TWI492548B - 二元資料之改錯和偵錯方法 - Google Patents

二元資料之改錯和偵錯方法 Download PDF

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Publication number
TWI492548B
TWI492548B TW098132378A TW98132378A TWI492548B TW I492548 B TWI492548 B TW I492548B TW 098132378 A TW098132378 A TW 098132378A TW 98132378 A TW98132378 A TW 98132378A TW I492548 B TWI492548 B TW I492548B
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TW
Taiwan
Prior art keywords
matrix
vector
error
sub
symbol
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TW098132378A
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English (en)
Chinese (zh)
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TW201018096A (en
Inventor
Oliver Theis
Xiao-Ming Chen
Marco Georgi
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Thomson Licensing
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Publication of TW201018096A publication Critical patent/TW201018096A/zh
Application granted granted Critical
Publication of TWI492548B publication Critical patent/TWI492548B/zh

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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)
TW098132378A 2008-10-16 2009-09-25 二元資料之改錯和偵錯方法 TWI492548B (zh)

Applications Claiming Priority (1)

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

Publications (2)

Publication Number Publication Date
TW201018096A TW201018096A (en) 2010-05-01
TWI492548B true TWI492548B (zh) 2015-07-11

Family

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Family Applications (1)

Application Number Title Priority Date Filing Date
TW098132378A TWI492548B (zh) 2008-10-16 2009-09-25 二元資料之改錯和偵錯方法

Country Status (6)

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

Citations (2)

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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
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

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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
EP0519669A3 (en) 1991-06-21 1994-07-06 Ibm Encoding and rebuilding data for a dasd array
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
KR20060135451A (ko) * 2005-06-25 2006-12-29 삼성전자주식회사 저밀도 패리티 검사 행렬 부호화 방법 및 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
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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
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

Non-Patent Citations (1)

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HACHIRO FUJITA ET AL: "Modified Low-Density MDS Array Codes for Tolerating Double Disk Failures in Disk Arrays" IEEE TRANSACTIONS ON COMPUTERS, IEEE SERVICE CENTER, LOS ALAMITOS, CA, US, vol. 56, no. 4, 1 April 2007 (2007-04-01), pages 563-566 MARIO BLAUM ET AL: "MDS Array Codes with Independent Parity Symbols" IEEE TRANSACTIONS ON INFORMATION THEORY, IEEE, US, vol. 42, no. 2, 1 March 1996 *

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
CN101729077B (zh) 2014-03-12
TW201018096A (en) 2010-05-01
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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