CN101729077B - 用于二进制数据的错误纠正和错误检测的方法 - Google Patents

用于二进制数据的错误纠正和错误检测的方法 Download PDF

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Publication number
CN101729077B
CN101729077B CN200910205192.9A CN200910205192A CN101729077B CN 101729077 B CN101729077 B CN 101729077B CN 200910205192 A CN200910205192 A CN 200910205192A CN 101729077 B CN101729077 B CN 101729077B
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vector
error
matrix
sub
symbol
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CN200910205192.9A
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Chinese (zh)
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CN101729077A (zh
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奥利弗·泰斯
陈晓明
马科·乔治
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THOMSON LICENSING CORP
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THOMSON LICENSING 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
    • H03M13/11—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 using multiple parity bits
    • H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • H03M13/1148—Structural properties of the code parity-check or generator matrix
    • H03M13/116—Quasi-cyclic LDPC [QC-LDPC] codes, i.e. the parity-check matrix being composed of permutation or circulant sub-matrices
    • H03M13/1162—Array based LDPC codes, e.g. array codes
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F11/00—Error detection; Error correction; Monitoring
    • G06F11/07—Responding to the occurrence of a fault, e.g. fault tolerance
    • G06F11/08—Error detection or correction by redundancy in data representation, e.g. by using checking codes
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • 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
    • H03M13/11—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 using multiple parity bits
    • H03M13/1102—Codes on graphs and decoding on graphs, e.g. low-density parity check [LDPC] codes
    • H03M13/1105—Decoding
    • 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
    • H03M13/17—Burst error correction, e.g. error trapping, Fire codes
    • 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
    • H03M13/29—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 combining two or more codes or code structures, e.g. product codes, generalised product codes, concatenated codes, inner and outer codes
    • H03M13/2906—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 combining two or more codes or code structures, e.g. product codes, generalised product codes, concatenated codes, inner and outer codes using block codes
    • 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
    • H03M13/37—Decoding methods or techniques, not specific to the particular type of coding provided for in groups H03M13/03 - H03M13/35
    • H03M13/43—Majority logic or threshold decoding

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  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • Probability & Statistics with Applications (AREA)
  • Mathematical Physics (AREA)
  • General Physics & Mathematics (AREA)
  • General Engineering & Computer Science (AREA)
  • Computing Systems (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Quality & Reliability (AREA)
  • Mathematical Analysis (AREA)
  • Computational Mathematics (AREA)
  • Error Detection And Correction (AREA)
  • Detection And Correction Of Errors (AREA)
CN200910205192.9A 2008-10-16 2009-10-16 用于二进制数据的错误纠正和错误检测的方法 Expired - Fee Related CN101729077B (zh)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
EP08305690A EP2178215A1 (en) 2008-10-16 2008-10-16 Method for error correction and error detection of modified array codes
EP08305690.3 2008-10-16

Publications (2)

Publication Number Publication Date
CN101729077A CN101729077A (zh) 2010-06-09
CN101729077B true CN101729077B (zh) 2014-03-12

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Country Link
US (1) US8245106B2 (https=)
EP (2) EP2178215A1 (https=)
JP (1) JP5543170B2 (https=)
KR (1) KR101562606B1 (https=)
CN (1) CN101729077B (https=)
TW (1) TWI492548B (https=)

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CN102325003B (zh) * 2011-07-14 2014-02-12 海能达通信股份有限公司 数据错误检测的方法及设备
DE102014118531B4 (de) * 2014-12-12 2016-08-25 Infineon Technologies Ag Verfahren und Datenverarbeitungseinrichtung zum Ermitteln eines Fehlervektors in einem Datenwort
US10552243B2 (en) 2017-10-12 2020-02-04 International Business Machines Corporation Corrupt logical block addressing recovery scheme
CN112003626B (zh) * 2020-08-31 2023-11-10 武汉梦芯科技有限公司 一种基于导航电文已知比特的ldpc译码方法、系统和介质
CN114765055B (zh) * 2021-01-14 2024-05-03 长鑫存储技术有限公司 纠错系统
KR20240128282A (ko) 2023-02-17 2024-08-26 삼성전자주식회사 메모리 컨트롤러 및 메모리 시스템
US12273124B2 (en) * 2023-08-23 2025-04-08 Sk Hynix Nand Product Solutions Corp. Systems and methods for irregular error correction code construction in order of weights

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US5271012A (en) * 1991-02-11 1993-12-14 International Business Machines Corporation Method and means for encoding and rebuilding data contents of up to two unavailable DASDs in an array of DASDs
US5351246A (en) * 1991-06-21 1994-09-27 International Business Machines Corporation Method and means for coding and rebuilding that data contents of unavailable DASDs or rebuilding the contents of DASDs in error in the presence of reduced number of unavailable DASDs in a DASD array
US5644695A (en) * 1994-01-03 1997-07-01 International Business Machines Corporation Array combinatorial decoding with multiple error and erasure detection and location using cyclic equivalence testing
CN101199123A (zh) * 2005-06-25 2008-06-11 三星电子株式会社 用于低密度奇偶校验编码的方法和装置

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US4556977A (en) 1983-09-15 1985-12-03 International Business Machines Corporation Decoding of BCH double error correction - triple error detection (DEC-TED) codes
JP3451221B2 (ja) * 1999-07-22 2003-09-29 日本無線株式会社 誤り訂正符号化装置、方法及び媒体、並びに誤り訂正符号復号装置、方法及び媒体
US6961888B2 (en) * 2002-08-20 2005-11-01 Flarion Technologies, Inc. Methods and apparatus for encoding LDPC codes
KR100996029B1 (ko) * 2003-04-29 2010-11-22 삼성전자주식회사 저밀도 패리티 검사 코드의 부호화 장치 및 방법
US7234098B2 (en) * 2003-10-27 2007-06-19 The Directv Group, Inc. Method and apparatus for providing reduced memory low density parity check (LDPC) codes
US7543212B2 (en) * 2004-09-13 2009-06-02 Idaho Research Foundation, Inc. Low-density parity-check (LDPC) encoder
KR100734262B1 (ko) 2004-12-07 2007-07-02 삼성전자주식회사 광 저장 매체의 최적화된 결함 처리를 위한 결함 판단 장치
JP4662367B2 (ja) * 2006-04-18 2011-03-30 共同印刷株式会社 情報シンボルの符号化方法及びその装置並びに情報シンボルの復号化方法及び復号化装置
US7831895B2 (en) * 2006-07-25 2010-11-09 Communications Coding Corporation Universal error control coding system for digital communication and data storage systems
US8065598B1 (en) * 2007-02-08 2011-11-22 Marvell International Ltd. Low latency programmable encoder with outer systematic code and low-density parity-check code
US8020063B2 (en) * 2007-07-26 2011-09-13 Harris Corporation High rate, long block length, low density parity check encoder

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5271012A (en) * 1991-02-11 1993-12-14 International Business Machines Corporation Method and means for encoding and rebuilding data contents of up to two unavailable DASDs in an array of DASDs
US5351246A (en) * 1991-06-21 1994-09-27 International Business Machines Corporation Method and means for coding and rebuilding that data contents of unavailable DASDs or rebuilding the contents of DASDs in error in the presence of reduced number of unavailable DASDs in a DASD array
US5644695A (en) * 1994-01-03 1997-07-01 International Business Machines Corporation Array combinatorial decoding with multiple error and erasure detection and location using cyclic equivalence testing
CN101199123A (zh) * 2005-06-25 2008-06-11 三星电子株式会社 用于低密度奇偶校验编码的方法和装置

Also Published As

Publication number Publication date
US8245106B2 (en) 2012-08-14
KR20100042589A (ko) 2010-04-26
EP2178216A1 (en) 2010-04-21
JP5543170B2 (ja) 2014-07-09
TW201018096A (en) 2010-05-01
TWI492548B (zh) 2015-07-11
EP2178215A1 (en) 2010-04-21
JP2010098735A (ja) 2010-04-30
CN101729077A (zh) 2010-06-09
KR101562606B1 (ko) 2015-10-23
US20100269025A1 (en) 2010-10-21

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