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The art of error correcting coding - Moreloz R.H.

Moreloz R.H. The art of error correcting coding - Wiley publishing , 2002. - 232 p.
ISBN 0471-49581-6
Download (direct link): artoferrorcorrecting2002.pdf
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The Art of Error Correcting Coding Robert H. Morelos-Zaragoza Copyright © 2002 John Wiley & Sons Ltd ISBNs: 0-471-49581-6 (Hardback); 0-470-84782-4 (Electronic)
Appendix A
Weight distributions of extended BCH codes
In this appendix, the weight distributions of all extended BCH codes of length up to 128 are presented. The first row of a table indicates the parameters of the code “n,k,d” (this is also the name of a file containing the weight distribution in the ECC web site.) Subsequent rows of a table list the weight w and the number of codewords of this weight Aw. These codes are symmetric, in the sense that the relation Aw = An-W, forO < w < n/2, holds. Consequently, only half of the distribution is listed.
A.l Length 8
wd.8.1.8 8 1
wd.8.4.4 4 14 8 1
wd.8.7.2 2 28 4 70
A.2 Length 16
wd.16.05.08 8 30
wd.16.07.06 6 48
8 30
wd.16.11.04 4 140
206
THE ART OF ERROR CORRECTING CODING
6 448
8 870
wd.16.15.02 2 120 4 1820
6 8008 8 12870
A.3 Length 32
wd .32.06.16
16 62
wd .32.11.12
12 496
16 1054
wd .32.16.08
8 620
12 13888
16 36518
wd .32.21.06
6 992
8 10540
10 60512
12 228160
14 446400
16 603942
wd. .32.26.04
4 1240
6 27776
8 330460
10 2011776
12 7063784
14 14721280
16 18796230
wd. 32 . 31. 02
2 496
4 35960
6 906192
8 10518300
10 64512240
12 225792840
14 471435600
16 601080390
WEIGHT DISTRIBUTIONS OF EXTENDED BCH CODES
A.4 Length 64
wd.64.07.32 32 126
wd.64.10.28 28 448 32 126
wd.64.16.24 24 5040 28 12544 32 30366
wd.64.18.22 22 4224 24 5040 26 24192 28 12544 30 69888 32 30366
wd.64.24.16 16 2604 18 10752 22 216576 24 291648 26 1645056 28 888832 30 4419072 32 1828134
wd.64.30.14 14 8064 16 30828 18 631680 20 1128960 22 14022144 24 14629440 26 105057792 28 65046016 30 282933504 32 106764966
wd.64.36.12 12 30240 14 354816 16 3583020 18 27105792 20 145061280 22 603113472
208 THE ART OF ERROR CORRECTING CODING
24 1853011776 26 4517259264 28 8269968448 30 12166253568 32 13547993382
wd.64.39.10 10 13888 12 172704 14 2874816 16 29210412 18 214597824 20 1168181280 22 4794749760 24 14924626752 26 35889146496 28 66620912960 30 96671788416 32 109123263270
wd.64.45.08 8 27288
10 501760 12 12738432 14 182458368 16 1862977116 18 13739292672 20 74852604288 22 306460084224 24 956270217000 26 2294484111360 28 4268285380352 30 6180152832000 32 6991765639110
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