CA951434A - Apparatus for correcting two groups of multiple errors - Google Patents

Apparatus for correcting two groups of multiple errors

Info

Publication number
CA951434A
CA951434A CA129,691,A CA129691A CA951434A CA 951434 A CA951434 A CA 951434A CA 129691 A CA129691 A CA 129691A CA 951434 A CA951434 A CA 951434A
Authority
CA
Canada
Prior art keywords
correcting
groups
multiple errors
errors
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
Application number
CA129,691,A
Other languages
English (en)
Other versions
CA129691S (en
Inventor
Douglas C. Bossen
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.)
International Business Machines Corp
Original Assignee
International Business Machines 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 International Business Machines Corp filed Critical International Business Machines Corp
Application granted granted Critical
Publication of CA951434A publication Critical patent/CA951434A/en
Expired legal-status Critical Current

Links

Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00—Arrangements for detecting or preventing errors in the information received
    • H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056—Systems characterized by the type of code used
    • H04L1/0057—Block codes
    • G—PHYSICS
    • G11—INFORMATION STORAGE
    • G11B—INFORMATION STORAGE BASED ON RELATIVE MOVEMENT BETWEEN RECORD CARRIER AND TRANSDUCER
    • G11B20/00—Signal processing not specific to the method of recording or reproducing; Circuits therefor
    • G11B20/10—Digital recording or reproducing
    • G11B20/18—Error detection or correction; Testing, e.g. of drop-outs
    • G11B20/1833—Error detection or correction; Testing, e.g. of drop-outs by adding special lists or symbols to the coded information
    • 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
    • H03M13/1575—Direct decoding, e.g. by a direct determination of the error locator polynomial from syndromes and subsequent analysis or by matrix operations involving syndromes, e.g. for codes with a small minimum Hamming distance
    • 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
    • H03M13/159—Remainder calculation, e.g. for encoding and syndrome calculation

Landscapes

  • Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • General Physics & Mathematics (AREA)
  • Pure & Applied Mathematics (AREA)
  • Probability & Statistics with Applications (AREA)
  • Theoretical Computer Science (AREA)
  • Signal Processing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Error Detection And Correction (AREA)
  • Detection And Correction Of Errors (AREA)
CA129,691,A 1970-12-18 1971-12-09 Apparatus for correcting two groups of multiple errors Expired CA951434A (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
US9949070A 1970-12-18 1970-12-18

Publications (1)

Publication Number Publication Date
CA951434A true CA951434A (en) 1974-07-16

Family

ID=22275261

Family Applications (1)

Application Number Title Priority Date Filing Date
CA129,691,A Expired CA951434A (en) 1970-12-18 1971-12-09 Apparatus for correcting two groups of multiple errors

Country Status (9)

Country Link
US (1) US3697948A (de)
JP (1) JPS5215190B1 (de)
BE (1) BE774916A (de)
CA (1) CA951434A (de)
DE (1) DE2162833C3 (de)
FR (1) FR2118450A5 (de)
GB (1) GB1326976A (de)
IT (1) IT943922B (de)
NL (1) NL7117085A (de)

Families Citing this family (26)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3745528A (en) * 1971-12-27 1973-07-10 Ibm Error correction for two tracks in a multitrack system
USRE30187E (en) * 1972-11-15 1980-01-08 International Business Machines Corporation Plural channel error correcting apparatus and methods
US3868632A (en) * 1972-11-15 1975-02-25 Ibm Plural channel error correcting apparatus and methods
US3851306A (en) * 1972-11-24 1974-11-26 Ibm Triple track error correction
US3859630A (en) * 1973-01-29 1975-01-07 Burroughs Corp Apparatus for detecting and correcting errors in digital information organized into a parallel format by use of cyclic polynomial error detecting and correcting codes
US3913068A (en) * 1974-07-30 1975-10-14 Ibm Error correction of serial data using a subfield code
US3893071A (en) * 1974-08-19 1975-07-01 Ibm Multi level error correction system for high density memory
US3982226A (en) * 1975-04-03 1976-09-21 Storage Technology Corporation Means and method for error detection and correction of digital data
US3958220A (en) * 1975-05-30 1976-05-18 International Business Machines Corporation Enhanced error correction
US4030067A (en) * 1975-12-29 1977-06-14 Honeywell Information Systems, Inc. Table lookup direct decoder for double-error correcting (DEC) BCH codes using a pair of syndromes
US4077028A (en) * 1976-06-14 1978-02-28 Ncr Corporation Error checking and correcting device
JPS5555412A (en) * 1978-10-17 1980-04-23 Victor Co Of Japan Ltd Signal recording and reproducing device
JPS5556744A (en) * 1978-10-23 1980-04-25 Sony Corp Pcm signal transmission device
JPS5573909A (en) * 1978-11-28 1980-06-04 Matsushita Electric Ind Co Ltd Signal processor
GB2042228B (en) * 1979-01-31 1983-09-14 Tokyo Shibaura Electric Co Data correcting system
JPS55149551A (en) * 1979-05-10 1980-11-20 Toshiba Corp Data correcting circuit
JPS56119550A (en) * 1980-02-25 1981-09-19 Sony Corp Transmission method of pcm signal
JPS56127908A (en) * 1980-03-10 1981-10-07 Victor Co Of Japan Ltd Wrong-correction preventing system for digital signal reproducer
GB2073534B (en) * 1980-04-02 1984-04-04 Sony Corp Error concealment in digital television signals
GB2121642B (en) * 1982-05-26 1985-11-27 Sony Corp Error concealment in digital television signals
JPS601673A (ja) * 1983-06-17 1985-01-07 Sony Corp 誤り検出方法
US4908826A (en) * 1988-01-05 1990-03-13 Digital Equipment Corporation Stored data error correction system
US5343481A (en) * 1991-01-07 1994-08-30 Kraft Clifford H BCH error-location polynomial decoder
US5751740A (en) * 1995-12-14 1998-05-12 Gorca Memory Systems Error detection and correction system for use with address translation memory controller
US6532566B1 (en) 1999-05-24 2003-03-11 Oak Technology, Inc. Modified Reed-Solomon multiplication
US6378105B1 (en) * 1999-05-24 2002-04-23 Oak Technology, Inc. Reed-Solomon multiplication method

Family Cites Families (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3478313A (en) * 1966-01-20 1969-11-11 Rca Corp System for automatic correction of burst-errors
US3562709A (en) * 1968-09-12 1971-02-09 Rca Corp Correction of block errors in transmission of data
US3582878A (en) * 1969-01-08 1971-06-01 Ibm Multiple random error correcting system
US3601798A (en) * 1970-02-03 1971-08-24 Ibm Error correcting and detecting systems

Also Published As

Publication number Publication date
JPS5215190B1 (de) 1977-04-27
BE774916A (fr) 1972-03-01
NL7117085A (de) 1972-06-20
FR2118450A5 (de) 1972-07-28
DE2162833B2 (de) 1975-02-13
IT943922B (it) 1973-04-10
US3697948A (en) 1972-10-10
DE2162833C3 (de) 1975-09-25
GB1326976A (en) 1973-08-15
DE2162833A1 (de) 1972-07-13

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