ATE272914T1 - Vorwärtsfehlerkorrektur - Google Patents

Vorwärtsfehlerkorrektur

Info

Publication number
ATE272914T1
ATE272914T1 AT99958873T AT99958873T ATE272914T1 AT E272914 T1 ATE272914 T1 AT E272914T1 AT 99958873 T AT99958873 T AT 99958873T AT 99958873 T AT99958873 T AT 99958873T AT E272914 T1 ATE272914 T1 AT E272914T1
Authority
AT
Austria
Prior art keywords
message
uncorrectable
error correction
forward error
detected
Prior art date
Application number
AT99958873T
Other languages
English (en)
Inventor
Kelly B Cameron
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
Application granted granted Critical
Publication of ATE272914T1 publication Critical patent/ATE272914T1/de

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)
  • Theoretical Computer Science (AREA)
  • Engineering & Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Algebra (AREA)
  • Error Detection And Correction (AREA)
  • Detection And Correction Of Errors (AREA)
  • Ticket-Dispensing Machines (AREA)
  • Optical Communication System (AREA)
  • Amplifiers (AREA)
AT99958873T 1998-11-09 1999-11-09 Vorwärtsfehlerkorrektur ATE272914T1 (de)

Applications Claiming Priority (2)

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

Publications (1)

Publication Number Publication Date
ATE272914T1 true ATE272914T1 (de) 2004-08-15

Family

ID=22318952

Family Applications (1)

Application Number Title Priority Date Filing Date
AT99958873T ATE272914T1 (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 (42)

* 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
AU1615100A (en) 1998-11-09 2000-05-29 Broadcom Corporation Forward error corrector
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
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
US7003715B1 (en) * 2001-03-30 2006-02-21 Cisco Technology, Inc. Galois field multiply accumulator
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
AU2003222417A1 (en) * 2003-04-16 2004-11-04 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
US8566106B2 (en) * 2007-09-11 2013-10-22 Voiceage Corporation Method and device for fast algebraic codebook search in speech and audio coding
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

Family Cites Families (23)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5170399A (en) 1989-08-30 1992-12-08 Idaho Research Foundation, Inc. Reed-Solomon Euclid algorithm decoder having a process configurable Euclid stack
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
US5239995A (en) * 1989-09-22 1993-08-31 Respironics, Inc. Sleep apnea treatment apparatus
JPH09507117A (ja) * 1993-11-04 1997-07-15 シーラス ロジック，インコーポレイテッド リードソロモン復号化器
US5592404A (en) 1993-11-04 1997-01-07 Cirrus Logic, Inc. Versatile error correction system
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
AU1615100A (en) * 1998-11-09 2000-05-29 Broadcom Corporation Forward error corrector

Also Published As

Publication number Publication date
US6684364B2 (en) 2004-01-27
WO2000028668A1 (en) 2000-05-18
US20040123225A1 (en) 2004-06-24
AU1615100A (en) 2000-05-29
EP1131893B1 (de) 2004-08-04
US7080310B2 (en) 2006-07-18
US20020056067A1 (en) 2002-05-09
US6539516B2 (en) 2003-03-25
EP1131893A1 (de) 2001-09-12
DE69919199T2 (de) 2005-09-15
US20030145271A1 (en) 2003-07-31
US6317858B1 (en) 2001-11-13
DE69919199D1 (de) 2004-09-09

Similar Documents

Publication Publication Date Title
DE69919199D1 (de) Vorwärtsfehlerkorrektur
SG150694G (en) On-the-fly multibyte error correction
DE3368134D1 (en) System for the detection and correction of transmission errors in a binary message using an error detecting and correcting interleaved reed-solomon cyclic code
EP0364172A3 (de) Fehlererkennung und Fehlerkorrektur für ein Datenspeicherungssystem
DK1528686T3 (da) Fremgangsmåde og apparat til kodning af Low Parity Check koders (LDPC-koder) lange og korte bloklængder
KR870007610A (ko) 에러 정정 코드 발생기 및 그 발생 방법과 소산 코드 디코더 및 그 디코딩 방법
JPH0389631A (ja) 符号語の復号方法および装置
SE8104418L (sv) Sett for felkorrigering
ATE540497T1 (de) Fehlerschutzverfahren und vorrichtung für über- funk-dateiübertragung
IT1261434B (it) Sistema di rivelazione di errori per radio ricevitori.
ATE64672T1 (de) Schneller decoder fuer reed-solomon-codes, auch als coder verwendbar und aufzeichnungs- und wiedergabegeraet, das einen solchen coder und decoder enthaelt.
EP0290349A3 (de) Kodierverfahren und Kodierer mit Reed-Solomon Fehlerkorrekturcode
EP1267494A3 (de) Bündelfehlermuster- Erzeugungsverfahren, sowie Bündel und Byte- Fehlererkennung und Korrektur
KR960003123A (ko) 에러정정장치 및 방법
AU5571499A (en) Decoding method for correcting both erasures and errors of reed-solomon codes
TW200508851A (en) A method, system, and apparatus for adjacent-symbol error correction and detection code
JPS55131860A (en) Error correction unit
DE69429525T2 (de) Programmierbarer redundanz/syndromgenerator
TW341674B (en) Error correcting method and device
EP1102406A3 (de) Digitaler Datendekodierapparat und Verfahren
JPS5552515A (en) Pcm signal processor
US20060085721A1 (en) Method of detecting error event in codeword reproduced by perpendicular magnetic recording medium and apparatus using the same
JPS5457849A (en) Detecting correction system for error
KR900019400A (ko) 복합 과오 정정 bch 복호(復號) 회로
JPH08111647A (ja) 単一誤り訂正および多重誤り検出ｂｃｈ符号の復号装置

Legal Events

Date Code Title Description
RER Ceased as to paragraph 5 lit. 3 law introducing patent treaties