Partial permutation decoding for the first-order Reed-Muller codes

被引:9
作者
Seneviratne, P. [1 ]
机构
[1] Amer Univ Sharjah, Sharjah, U Arab Emirates
关键词
Permutation decoding; PD-sets; Reed-Muller codes; SETS;
D O I
10.1016/j.disc.2008.03.027
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Partial permutation decoding is shown to apply to the first-order Reed-Muller codes R(1, m), where in > 4 by finding s-PD-sets for these codes for 2 <= s <= 4. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:1967 / 1970
页数:4
相关论文
共 8 条
[1]  
[Anonymous], 1983, THEORY ERROR CORRECT
[2]  
Assmus Jr. E.F., 1992, CAMBRIDGE TRACTS MAT, V103
[3]   MINIMAL PERMUTATION SETS FOR DECODING THE BINARY GOLAY CODES [J].
GORDON, DM .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1982, 28 (03) :541-543
[4]  
Huffman WC, 1998, HANDBOOK OF CODING THEORY, VOLS I & II, P1345
[5]   Information sets and partial permutation decoding for codes from finite geometries [J].
Key, JD ;
McDonough, TP ;
Mavron, VC .
FINITE FIELDS AND THEIR APPLICATIONS, 2006, 12 (02) :232-247
[6]   Partial permutation decoding for codes from finite planes [J].
Key, JD ;
McDonough, TP ;
Mavron, VC .
EUROPEAN JOURNAL OF COMBINATORICS, 2005, 26 (05) :665-682
[7]  
MacWilliams F. J., 1964, BELL SYST TECH J, V43, P485
[8]   ON COVERINGS [J].
SCHONHEIM, J .
PACIFIC JOURNAL OF MATHEMATICS, 1964, 14 (04) :1405-+