Design and Construction of Algebraic-Geometry Codes
| Project/Area Number |
07650410
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
情報通信工学
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
ARAKI Kiyomichi TIT,Dept, of Coap.Eng.Professor, 工学部, 教授 (90016668)
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| Co-Investigator(Kenkyū-buntansha) |
前川 仁 埼玉大学, 工学部, 助教授 (30135660)
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| Project Period (FY) |
1995 – 1996
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| Project Status |
Completed (Fiscal Year 1996)
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| Budget Amount *help |
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1996: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1995: ¥1,700,000 (Direct Cost: ¥1,700,000)
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| Keywords | Error Correcing Code / Algebraic Geometry Code / Fast Decoding / Reliability / Soft Decision / BCH Bound / Maximum Likelihood / Decoder / 誤り訂正符号 / 最犬復号 / 最尤復号 |
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| Research Abstract |
Fast decoding algorithm is proposed, base on the Generalized Mimimum Distant decoding. This is obtained by completing Kotter's decoding algorithm. We introduce an auxiliary polynomial by which a perfect iterative decoding procedure is established. Hardware inplementations can be easily designed. The new decoding procedure can be thought as a reverse direction type of Welch-Berlekamp method. In the Welch-Berlekamp method, a time-consuming syndrome calculation is always required, whereas our wethod begins with a simple hard-decision decoding. Algebraic-Geometry codes can be also fastly decoded by generalizing our method.
Furthermore, a new decoding procedure capable to the beyond BCH bound, is developed which needs a short computation time less then 1/6 times a conventional case, i.e., Blahut and Horiguchi method.
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Report
(3 results)
Research Products
(9 results)
