DE69332070D1 - Steuerschaltung für Galois-Feld - Google Patents

Steuerschaltung für Galois-Feld

Info

Publication number
DE69332070D1
DE69332070D1 DE69332070T DE69332070T DE69332070D1 DE 69332070 D1 DE69332070 D1 DE 69332070D1 DE 69332070 T DE69332070 T DE 69332070T DE 69332070 T DE69332070 T DE 69332070T DE 69332070 D1 DE69332070 D1 DE 69332070D1
Authority
DE
Germany
Prior art keywords
operational result
galois field
result
outputting
operational
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 - Fee Related
Application number
DE69332070T
Other languages
English (en)
Other versions
DE69332070T2 (de
Inventor
Tetsuo Iwaki
Toshihisa Tanaka
Eiji Yamada
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.)
Sharp Corp
Original Assignee
Sharp 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
Priority claimed from JP4107015A external-priority patent/JP2934351B2/ja
Priority claimed from JP4112596A external-priority patent/JPH05308293A/ja
Priority claimed from JP11892092A external-priority patent/JPH05315973A/ja
Priority claimed from JP11891992A external-priority patent/JP2945539B2/ja
Priority claimed from JP11891892A external-priority patent/JP2999881B2/ja
Priority claimed from JP19724492A external-priority patent/JP2948026B2/ja
Application filed by Sharp Corp filed Critical Sharp Corp
Publication of DE69332070D1 publication Critical patent/DE69332070D1/de
Application granted granted Critical
Publication of DE69332070T2 publication Critical patent/DE69332070T2/de
Anticipated expiration legal-status Critical
Expired - Fee Related legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR 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
    • G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
    • G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
    • G06F7/724—Finite field arithmetic
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR 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
    • G06F11/10—Adding special bits or symbols to the coded information, e.g. parity check, casting out 9's or 11's
    • 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
    • H03M13/01—Coding theory basic assumptions; Coding bounds; Error probability evaluation methods; Channel models; Simulation or testing of 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
    • H03M13/03—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

Landscapes

  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Theoretical Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Probability & Statistics with Applications (AREA)
  • Mathematical Physics (AREA)
  • General Engineering & Computer Science (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Algebra (AREA)
  • Quality & Reliability (AREA)
  • Computing Systems (AREA)
  • Error Detection And Correction (AREA)
DE69332070T 1992-04-24 1993-04-23 Steuerschaltung für Galois-Feld Expired - Fee Related DE69332070T2 (de)

Applications Claiming Priority (6)

Application Number Priority Date Filing Date Title
JP4107015A JP2934351B2 (ja) 1992-04-24 1992-04-24 ガロア体演算回路
JP4112596A JPH05308293A (ja) 1992-05-01 1992-05-01 誤り訂正回路
JP11892092A JPH05315973A (ja) 1992-05-12 1992-05-12 誤り訂正回路
JP11891992A JP2945539B2 (ja) 1992-05-12 1992-05-12 誤り訂正結果の検算回路
JP11891892A JP2999881B2 (ja) 1992-05-12 1992-05-12 リードソロモン符号の復号装置
JP19724492A JP2948026B2 (ja) 1992-07-23 1992-07-23 リードソロモン符号の復号方法

Publications (2)

Publication Number Publication Date
DE69332070D1 true DE69332070D1 (de) 2002-08-08
DE69332070T2 DE69332070T2 (de) 2003-05-08

Family

ID=27552260

Family Applications (1)

Application Number Title Priority Date Filing Date
DE69332070T Expired - Fee Related DE69332070T2 (de) 1992-04-24 1993-04-23 Steuerschaltung für Galois-Feld

Country Status (3)

Country Link
US (1) US5414719A (de)
EP (1) EP0567148B1 (de)
DE (1) DE69332070T2 (de)

