| Presentation | 1999/3/11 On Error Correction beyond Half of the Feng-Rao Designed Distance of Algebraic-Geometry Codes over Elliptic Curves Yasushi YONAMINE, Hajime JINUSHI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | It is known that Feng-Rao decoding procedure can decode up half of the Feng-Rao designed distance as bounded distance decoding. However, when error occurred beyond half of the Feng-Rao designed distance, it will be only decoded incorrectly, or detected but be not usually corrected. In this paper we propose a decoding method for Algebraic-Geometric code over elliptic curve. In this method, we employ Blahut's histogram method to correct half of the Feng-Rao designed distance +1 errors, under the condition that, in most cases, code word exists uniquely in the minimum distance of the received word. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | elliptic codes / Feng-Rao decoding method / decoding beyond the designed distance / histogram method |
| Paper # | IT98-102 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 1999/3/11(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information Security (ISEC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On Error Correction beyond Half of the Feng-Rao Designed Distance of Algebraic-Geometry Codes over Elliptic Curves |
| Sub Title (in English) | |
| Keyword(1) | elliptic codes |
| Keyword(2) | Feng-Rao decoding method |
| Keyword(3) | decoding beyond the designed distance |
| Keyword(4) | histogram method |
| 1st Author's Name | Yasushi YONAMINE |
| 1st Author's Affiliation | Dept. of Electronic Eng. and Electronics, Aoyama Gakuin University() |
| 2nd Author's Name | Hajime JINUSHI |
| 2nd Author's Affiliation | Dept. of Electronic Eng. and Electronics, Aoyama Gakuin University |
| Date | 1999/3/11 |
| Paper # | IT98-102 |
| Volume (vol) | vol.98 |
| Number (no) | 656 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |