DE69919199D1 - Vorwärtsfehlerkorrektur - Google Patents

Vorwärtsfehlerkorrektur

Info

Publication number
DE69919199D1
DE69919199D1 DE69919199T DE69919199T DE69919199D1 DE 69919199 D1 DE69919199 D1 DE 69919199D1 DE 69919199 T DE69919199 T DE 69919199T DE 69919199 T DE69919199 T DE 69919199T DE 69919199 D1 DE69919199 D1 DE 69919199D1
Authority
DE
Germany
Prior art keywords
message
uncorrectable
error correction
forward error
detected
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Lifetime
Application number
DE69919199T
Other languages
English (en)
Other versions
DE69919199T2 (de
Inventor
B Cameron
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Broadcom Corp
Original Assignee
Broadcom Corp
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Broadcom Corp filed Critical Broadcom Corp
Publication of DE69919199D1 publication Critical patent/DE69919199D1/de
Application granted granted Critical
Publication of DE69919199T2 publication Critical patent/DE69919199T2/de
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

Classifications

    • 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
    • H03M13/1525—Determination and particular use of error location polynomials
    • H03M13/153—Determination and particular use of error location polynomials using the Berlekamp-Massey algorithm
    • 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
    • H03M13/1525—Determination and particular use of error location polynomials
    • 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
    • H03M13/3746—Decoding methods or techniques, not specific to the particular type of coding provided for in groups H03M13/03 - H03M13/35 with iterative decoding

Landscapes

  • Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Probability & Statistics with Applications (AREA)
  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Algebra (AREA)
  • Pure & Applied Mathematics (AREA)
  • Error Detection And Correction (AREA)
  • Detection And Correction Of Errors (AREA)
  • Optical Communication System (AREA)
  • Ticket-Dispensing Machines (AREA)
  • Amplifiers (AREA)
DE69919199T 1998-11-09 1999-11-09 Vorwärtsfehlerkorrektur Expired - Lifetime DE69919199T2 (de)

Applications Claiming Priority (3)

Application Number Priority Date Filing Date Title
US10787998P 1998-11-09 1998-11-09
US107879P 1998-11-09
PCT/US1999/026554 WO2000028668A1 (en) 1998-11-09 1999-11-09 Forward error corrector

Publications (2)

Publication Number Publication Date
DE69919199D1 true DE69919199D1 (de) 2004-09-09
DE69919199T2 DE69919199T2 (de) 2005-09-15

Family

ID=22318952

Family Applications (1)

Application Number Title Priority Date Filing Date
DE69919199T Expired - Lifetime DE69919199T2 (de) 1998-11-09 1999-11-09 Vorwärtsfehlerkorrektur

Country Status (6)

Country Link
US (4) US6317858B1 (de)
EP (1) EP1131893B1 (de)
AT (1) ATE272914T1 (de)
AU (1) AU1615100A (de)
DE (1) DE69919199T2 (de)
WO (1) WO2000028668A1 (de)

