TWI227599B - Reed-Solomon decoder - Google Patents
Reed-Solomon decoder Download PDFInfo
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- TWI227599B TWI227599B TW092115330A TW92115330A TWI227599B TW I227599 B TWI227599 B TW I227599B TW 092115330 A TW092115330 A TW 092115330A TW 92115330 A TW92115330 A TW 92115330A TW I227599 B TWI227599 B TW I227599B
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- error
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- 238000004364 calculation method Methods 0.000 claims abstract description 19
- 238000000034 method Methods 0.000 claims description 18
- 238000012937 correction Methods 0.000 claims description 14
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- 208000011580 syndromic disease Diseases 0.000 abstract 2
- 230000007423 decrease Effects 0.000 abstract 1
- 238000011156 evaluation Methods 0.000 description 6
- 238000010586 diagram Methods 0.000 description 4
- 230000004807 localization Effects 0.000 description 2
- 238000012360 testing method Methods 0.000 description 2
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- 101150102071 TRX1 gene Proteins 0.000 description 1
- 101150090946 UL38 gene Proteins 0.000 description 1
- 238000013500 data storage Methods 0.000 description 1
- 238000001514 detection method Methods 0.000 description 1
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- 238000012545 processing Methods 0.000 description 1
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
-
- 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
- H03M13/1545—Determination of error locations, e.g. Chien search or other methods or arrangements for the determination of the roots of the error locator polynomial
-
- 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
-
- 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
- H03M13/1515—Reed-Solomon 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
- H03M13/1525—Determination and particular use of error location polynomials
- H03M13/1535—Determination and particular use of error location polynomials using the Euclid 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
- H03M13/154—Error and erasure correction, e.g. by using the error and erasure locator or Forney polynomial
Landscapes
- Physics & Mathematics (AREA)
- Mathematical Physics (AREA)
- Probability & Statistics with Applications (AREA)
- Engineering & Computer Science (AREA)
- Theoretical Computer Science (AREA)
- Algebra (AREA)
- General Physics & Mathematics (AREA)
- Pure & Applied Mathematics (AREA)
- Error Detection And Correction (AREA)
- Detection And Correction Of Errors (AREA)
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| EP02090207A EP1370003A1 (en) | 2002-06-07 | 2002-06-07 | Reed-Solomon Decoder |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| TW200308149A TW200308149A (en) | 2003-12-16 |
| TWI227599B true TWI227599B (en) | 2005-02-01 |
Family
ID=29433184
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| TW092115330A TWI227599B (en) | 2002-06-07 | 2003-06-06 | Reed-Solomon decoder |
Country Status (6)
| Country | Link |
|---|---|
| US (1) | US20030229841A1 (e) |
| EP (1) | EP1370003A1 (e) |
| JP (1) | JP2004032737A (e) |
| KR (1) | KR20030095249A (e) |
| CN (1) | CN1467918A (e) |
| TW (1) | TWI227599B (e) |
Families Citing this family (18)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| EP1502356B1 (en) * | 2002-05-08 | 2006-11-22 | Thomson Licensing | A method of soft-decision decoding of reed-solomon codes |
| US20060059409A1 (en) * | 2004-09-10 | 2006-03-16 | Hanho Lee | Reed-solomon decoder systems for high speed communication and data storage applications |
| JP4583294B2 (ja) | 2005-11-25 | 2010-11-17 | 東芝ストレージデバイス株式会社 | 誤り訂正装置、誤り訂正プログラム、及び誤り訂正方法 |
| KR101149110B1 (ko) * | 2006-02-22 | 2012-05-25 | 삼성전자주식회사 | 디지털 통신 시스템의 ｒｓ 복호기 |
| US7689894B2 (en) * | 2006-05-11 | 2010-03-30 | Mediatek Inc. | Decoding apparatus and method therefor |
| CN101001089B (zh) * | 2006-12-28 | 2010-06-16 | 安凯(广州)微电子技术有限公司 | 一种纠错码解码中的钱搜索方法及装置 |
| CN101345533B (zh) * | 2007-07-11 | 2011-06-01 | 光宝科技股份有限公司 | 里得-索罗门解码中有效率的陈氏寻根方法及系统 |
| KR101317179B1 (ko) * | 2008-12-03 | 2013-10-15 | 한국전자통신연구원 | Ｍｐｅ-ｆｅｃ ｒｓ 디코더 및 이의 복호 방법 |
| EP2194648A1 (en) * | 2008-12-03 | 2010-06-09 | Electronics and Telecommunications Research Institute | MPE-FEC RS decoder and decoding method thereof |
| CN101459431B (zh) * | 2008-12-30 | 2012-03-07 | 北京大学 | 一种信道纠错码bch码和rs码的译码方法 |
| CN101854180B (zh) * | 2010-06-01 | 2013-04-24 | 福建新大陆电脑股份有限公司 | 一种条码纠错译码装置 |
| US9032277B1 (en) * | 2011-11-28 | 2015-05-12 | Altera Corporation | Parallel low and asymmetric rate Reed Solomon coding |
| JP2014082574A (ja) | 2012-10-15 | 2014-05-08 | Samsung Electronics Co Ltd | 誤り検出訂正回路、及びメモリ装置 |
| US8977938B2 (en) * | 2013-02-08 | 2015-03-10 | Altera Corporation | Parallel decomposition of Reed Solomon umbrella codes |
| US10686471B2 (en) * | 2017-11-22 | 2020-06-16 | Samsung Electronics Co., Ltd. | One-sub-symbol linear repair schemes |
| WO2022226962A1 (zh) * | 2021-04-30 | 2022-11-03 | 华为技术有限公司 | Rs码的译码的方法和通信装置 |
| US11750222B1 (en) * | 2022-06-29 | 2023-09-05 | Synopsys, Inc. | Throughput efficient Reed-Solomon forward error correction decoding |
| CN116192661B (zh) * | 2023-04-26 | 2023-09-29 | 苏州联讯仪器股份有限公司 | 通信模块的稳定性评估方法、装置、设备及可读存储介质 |
Family Cites Families (8)
| 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 |
| US5537426A (en) * | 1992-05-29 | 1996-07-16 | Goldstar Co., Ltd. | Operation apparatus for deriving erasure position Γ(x) and Forney syndrome T(x) polynomials of a Galois field employing a single multiplier |
| US5379305A (en) * | 1992-07-20 | 1995-01-03 | Digital Equipment Corporation | Error correction system with selectable error correction capabilities |
| US5715262A (en) * | 1995-07-12 | 1998-02-03 | Lsi Logic Corporation | Errors and erasures correcting reed-solomon decoder |
| US6279137B1 (en) * | 1998-12-08 | 2001-08-21 | Lsi Logic Corporation | System and method for a storage-efficient parallel Chien Search |
| US6347389B1 (en) * | 1999-03-23 | 2002-02-12 | Storage Technology Corporation | Pipelined high speed reed-solomon error/erasure decoder |
| EP1102406A3 (en) * | 1999-11-17 | 2003-11-19 | STMicroelectronics, Inc. | Apparatus and method for decoding digital data |
| US6539515B1 (en) * | 1999-11-24 | 2003-03-25 | Koninklijke Philips Electronics N.V. | Accelerated Reed-Solomon error correction |
-
2002
- 2002-06-07 EP EP02090207A patent/EP1370003A1/en not_active Withdrawn
-
2003
- 2003-06-02 JP JP2003156793A patent/JP2004032737A/ja active Pending
- 2003-06-03 US US10/453,417 patent/US20030229841A1/en not_active Abandoned
- 2003-06-03 KR KR10-2003-0035677A patent/KR20030095249A/ko not_active Withdrawn
- 2003-06-06 TW TW092115330A patent/TWI227599B/zh not_active IP Right Cessation
- 2003-06-09 CN CNA031411185A patent/CN1467918A/zh active Pending
Also Published As
| Publication number | Publication date |
|---|---|
| CN1467918A (zh) | 2004-01-14 |
| JP2004032737A (ja) | 2004-01-29 |
| US20030229841A1 (en) | 2003-12-11 |
| KR20030095249A (ko) | 2003-12-18 |
| TW200308149A (en) | 2003-12-16 |
| EP1370003A1 (en) | 2003-12-10 |
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| MM4A | Annulment or lapse of patent due to non-payment of fees |