JP3989558B2 - ＧＦ（２▲上ｗ＋ｉ▼）のシンボルの（ｗ＋ｉ＋１）ビット表現を用いる変形リードソロモンエラー訂正システム - Google Patents

ＧＦ（２▲上ｗ＋ｉ▼）のシンボルの（ｗ＋ｉ＋１）ビット表現を用いる変形リードソロモンエラー訂正システム Download PDF

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JP3989558B2
JP3989558B2 JP53474898A JP53474898A JP3989558B2 JP 3989558 B2 JP3989558 B2 JP 3989558B2 JP 53474898 A JP53474898 A JP 53474898A JP 53474898 A JP53474898 A JP 53474898A JP 3989558 B2 JP3989558 B2 JP 3989558B2
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JP2000507434A (ja
JP2000507434A5 (enExample
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ウォン，リー―ジー
シェン，バー―ジョン
モー，シー
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Quantum Corp
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Quantum Corp
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    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03M—CODING; DECODING; CODE CONVERSION IN GENERAL
    • H03M13/00—Coding, decoding or code conversion, for error detection or error correction; Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of codes
    • H03M13/03—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words
    • H03M13/05—Error detection or forward error correction by redundancy in data representation, i.e. code words containing more digits than the source words using block codes, i.e. a predetermined number of check bits joined to a predetermined number of information bits
    • H03M13/13—Linear codes
    • H03M13/15—Cyclic codes, i.e. cyclic shifts of codewords produce other codewords, e.g. codes defined by a generator polynomial, Bose-Chaudhuri-Hocquenghem [BCH] codes
    • H03M13/151—Cyclic codes, i.e. cyclic shifts of codewords produce other codewords, e.g. codes defined by a generator polynomial, Bose-Chaudhuri-Hocquenghem [BCH] codes using error location or error correction polynomials

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  • Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Algebra (AREA)
  • General Physics & Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Probability & Statistics with Applications (AREA)
  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Error Detection And Correction (AREA)
  • Detection And Correction Of Errors (AREA)
JP53474898A 1997-01-23 1998-01-23 ＧＦ（２▲上ｗ＋ｉ▼）のシンボルの（ｗ＋ｉ＋１）ビット表現を用いる変形リードソロモンエラー訂正システム Expired - Fee Related JP3989558B2 (ja)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US08/786,894 1997-01-23
US08/786,894 US5948117A (en) 1997-01-23 1997-01-23 Modified Reed-Solomon error correction system using (W+i+1)-bit representations of symbols of GF(2w+i)
PCT/US1998/001356 WO1998035451A1 (en) 1997-01-23 1998-01-23 MODIFIED REED-SOLOMON ERROR CORRECTION SYSTEM USING (w+i+1)-BIT REPRESENTATIONS OF SYMBOLS OF GF(2w+i)

Publications (3)

Publication Number Publication Date
JP2000507434A JP2000507434A (ja) 2000-06-13
JP2000507434A5 JP2000507434A5 (enExample) 2005-07-14
JP3989558B2 true JP3989558B2 (ja) 2007-10-10

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JP53474898A Expired - Fee Related JP3989558B2 (ja) 1997-01-23 1998-01-23 ＧＦ（２▲上ｗ＋ｉ▼）のシンボルの（ｗ＋ｉ＋１）ビット表現を用いる変形リードソロモンエラー訂正システム

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US (1) US5948117A (enExample)
EP (1) EP0906665A4 (enExample)
JP (1) JP3989558B2 (enExample)
AU (1) AU5929998A (enExample)
WO (1) WO1998035451A1 (enExample)

Families Citing this family (18)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5889794A (en) * 1997-09-30 1999-03-30 Quantum Corporation Two-level error correction encoder
JP4088998B2 (ja) 1998-02-16 2008-05-21 ソニー株式会社 光ディスクの記録／再生方法、光ディスク及び光ディスク装置
US6148430A (en) * 1998-05-15 2000-11-14 Quantum Corporation Encoding apparatus for RAID-6 system and tape drives
JP3272317B2 (ja) * 1999-01-21 2002-04-08 インターナショナル・ビジネス・マシーンズ・コーポレーション 誤り検出装置およびその方法
US6360348B1 (en) * 1999-08-27 2002-03-19 Motorola, Inc. Method and apparatus for coding and decoding data
US6701336B1 (en) 1999-11-12 2004-03-02 Maxtor Corporation Shared galois field multiplier
US6779014B1 (en) * 2001-02-15 2004-08-17 Chung-Shan Institute Of Science & Technology Cyclic step by step decoding method used in discrete fourier transform cyclic code of a communication system
CN100399463C (zh) * 2002-09-24 2008-07-02 联发科技股份有限公司 数字激光视盘机的检错码检查装置与检查方法
US7162679B2 (en) * 2003-12-12 2007-01-09 Analog Devices, Inc. Methods and apparatus for coding and decoding data using Reed-Solomon codes
US7426676B2 (en) * 2004-01-14 2008-09-16 Broadcom Corporation Data retrieval from a storage device using a combined error correction and detection approach
US7228490B2 (en) * 2004-02-19 2007-06-05 Quantum Corporation Error correction decoder using cells with partial syndrome generation
TWI292866B (en) * 2005-09-09 2008-01-21 Via Tech Inc Method for calculatng an error detection code
US8286059B1 (en) 2007-01-08 2012-10-09 Marvell International Ltd. Word-serial cyclic code encoder
KR101437396B1 (ko) * 2008-02-27 2014-09-05 삼성전자주식회사 레이턴시를 줄일 수 있는 에러 정정 블록을 포함하는메모리 시스템 및 그것의 에러 정정 방법
US8365053B2 (en) * 2009-05-27 2013-01-29 International Business Machines Corporation Encoding and decoding data using store and exclusive or operations
US8607129B2 (en) * 2011-07-01 2013-12-10 Intel Corporation Efficient and scalable cyclic redundancy check circuit using Galois-field arithmetic
US8839083B2 (en) * 2011-10-25 2014-09-16 Taejin Info Tech Co., Ltd. Secure error detection and synchronous data tagging for high-speed data transfer
TWI742371B (zh) * 2019-05-13 2021-10-11 義守大學 應用單項跡之錯誤更正方法

Family Cites Families (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4413339A (en) * 1981-06-24 1983-11-01 Digital Equipment Corporation Multiple error detecting and correcting system employing Reed-Solomon codes
US4856003A (en) * 1987-05-07 1989-08-08 Digital Equipment Corporation Error correction code encoder

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Publication number Publication date
JP2000507434A (ja) 2000-06-13
US5948117A (en) 1999-09-07
EP0906665A4 (en) 2000-11-15
AU5929998A (en) 1998-08-26
EP0906665A1 (en) 1999-04-07
WO1998035451A1 (en) 1998-08-13

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