| Presentation | 1999/3/11 Hφhldt, van Lint and Pellikaan's Generalization of One-Point AG Codes is Equivalent to Miura's Generalization Ryutaroh MATSUMOTO, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Hφhodt, van Lint and, Pellikaan constructed a generalization of the theory of one-point AG codes using only linear algebra by introducing the concept of the order function, and called their generalization evaluation codes. On the other hand, Miura proposed a construction method of linear codes from an arbitrary affine algebraic curve with exactly one point at infinity as a generalization of one-point AG codes. We show that Miura's construction is equivalent to evaluation codes from a weight function, which is a special case of the order function. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | one-point AG codes / evaluation codes |
| Paper # | IT98-101 |
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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) |
| Topics (in English) | |
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| Paper Information | |
| Registration To | Information Security (ISEC) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Hφhldt, van Lint and Pellikaan's Generalization of One-Point AG Codes is Equivalent to Miura's Generalization |
| Sub Title (in English) | |
| Keyword(1) | one-point AG codes |
| Keyword(2) | evaluation codes |
| 1st Author's Name | Ryutaroh MATSUMOTO |
| 1st Author's Affiliation | Sakaniwa Lab., Dept. of Elec. & Elec. Eng., Tokyo Institute of Technology() |
| Date | 1999/3/11 |
| Paper # | IT98-101 |
| Volume (vol) | vol.98 |
| Number (no) | 656 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |