| Presentation | 2001/3/16 Constructing Algebraic-Geometry codes with high degree places Masakuni OISHI, Ryutaroh MATSUMOTO, Tomoharu SHIBUYA, Kohichi SAKANIWA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | New constructions of algebraic-geometry codes which use places of arbitrary degree have been proposed by T. Kaida and independently by C. Xing. In this note we consider Kaida's construction, and show that a code with places of lower degree of some function field has greater designed minimum distance. And considering relationship between genus and the number of places, we show that the good choice of function field depends on the dimension of the code. Then we present examples of codes which have better parameters than BCH codes and conventional algebraic-geometry codes. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | algebraic-geometry codes / function fields / high degree places |
| Paper # | IT2000-75,ISEC2000-129,SST2000-159,ITS2000-84 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2001/3/16(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 | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Constructing Algebraic-Geometry codes with high degree places |
| Sub Title (in English) | |
| Keyword(1) | algebraic-geometry codes |
| Keyword(2) | function fields |
| Keyword(3) | high degree places |
| 1st Author's Name | Masakuni OISHI |
| 1st Author's Affiliation | Sakaniwa Lab., Dept. of Electrical & Electronic Eng., Tokyo Institute of Technology() |
| 2nd Author's Name | Ryutaroh MATSUMOTO |
| 2nd Author's Affiliation | Sakaniwa Lab., Dept. of Electrical & Electronic Eng., Tokyo Institute of Technology |
| 3rd Author's Name | Tomoharu SHIBUYA |
| 3rd Author's Affiliation | Sakaniwa Lab., Dept. of Electrical & Electronic Eng., Tokyo Institute of Technology |
| 4th Author's Name | Kohichi SAKANIWA |
| 4th Author's Affiliation | Sakaniwa Lab., Dept. of Electrical & Electronic Eng., Tokyo Institute of Technology |
| Date | 2001/3/16 |
| Paper # | IT2000-75,ISEC2000-129,SST2000-159,ITS2000-84 |
| Volume (vol) | vol.100 |
| Number (no) | 692 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |