| Paper Abstract and Keywords |
| Presentation |
2004-09-17 10:50
An Approach to the Complete Weight Distribution of a Reed-Solomon Code
Toshihisa Nishijima (Hosei Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
In this paper, to find a clue to a solution of unsolved problems about the complete weight distribution of a Reed-Solomon code, we investigate detailed structure of the Hamming weigh distribution of this code. That is, we try to determine the number of codewords having Hamming weight winf in the information symbols in the codewords having Hamming weight w of a Reed-Solomon code. We derive a recurrence formula relating to Hamming weight winf from results of computer research. We also discuss relations between a proof of this formula and the complete weight distribution. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Reed-Solomon codes / Hamming weight distribution / systematic codes / maximum distance separable codes / complete weight distribution / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 104, no. 302, IT2004-40, pp. 13-18, Sept. 2004. |
| Paper # |
IT2004-40 |
| Date of Issue |
2004-09-09 (IT) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
|
| Conference Information |
| Committee |
IT |
| Conference Date |
2004-09-16 - 2004-09-17 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Osaka Sangyo Univ. |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
general |
| Paper Information |
| Registration To |
IT |
| Conference Code |
2004-09-IT |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
An Approach to the Complete Weight Distribution of a Reed-Solomon Code |
| Sub Title (in English) |
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| Keyword(1) |
Reed-Solomon codes |
| Keyword(2) |
Hamming weight distribution |
| Keyword(3) |
systematic codes |
| Keyword(4) |
maximum distance separable codes |
| Keyword(5) |
complete weight distribution |
| Keyword(6) |
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| Keyword(7) |
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| Keyword(8) |
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| 1st Author's Name |
Toshihisa Nishijima |
| 1st Author's Affiliation |
Hosei University (Hosei Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2004-09-17 10:50:00 |
| Presentation Time |
25 minutes |
| Registration for |
IT |
| Paper # |
IT2004-40 |
| Volume (vol) |
vol.104 |
| Number (no) |
no.302 |
| Page |
pp.13-18 |
| #Pages |
6 |
| Date of Issue |
2004-09-09 (IT) |