| Presentation | 2006-11-28 Algebraic Coding Theory : Dreams and Realities Shojiro SAKATA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this note, various dreams (ideas) and results (realities), which have been obtained during their pursuits or still remain to be investigated as incomplete seeds throughout my past researches on algebraic coding theory, particularly algebraic codes and their decoding methods, are surveyed, A goal of these trials has been to achieve some generalizations or extensions of the idealistic model. RS code and BM algorithm. Most of the contents were described also in my other articles, and their mathematical details are not mentioned here, except for sketches of main problems and their complete or incomplete solutions. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | error-correcting code / algebraic code / array / Grobner basis / finite field / polynomial ring / variety / linear recurrence / RS code / BM algorithm / algebraic geometry code / BMS algorithm |
| Paper # | IT2006-49 |
| Date of Issue |
| Conference Information | |
| Committee | IT |
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| Conference Date | 2006/11/21(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
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| Paper Information | |
| Registration To | Information Theory (IT) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Algebraic Coding Theory : Dreams and Realities |
| Sub Title (in English) | |
| Keyword(1) | error-correcting code |
| Keyword(2) | algebraic code |
| Keyword(3) | array |
| Keyword(4) | Grobner basis |
| Keyword(5) | finite field |
| Keyword(6) | polynomial ring |
| Keyword(7) | variety |
| Keyword(8) | linear recurrence |
| Keyword(9) | RS code |
| Keyword(10) | BM algorithm |
| Keyword(11) | algebraic geometry code |
| Keyword(12) | BMS algorithm |
| 1st Author's Name | Shojiro SAKATA |
| 1st Author's Affiliation | Faculty of Electro-Communications, University of Electro-Communications() |
| Date | 2006-11-28 |
| Paper # | IT2006-49 |
| Volume (vol) | vol.106 |
| Number (no) | 384 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |