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Coding and fast decoding for linear codes with soft and bit-level decision

Research Project

Project/Area Number 08650432
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 InstitutionThe University of Tokushima

Principal Investigator

MORII Masakatu  The University of Tokushima, Faculty of Engineering Professor, 工学部, 教授 (00220038)

Co-Investigator(Kenkyū-buntansha) MOHRI Masami  Kagawa Junior College Research Associate, 助手 (50281697)
Project Period (FY) 1996 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 1997: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1996: ¥1,100,000 (Direct Cost: ¥1,100,000)
Keywordscoding theory / decoding / Reed-Solomon code / weight distribution / best code
Research Abstract

1. A class of linear code is very important as practical and theoretical points of view. For discussing the error performance analysis, we need the minimum distance. However it is hard to compute the minimum distance when the linear code has a great many codewords. An efficient algorithm of computing the minimum distance of linear code is presented. The method is based upon the searching tree and using the property of parity check matrix for linear code.
2. A study of constructing the best code, contain more codewords than any previously known codes of same length and minimum distance, is being continued steadily. A method for constructing good linear code is presented. It is based upon in some properties of parity check matrices and help of a computer search.
3. Shortened Reed-Solomon (RS) codes are practically important class of error correcting codes. However reports of this type of research have apparently not been published to date. The shortened RS code and its decoding algorithm which is extended to correct more errors than indicated by the BCH are discussed.bounds.

Report

(3 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • Research Products

    (7 results)

All Other

All Publications (7 results)

  • [Publications] 毛利 公美、森井 昌克、笹野 博: "高速化Cedervall-Johannessonアルゴリズムの線形符号への適用に関して" 電子情報通信学会論文誌. Vol.J80-A No.11. 2045-2048 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 毛利 公美、森井 昌克: "巡回符号の構造を利用した最小重み符号語数の計算法について" 電子情報通信学会論文誌. Vol.J79-A No.4. 963-972 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Masami MOHRI,Masakatu MORII and Hiroshi SASANO: "Improved Cedervall-Johannesson Algorithm for Linear Block Codes" Trans.on IEICE. Vol.J80-A,No.11. 2045-2048 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Masami MOHRI and Masakatu MORII: "On Computing the Number of Codewords with Minimum Weight for Cyclic Codes" Trans.on IEICE. Vol J79-A,No.4. 963-972 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 毛利公美、 森井昌克、 笹野 博: "高速化Cedervall-Johannessonアルゴリズムの線形符号への適用に関して" 電子情報通信学会論文誌. Vol.J80-ANo.11. 2045-2048 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 毛利公美、森井昌克: "巡回符号の最小距離を求める確率的な方法について" 第19回情報理論とその応用シンポジウム予稿集. Vol.1. 177-180 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 毛利公美、森井昌克: "線形ブロック符号の最小距離を求める方法について" 電子情報通信学会技術研究報告. Vol.96 No.203. 43-46 (1996)

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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