| Paper Abstract and Keywords |
| Presentation |
2004-09-17 10:25
Notes on a Class of Weakly Self-Dual Codes based on Generalized Reed-Solomon Codes
Kazutaka Kiyama, Kin-ichiroh Tokiwa (Osaka Sangyo Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
In this report, we investigate a class of generalized Reed-Solomon (GRS) codes which are weakly self-dual (w.s.d.) from the viewpoint of the relationship to Reed-Solomon (RS) codes. We derive a sufficient condition in which GRS codes are w.s.d. The followings are obtained for GRS codes satisfying the sufficient condition : (1) if the code length $n=2^m-1$ or $n=2^m$, then the resultant w.s.d. GRS codes are RS codes or extended RS codes, respectively, and (2) if the code length $n<2^m-1$, then the resultant w.s.d. GRS codes are not modified RS codes but pure GRS codes. Moreover, it is shown that even if the above sufficient condition is not satisfied, the w.s.d. GRS codes can be specified for code length $n<2^m-1$, and that those codes are modified RS codes. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
weakly self-dual codes / generalized Reed-Solomon codes / / / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 104, no. 302, IT2004-39, pp. 7-12, Sept. 2004. |
| Paper # |
IT2004-39 |
| Date of Issue |
2004-09-09 (IT) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
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| 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) |
Notes on a Class of Weakly Self-Dual Codes based on Generalized Reed-Solomon Codes |
| Sub Title (in English) |
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| Keyword(1) |
weakly self-dual codes |
| Keyword(2) |
generalized Reed-Solomon codes |
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| 1st Author's Name |
Kazutaka Kiyama |
| 1st Author's Affiliation |
Osaka Sangyo University (Osaka Sangyo Univ.) |
| 2nd Author's Name |
Kin-ichiroh Tokiwa |
| 2nd Author's Affiliation |
Osaka Sangyo University (Osaka Sangyo Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2004-09-17 10:25:00 |
| Presentation Time |
25 minutes |
| Registration for |
IT |
| Paper # |
IT2004-39 |
| Volume (vol) |
vol.104 |
| Number (no) |
no.302 |
| Page |
pp.7-12 |
| #Pages |
6 |
| Date of Issue |
2004-09-09 (IT) |
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