Families Citing this family (41)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
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
KR970004515B1 (ko) * 1993-12-29 1997-03-28 삼성전자 주식회사 리드-솔로몬 복호기의 오류위치다항식 연산방법 및 장치
US5812438A (en) * 1995-10-12 1998-09-22 Adaptec, Inc. Arithmetic logic unit and method for numerical computations in galois fields
FR2743912B1 (fr) * 1996-01-24 1998-04-10 Matra Communication Circuit de resolution d'equation-cle et decodeur reed-solomon incorporant un tel circuit
US5768168A (en) * 1996-05-30 1998-06-16 Lg Semicon Co., Ltd. Universal galois field multiplier
US6038581A (en) * 1997-01-29 2000-03-14 Nippon Telegraph And Telephone Corporation Scheme for arithmetic operations in finite field and group operations over elliptic curves realizing improved computational speed
JP3850511B2 (ja) * 1997-05-07 2006-11-29 日本テキサス・インスツルメンツ株式会社 リードソロモン復号装置
US6510228B2 (en) * 1997-09-22 2003-01-21 Qualcomm, Incorporated Method and apparatus for generating encryption stream ciphers
US6252958B1 (en) * 1997-09-22 2001-06-26 Qualcomm Incorporated Method and apparatus for generating encryption stream ciphers
JPH11196006A (ja) * 1997-12-26 1999-07-21 Nec Corp 並列処理シンドロ−ム計算回路及びリ−ド・ソロモン複合化回路
US6389442B1 (en) 1997-12-30 2002-05-14 Rsa Security Inc. Efficient finite field multiplication in normal basis
US6047395A (en) * 1998-01-30 2000-04-04 Cirrus Logic, Inc. Error correction processor for correcting a multi-dimensional code by generating an erasure polynomial over one dimension for correcting multiple codewords in another dimension
US6209114B1 (en) * 1998-05-29 2001-03-27 Texas Instruments Incorporated Efficient hardware implementation of chien search polynomial reduction in reed-solomon decoding
US6412090B1 (en) * 1998-06-18 2002-06-25 Globespanvirata, Inc. Galois field computation system and method
US6192497B1 (en) * 1998-08-27 2001-02-20 Adaptec, Inc. Parallel Chien search circuit
US6490357B1 (en) * 1998-08-28 2002-12-03 Qualcomm Incorporated Method and apparatus for generating encryption stream ciphers
US6560338B1 (en) 1998-08-28 2003-05-06 Qualcomm Incorporated Limiting delays associated with the generation of encryption stream ciphers
US6553537B1 (en) 1998-12-11 2003-04-22 Matsushita Electric Industrial Co., Ltd. Reed-Solomon decoding apparatus and control method therefor
TW441195B (en) * 1999-07-16 2001-06-16 Via Tech Inc Signal decoding method
US20080282128A1 (en) * 1999-08-04 2008-11-13 Super Talent Electronics, Inc. Method of Error Correction Code on Solid State Disk to Gain Data Security and Higher Performance
US6691042B2 (en) * 2001-07-02 2004-02-10 Rosetta Inpharmatics Llc Methods for generating differential profiles by combining data obtained in separate measurements
US6920600B2 (en) * 2002-01-23 2005-07-19 Thomson Licensing S.A. Dual chien search blocks in an error-correcting decoder
GB2399896A (en) * 2002-07-31 2004-09-29 Hewlett Packard Co Identifying uncorrectable codewords in a reed-solomon decoder handling errors and erasures
US7103830B1 (en) 2002-12-18 2006-09-05 Applied Micro Circuits Corporation DC balanced error correction coding
FR2853424B1 (fr) * 2003-04-04 2005-10-21 Atmel Corp Architecture de multiplicateurs polynomial et naturel combines
JP4237757B2 (ja) * 2003-08-29 2009-03-11 パナソニック株式会社 誤り検出装置、及び誤り検出方法
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
JP2005151056A (ja) * 2003-11-13 2005-06-09 Oki Electric Ind Co Ltd デスクランブル回路
CN1987975A (zh) * 2005-12-22 2007-06-27 群康科技(深圳)有限公司 液晶显示面板电压调整电路
US9203436B2 (en) * 2006-07-12 2015-12-01 Ternarylogic Llc Error correction in multi-valued (p,k) codes
US8103943B2 (en) * 2006-08-10 2012-01-24 Ternarylogic Llc Symbol reconstruction in Reed-Solomon codes
US9203438B2 (en) * 2006-07-12 2015-12-01 Ternarylogic Llc Error correction by symbol reconstruction in binary and multi-valued cyclic codes
US8201060B2 (en) * 2007-07-11 2012-06-12 Ternarylocig LLC Methods and systems for rapid error correction of Reed-Solomon codes
US9152493B2 (en) * 2012-09-12 2015-10-06 Samsung Electronics Co., Ltd. Error check and correction circuit and semiconductor memory
US9384083B2 (en) * 2012-09-24 2016-07-05 Samsung Electronics Co., Ltd. Error location search circuit, and error check and correction circuit and memory device including the same
US9396116B2 (en) * 2013-11-26 2016-07-19 Globalfoundries Inc. Write and read collision avoidance in single port memory devices
US9413391B2 (en) * 2014-04-18 2016-08-09 Kabushiki Kaisha Toshiba Chien search device, storage device, and chien search method
US9379739B2 (en) * 2014-08-11 2016-06-28 Qualcomm Incorporated Devices and methods for data recovery of control channels in wireless communications
KR102149674B1 (ko) * 2014-10-13 2020-09-01 삼성전자주식회사 에러 정정 디코더 및 에러 정정 디코더의 동작 방법
KR102324769B1 (ko) * 2015-06-29 2021-11-10 삼성전자주식회사 반도체 메모리 장치의 에러 정정 회로, 반도체 메모리 장치 및 이를 포함하는 메모리 시스템
US11962327B2 (en) * 2022-01-13 2024-04-16 Micron Technology, Inc. Iterative decoding technique for correcting DRAM device failures

