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
fDate :
4/1/2004 12:00:00 AM
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;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2004.823441
