Improved list-decoding for Reed-Muller codes as generalized multiple concatenated (GMC) codes

被引:0
|
作者
Lucas, R [1 ]
Bossert, M [1 ]
Dammann, A [1 ]
机构
[1] Univ Hawaii, Honolulu, HI 96822 USA
关键词
D O I
10.1109/ISIT.1998.708942
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We present a new list-decoding algorithm for Reed-Muller (RM) codes based on the GMC decoding algorithm proposed in [1]. As a result, a SDML decoding algorithm for the Ist order RM codes is obtained. Furthermore, simulations showed that for RM codes of higher order and up to a length 1024, the performance of L-GMC decoding is more than 1dB superior to conventional GMC decoding.
引用
收藏
页码:337 / 337
页数:1
相关论文
共 50 条
  • [41] Reed-Muller Codes
    Abbe, Emmanuel
    Sberlo, Ori
    Shpilka, Amir
    Ye, Min
    FOUNDATIONS AND TRENDS IN COMMUNICATIONS AND INFORMATION THEORY, 2023, 20 (1-2): : 1 - 156
  • [42] ON THE REED-MULLER CODES
    ASSMUS, EF
    DISCRETE MATHEMATICS, 1992, 106 : 25 - 33
  • [43] Simplified Decoding of Polar Codes by Identifying Reed-Muller Constituent Codes
    Ghaddar, Nadim
    Saber, Hamid
    Lin, Hsien-Ping
    Bae, Jung Hyun
    Lee, Jungwon
    2020 IEEE GLOBAL COMMUNICATIONS CONFERENCE (GLOBECOM), 2020,
  • [44] On the second weight of generalized Reed-Muller codes
    Olav Geil
    Designs, Codes and Cryptography, 2008, 48 : 323 - 330
  • [45] Concatenated codes using Reed-Muller codes and bit-extension codes for a wiretap channel
    Kim, Sunghwan
    Kwon, Sungoh
    Yoon, Seokhoon
    IET COMMUNICATIONS, 2015, 9 (12) : 1437 - 1441
  • [46] THE AUTOMORPHISM GROUP OF GENERALIZED REED-MULLER CODES
    BERGER, T
    CHARPIN, P
    DISCRETE MATHEMATICS, 1993, 117 (1-3) : 1 - 17
  • [47] On the Generalized Covering Radii of Reed-Muller Codes
    Elimelech, Dor
    Wei, Hengjia
    Schwartz, Moshe
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2022, 68 (07) : 4378 - 4391
  • [48] On the generalized modal Θ-valent Reed-Muller codes
    Armand, Tsimi Jean
    Cedric, Pemha Binyam Gabriel
    JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2021, 42 (08): : 1885 - 1906
  • [49] On the second weight of generalized Reed-Muller codes
    Geil, Olav
    DESIGNS CODES AND CRYPTOGRAPHY, 2008, 48 (03) : 323 - 330
  • [50] Generalized Reed-Muller codes over Zq
    Bhaintwal, Maheshanand
    Wasan, Siri Krishan
    DESIGNS CODES AND CRYPTOGRAPHY, 2010, 54 (02) : 149 - 166