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Design and Construction of Algebraic-Geometry Codes

Research Project

Project/Area Number 07650410
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 情報通信工学
Research InstitutionTokyo Institute of Technology

Principal Investigator

ARAKI Kiyomichi  TIT,Dept, of Coap.Eng.Professor, 工学部, 教授 (90016668)

Co-Investigator(Kenkyū-buntansha) 前川 仁  埼玉大学, 工学部, 助教授 (30135660)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
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)
KeywordsError 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
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.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (9 results)

All Other

All Publications (9 results)

  • [Publications] 沓掛 博之, 荒木 純道: "消失位置を未知変数に用いたBCH限界以上の復号について" 電子情報通信学会 春・全国大会予稿集. 分冊(A). 244- (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 沓掛 博之, 荒木 純道: "RS符号の(t+1)シンボル誤り訂正について" 電子情報通信学会 基礎・境界ソサエティ大会講演集. A・152. 153- (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 沓掛 博之, 荒木 純道: "WBアルゴリズムの逆更新法について" 電子情報通信学会 総合大会講演論文集. 分冊1. 230- (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Kutsukake, K.Araki: "Beyond BCH Bound decoding Using Erasure Positions" IEICE' Spring National Convention. vol.A. 244 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Kutsukake, K.Araki: "On (t+1) Symbols Error Correction of RS Code" IEICE Foundamentals Society Convention. vol.A152. 153 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Kutsukake, K.Araki: "On Reversing of WB Algorithm" IEICE National Convention. vol.1. 230 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 沓掛博之、荒木純道: "消失位置を未知変数に用いたBCH限界以上の復号について" 電子情報通信学会春季全国大会予稿集. 分冊(A). 244 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 沓掛博之、荒木純道: "RS符号の(t+1)シンボル誤り訂正について" 電子情報通信学会・基礎・境界ソサイエティ大会講演集. A-152. 153 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 沓掛博之 荒木純道: "消失位置を未知変数に用いたBCH限界以上の復号について" 電子情報通信学会春季全国大会予稿集. 分冊(A). A-242 (1996)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2021-12-17  

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