MINIMUM DISTANCE OF ELLIPTIC CODES

被引:1
|
作者
SHOKROLLAHI, MA
机构
[1] Institut für Informatik V, Universität Bonn
关键词
D O I
10.1016/0001-8708(92)90029-K
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we investigate three classes of linear codes arising from elliptic curves and compute their minimal distance using implicity the structure of the group of rational points of the curves. © 1992.
引用
收藏
页码:251 / 281
页数:31
相关论文
共 50 条
  • [1] On the minimum distance of elliptic curve codes
    Li, Jiyou
    Wan, Daqing
    Zhang, Jun
    [J]. 2015 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2015, : 2391 - 2395
  • [2] ON THE MINIMUM DISTANCE OF CYCLIC CODES
    VANLINT, JH
    WILSON, RM
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1986, 32 (01) : 23 - 40
  • [3] On the minimum distance of turbo codes
    Truhachev, D
    Lentmaier, M
    Wintzell, O
    Zigangirov, KS
    [J]. ISIT: 2002 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS, 2002, : 84 - 84
  • [4] MINIMUM POLARIZED DISTANCE CODES
    MARCUS, MP
    [J]. IBM JOURNAL OF RESEARCH AND DEVELOPMENT, 1961, 5 (03) : 241 - 248
  • [5] On the minimum distance of Castle codes
    Olaya-Leon, Wilson
    Munuera, Carlos
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2013, 20 : 55 - 63
  • [6] ON THE MINIMUM DISTANCE OF COMBINATORIAL CODES
    TOLHUIZEN, L
    VANLINT, JH
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (04) : 922 - 923
  • [7] On the minimum distance of array codes as LDPC codes
    Yang, KC
    Helleseth, T
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (12) : 3268 - 3271
  • [8] A new bound on the minimum distance of cyclic codes using small-minimum-distance cyclic codes
    Zeh, Alexander
    Bezzateev, Sergey
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2014, 71 (02) : 229 - 246
  • [9] A new bound on the minimum distance of cyclic codes using small-minimum-distance cyclic codes
    Alexander Zeh
    Sergey Bezzateev
    [J]. Designs, Codes and Cryptography, 2014, 71 : 229 - 246
  • [10] Minimum distance and the minimum weight codewords of Schubert codes
    Ghorpade, Sudhir R.
    Singh, Prasant
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2018, 49 : 1 - 28