Family Cites Families (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2533091A1 (fr) * 1982-09-13 1984-03-16 Cii Honeywell Bull Systeme de detection et de correction d'erreurs de transmission d'un message binaire utilisant un code cyclique detecteur et correcteur d'erreurs de type reed-solomon entrelace
JPS60206390A (ja) * 1984-03-30 1985-10-17 Pioneer Electronic Corp デイジタルデ−タエラ−ブロツク検出表示装置
US4597083A (en) * 1984-04-06 1986-06-24 Ampex Corporation Error detection and correction in digital communication systems
US4797848A (en) * 1986-04-18 1989-01-10 Hughes Aircraft Company Pipelined bit-serial Galois Field multiplier
JP2751201B2 (ja) * 1988-04-19 1998-05-18 ソニー株式会社 データ伝送装置及び受信装置
US4845713A (en) * 1987-06-08 1989-07-04 Exabyte Corporation Method and apparatus for determining the coefficients of a locator polynomial
WO1989002123A1 (en) * 1987-08-24 1989-03-09 Digital Equipment Corporation High bandwidth reed-solomon encoding, decoding and error correcting circuit
FR2628862B1 (fr) * 1988-03-17 1993-03-12 Thomson Csf Multiplieur-additionneur parametrable dans les corps de galois, et son utilisation dans un processeur de traitement de signal numerique
EP0341862B1 (de) * 1988-05-12 1996-01-10 Quantum Corporation Fehlerortungssystem
US4958349A (en) * 1988-11-01 1990-09-18 Ford Aerospace Corporation High data rate BCH decoder

Also Published As

Publication number Publication date
EP0567148B1 (de) 2002-07-03
EP0567148A2 (de) 1993-10-27
US5414719A (en) 1995-05-09
EP0567148A3 (en) 1995-10-18
DE69332070T2 (de) 2003-05-08

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Legal Events

Date Code Title Description
8332 No legal effect for de
8370 Indication of lapse of patent is to be deleted
8364 No opposition during term of opposition
8339 Ceased/non-payment of the annual fee