DocumentCode
975292
Title
On binary images of shortened cyclic (8, 5) codes over GF(28)
Author
Tokushige, Hitoshi ; Tanoue, Takaaki ; Kasami, Tadao
Author_Institution
Hiroshima City Univ., Japan
Volume
8
Issue
4
fYear
2004
fDate
4/1/2004 12:00:00 AM
Firstpage
253
Lastpage
255
Abstract
We have generated binary images of a large number of shortened cyclic (8, 5) codes over GF(28) and have computed weight distributions of the binary images of the codes. Based on the weight distributions, we have chosen four codes with the largest minimum weight 8 and the second largest minimum weight 7 among the generated codes. Over an additive white Gaussian noise channel with binary phase-shift keying modulation, simulation results have shown that block error rates of the chosen codes by a soft-decision decoding based on order-2 reprocessing are smaller than those of (64, 40) subcodes of Reed-Muller (64, 42) code by maximum likelihood decoding.
Keywords
AWGN channels; Galois fields; cyclic codes; decoding; error statistics; phase shift keying; additive white Gaussian noise channel; binary images; binary phase-shift keying modulation; block error rates; shortened cyclic codes; soft-decision decoding; weight distributions; Additive white noise; Computational modeling; Concatenated codes; Distributed computing; Error analysis; Image generation; Maximum likelihood decoding; Modulation coding; Phase modulation; Phase shift keying;
fLanguage
English
Journal_Title
Communications Letters, IEEE
Publisher
ieee
ISSN
1089-7798
Type
jour
DOI
10.1109/LCOMM.2004.823441
Filename
1294941
Link To Document