A computer study of some 1-error correcting perfect binary codes

被引：0
|
作者：
Hessler, Martin [1 ]
机构：
[1] Linkoping Univ, Matemat inst, S-58183 Linkping, Sweden
来源：
AUSTRALASIAN JOURNAL OF COMBINATORICS | 2005年 / 33卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A general algrothm for classifying 1-error correction perfect binary codes of length n, rank n log(2)(n + 1) + 1 and kernel of dimension n log(2)(n + 1) 2 is presented. The algorithm gives for n = 31 that the number of equivalence classes is 197.
引用
收藏
页码：217 / 229
页数：13
相关论文
共 50 条
  • [1] A STUDY ON EQUIVALENCE OF 1-ERROR CORRECTING [6, 2, 4] QUATERNARY CODES
    Hossain, Zahangir
    Dey, Partha Pratim
    Asifuzzaman, Md.
    [J]. ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS, 2019, 20 (02): : 205 - 218
  • [2] A Study On Equivalence of 1-Error Correcting Quaternary [5,2] Codes
    Rian, Toyarak
    Dey, Partha Pratim
    [J]. JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2015, 36 (05): : 501 - 510
  • [3] On perfect 1-ε-error-correcting codes
    Heden, Olof
    Guzeltepe, Murat
    [J]. MATHEMATICAL COMMUNICATIONS, 2015, 20 (01) : 23 - 35
  • [4] PHASED ERROR CORRECTING PERFECT CODES
    SHARMA, BD
    KAUR, B
    [J]. JOURNAL OF CYBERNETICS, 1977, 7 (3-4): : 227 - 247
  • [5] Perfect codes for metrics generated by primitive 2-error-correcting binary BCH codes
    Gabidulin, EM
    Simonis, J
    [J]. 1998 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY - PROCEEDINGS, 1998, : 68 - 68
  • [6] Perfect 1-error-correcting Lipschitz weight codes
    Heden, Olof
    Guzeltepe, Murat
    [J]. MATHEMATICAL COMMUNICATIONS, 2016, 21 (01) : 23 - 30
  • [7] Perfect 1-error-correcting Hurwitz weight codes
    Guzeltepe, Murat
    Altinel, Alev
    [J]. MATHEMATICAL COMMUNICATIONS, 2017, 22 (02) : 265 - 272
  • [8] Binary Error Correcting Network Codes
    Wang, Qiwen
    Jaggi, Sidharth
    Li, Shuo-Yen Robert
    [J]. 2011 IEEE INFORMATION THEORY WORKSHOP (ITW), 2011,
  • [9] SOME RESULTS ON ERROR-CORRECTING NON-BINARY CODES
    RAYCHAUDHURI, DK
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1960, 31 (02): : 536 - 536
  • [10] PERFECT MULTIPLE ERROR-CORRECTING ARITHMETIC CODES
    GORDON, DM
    [J]. MATHEMATICS OF COMPUTATION, 1987, 49 (180) : 621 - 633
12345