Families Citing this family (43)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6449746B1 (en) * 1998-08-17 2002-09-10 T. K. Truong Decoding method for correcting both erasures and errors of reed-solomon codes
EP1131893B1 (de) * 1998-11-09 2004-08-04 Broadcom Corporation Vorwärtsfehlerkorrektur
KR100493014B1 (ko) * 1999-03-24 2005-06-07 삼성전자주식회사 비씨에이치/리드-솔로몬 디코더용 2중 패러랠 데이터패스를 갖는 갈로아필드 프로세서
US6560747B1 (en) * 1999-11-10 2003-05-06 Maxtor Corporation Error counting mechanism
US6934387B1 (en) 1999-12-17 2005-08-23 Marvell International Ltd. Method and apparatus for digital near-end echo/near-end crosstalk cancellation with adaptive correlation
US6816505B1 (en) 2000-02-09 2004-11-09 Marvell International Ltd. Chip-to-chip interface for 1000 BASE T gigabit physical layer device
US6631172B1 (en) * 2000-05-01 2003-10-07 Lucent Technologies Inc. Efficient list decoding of Reed-Solomon codes for message recovery in the presence of high noise levels
USRE41831E1 (en) 2000-05-23 2010-10-19 Marvell International Ltd. Class B driver
US7606547B1 (en) 2000-07-31 2009-10-20 Marvell International Ltd. Active resistance summer for a transformer hybrid
US7570657B1 (en) 2000-12-15 2009-08-04 Marvell International Ltd. Autonegotiation between 1000Base-X and 1000Base-T
JP3606569B2 (ja) * 2001-03-09 2005-01-05 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 復号回路、該復号回路を用いる復号装置、復号方法および半導体デバイス
US6983414B1 (en) 2001-03-30 2006-01-03 Cisco Technology, Inc. Error insertion circuit for SONET forward error correction
US7003715B1 (en) * 2001-03-30 2006-02-21 Cisco Technology, Inc. Galois field multiply accumulator
US7447982B1 (en) 2001-03-30 2008-11-04 Cisco Technology, Inc. BCH forward error correction decoder
US7124064B1 (en) 2001-03-30 2006-10-17 Cisco Technology, Inc. Automatic generation of hardware description language code for complex polynomial functions
US20030192007A1 (en) * 2001-04-19 2003-10-09 Miller David H. Code-programmable field-programmable architecturally-systolic Reed-Solomon BCH error correction decoder integrated circuit and error correction decoding method
TW566008B (en) * 2001-11-28 2003-12-11 Univ Nat Chiao Tung Apparatus for solving key equation polynomials in decoding error correction codes
FR2834146A1 (fr) * 2001-12-20 2003-06-27 St Microelectronics Sa Turbo-decodeur compact a haute efficacite
US7051267B1 (en) * 2002-04-08 2006-05-23 Marvell International Ltd. Efficient high-speed Reed-Solomon decoder
US7010739B1 (en) * 2002-04-11 2006-03-07 Marvell International Ltd. Error evaluator for inversionless Berlekamp-Massey algorithm in Reed-Solomon decoders
US7032162B1 (en) * 2002-04-25 2006-04-18 Lattice Semiconductor Corporation Polynomial expander for generating coefficients of a polynomial from roots of the polynomial
JP2003346432A (ja) * 2002-05-22 2003-12-05 Internatl Business Mach Corp <Ibm> データ記憶装置およびデータ処理方法
WO2004093325A1 (en) * 2003-04-16 2004-10-28 Optix Networks, Ltd. An enhanced circuit for performing error correction and detection of bch codewords
US7693927B2 (en) 2003-08-25 2010-04-06 Jennic Limited Data processing system and method
US8645803B2 (en) 2010-05-10 2014-02-04 Ternarylogic Llc Methods and systems for rapid error correction by forward and reverse determination of coding states
US7644338B2 (en) 2005-09-13 2010-01-05 Samsung Electronics Co., Ltd. Method of detecting and correcting a prescribed set of error events based on error detecting code
US7716562B1 (en) * 2005-10-18 2010-05-11 Link—A—Media Devices Corporation Reduced processing in high-speed reed-solomon decoding
US7613988B1 (en) * 2005-10-18 2009-11-03 Link—A—Media Devices Corporation Degree limited polynomial in Reed-Solomon decoding
US9203438B2 (en) * 2006-07-12 2015-12-01 Ternarylogic Llc Error correction by symbol reconstruction in binary and multi-valued cyclic codes
TWI326988B (en) * 2007-03-28 2010-07-01 Ind Tech Res Inst Rs decoder and ibma method and parallel-to-serial conversion method thereof
US8201060B2 (en) * 2007-07-11 2012-06-12 Ternarylocig LLC Methods and systems for rapid error correction of Reed-Solomon codes
KR101493999B1 (ko) * 2007-09-06 2015-02-17 삼성전자주식회사 선형 부호 생성 장치 및 방법
JP5264913B2 (ja) * 2007-09-11 2013-08-14 ヴォイスエイジ・コーポレーション 話声およびオーディオの符号化における、代数符号帳の高速検索のための方法および装置
JP4672743B2 (ja) * 2008-03-01 2011-04-20 株式会社東芝 誤り訂正装置および誤り訂正方法
US8627169B2 (en) * 2008-06-20 2014-01-07 Cadence Design Systems, Inc. Method and apparatus for dynamically configurable multi level error correction
US8156411B2 (en) * 2008-11-06 2012-04-10 Freescale Semiconductor, Inc. Error correction of an encoded message
US20100174970A1 (en) * 2009-01-05 2010-07-08 Horizon Semiconductors Ltd. Efficient implementation of a key-equation solver for bch codes
US8296634B2 (en) * 2010-02-27 2012-10-23 I Shou University Error correction decoder, error correction value generator, and error correction system
US8433985B2 (en) * 2010-03-29 2013-04-30 Intel Corporation Error correction mechanisms for flash memories
KR101678917B1 (ko) * 2010-09-16 2016-11-24 삼성전자주식회사 디코더, 이의 동작방법, 및 이를 포함하는 장치들
US8612834B2 (en) * 2011-03-08 2013-12-17 Intel Corporation Apparatus, system, and method for decoding linear block codes in a memory controller
DE112011102474B4 (de) * 2011-10-13 2021-08-12 Hyperstone Gmbh Hybride Dekodierung von BCH-Kodes für nichtflüchtige Speicher
US20240322843A1 (en) * 2023-03-20 2024-09-26 Microchip Technology Incorporated Determining berlekamp discrepancy values

