198
  • [35] Decoding Method of Reed-Solomon Erasure Codes
    Tang D.
    Cai H.
    Geng W.
    Jisuanji Yanjiu yu Fazhan/Computer Research and Development, 2022, 59 (03): : 582 - 596
  • [36] Successive Cancellation Decoding of Reed-Solomon Codes
    Trifonov, P. V.
    PROBLEMS OF INFORMATION TRANSMISSION, 2014, 50 (04) : 303 - 312
  • [37] Decoding of rational functioned reed-solomon codes
    Hu, Ta-Hsiang, 1600, Chung Cheng Institute of Technology (43):
  • [38] Stochastic Chase Decoding of Reed-Solomon Codes
    Leroux, Camille
    Hemati, Saied
    Mannor, Shie
    Gross, Warren J.
    IEEE COMMUNICATIONS LETTERS, 2010, 14 (09) : 863 - 865
  • [39] Limits to list decoding Reed-Solomon codes
    Guruswami, Venkatesan
    Rudra, Atri
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (08) : 3642 - 3649
  • [40] FAST TRANSFORMS FOR DECODING REED-SOLOMON CODES
    REED, IS
    TRUONG, TK
    MILLER, RL
    HUANG, JP
    IEE PROCEEDINGS-F RADAR AND SIGNAL PROCESSING, 1981, 128 (01) : 9 - 14