Family Cites Families (23)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5099482A (en) 1989-08-30 1992-03-24 Idaho Research Foundation, Inc. Apparatus for detecting uncorrectable error patterns when using Euclid's algorithm to decode Reed-Solomon (BCH) codes
US5170399A (en) 1989-08-30 1992-12-08 Idaho Research Foundation, Inc. Reed-Solomon Euclid algorithm decoder having a process configurable Euclid stack
US5239995A (en) * 1989-09-22 1993-08-31 Respironics, Inc. Sleep apnea treatment apparatus
US5592404A (en) * 1993-11-04 1997-01-07 Cirrus Logic, Inc. Versatile error correction system
WO1995012850A1 (en) * 1993-11-04 1995-05-11 Cirrus Logic, Inc. Reed-solomon decoder
US5649547A (en) 1994-03-24 1997-07-22 Biopsys Medical, Inc. Methods and devices for automated biopsy and collection of soft tissue
US5689452A (en) 1994-10-31 1997-11-18 University Of New Mexico Method and apparatus for performing arithmetic in large galois field GF(2n)
US5640286A (en) * 1995-05-08 1997-06-17 Western Digital Corporation Disk drive with error code embedded sector identification
US5727003A (en) * 1995-07-03 1998-03-10 Cirrus Logic, Inc. Method and apparatus for flash burst error correction
FR2743912B1 (fr) 1996-01-24 1998-04-10 Matra Communication Circuit de resolution d'equation-cle et decodeur reed-solomon incorporant un tel circuit
US5971607A (en) 1996-05-10 1999-10-26 Daewoo Electronics Co., Ltd. Polynomial evaluator for use in a Reed-Solomon decoder
KR100192795B1 (ko) * 1996-05-14 1999-06-15 전주범 리드 솔로몬 복호기의 에러 위치 다항식 계산 장치
KR100195739B1 (ko) 1996-07-01 1999-06-15 전주범 리드솔로몬 복호기의 에러 위치 다항식 평가 장치
US5844919A (en) * 1996-09-16 1998-12-01 Cirrus Logic, Inc. Sector and track level error correction system for disc storage systems
KR100213254B1 (ko) 1996-10-18 1999-08-02 윤종용 에러 정정 방법 및 장치
US5970075A (en) 1997-06-18 1999-10-19 Uniden San Diego Research And Development Center Inc. Method and apparatus for generating an error location polynomial table
WO1999009694A2 (en) * 1997-08-13 1999-02-25 Truong T K Reed-solomon decoder and vlsi implementation thereof
US6119262A (en) * 1997-08-19 2000-09-12 Chuen-Shen Bernard Shung Method and apparatus for solving key equation polynomials in decoding error correction codes
US5974582A (en) 1997-10-14 1999-10-26 Lsi Logic Corporation High-speed chien search logic
US5978956A (en) 1997-12-03 1999-11-02 Quantum Corporation Five-error correction system
US5964826A (en) 1998-01-13 1999-10-12 National Science Council Division circuits based on power-sum circuit for finite field GF(2m)
US6092233A (en) * 1998-03-20 2000-07-18 Adaptec, Inc. Pipelined Berlekamp-Massey error locator polynomial generating apparatus and method
EP1131893B1 (de) * 1998-11-09 2004-08-04 Broadcom Corporation Vorwärtsfehlerkorrektur

Also Published As

Publication number Publication date
US7080310B2 (en) 2006-07-18
EP1131893B1 (de) 2004-08-04
DE69919199T2 (de) 2005-09-15
US20040123225A1 (en) 2004-06-24
US6539516B2 (en) 2003-03-25
US6684364B2 (en) 2004-01-27
WO2000028668A1 (en) 2000-05-18
US20020056067A1 (en) 2002-05-09
ATE272914T1 (de) 2004-08-15
AU1615100A (en) 2000-05-29
EP1131893A1 (de) 2001-09-12
US20030145271A1 (en) 2003-07-31
US6317858B1 (en) 2001-11-13

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Legal Events

Date Code Title Description
8364 No opposition during term of opposition
8328 Change in the person/name/address of the agent

Representative=s name: BOSCH JEHLE PATENTANWALTSGESELLSCHAFT MBH, 80639 M