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US4751704A
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Method and apparatus for decoding BCH code
Assignee: Sony Corp
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Filing: 1986-06-04
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Granted: 1988-06-14
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Expires: 2006-06-04
Abstract
Abstract Apparatus for decoding BCH code can correct double errors using a modification of the Chien search method. This decoding apparatus comprises circuits to form syndromes S1 and S3; a circuit to form S1 2 ; a circuit to form S1 3 ; a circuit to form (S1 3 +S3); and Chien search circuit, in which the error-location polynomial σ(x)=(S1x 2 +S1 2 x+S1 3 +S3) is solved, thereby correcting errors of two or less. With this apparatus, there is no need to perform a dividing process, and a high decoding processing speed can be realized without using any PLA or ROM.
Inventors
- 👤 Yuichi Kojima
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-10-28 11:07
CPC Classifications
H; H03; H03M; H03M13/00; H03M13/03; H03M13/05; H03M13/13; H03M13/15; H03M13/151
Claims Analysis
Total Claims: 8
Claim 1
Independent Claim
100 words
An apparatus for decoding BCH code comprising: first and second circuits to form syndromes S1 and S3, respectively, from a receiving sequence; a third circuit connected with said first circuit to form S1 2 from the syndrome S1; a fourth circuit connected with said first and third circuits to form S1 3 from the syndrome S1; a fifth circuit connected to form (S1 3 +S3); and a Chien search circuit connected with said first, third and fifth circuits to receive said S1, S1 2 , and (S1 3 +S3), and to solve the error-location polynomial (σ(x)=S1 x.sup.2 +S1.sup.2 x+S1.sup.3 +S3)
Claim 2
Independent Claim
100 words
An apparatus for decoding BCH code comprising: first and second circuits to form syndromes S1 and S3, respectively, from a receiving sequence; a third circuit connected with said first circuit to form S1 2 from the syndrome S1; a fourth circuit connected with said first and third circuits to form S1 3 from the syndrome S1; a fifth circuit connected to form (S1 3 +S3); and a Chien search circuit connected with said first, third and fifth circuits to receive said S1, S1 2 , and (S1 3 +S3), and to solve the error-location polynomial (σ(x)=S1 x.sup.2 +S1.sup.2 x+S1.sup.3 +S3)
Claim 3
Dependent Claim
11 words
thereby correcting errors of two or less in said receiving sequence.
Claim 4
Dependent Claim
11 words
thereby correcting errors of two or less in said receiving sequence.
Claim 5
Dependent Claim
23 words
An apparatus for decording BCH code according to claim 1, wherein said fourth circuit to form S1 3 multiplies S1 2 with S1.
Claim 6
Dependent Claim
53 words
An apparatus for decoding BCH code according to claim 1, including a zero detecting circuit which is supplied with said syndromes S1 and S3, and a gating circuit connected to said zero detecting circuit to inhibit an output of said Chien search circuit when both of said syndromes S1 and S3 are 0.
Claim 7
Independent Claim
83 words
A method for decoding BCH code, including the steps of first forming the syndrome S1 and S3 from a receiving sequence, then forming S1 2 and S1 3 from S1 and S1 2 respectively, combining said syndromes to form (S1 3 +S3), and using a Chien search circuit to produce an output signal corresponding to σ(x)=S1 x 2 +S1 2 x+S1 3 +S3, and inverting bits in said receiving sequence in accordance with said output signal, thereby correcting errors in said receiving sequence.
Claim 8
Independent Claim
83 words
A method for decoding BCH code, including the steps of first forming the syndrome S1 and S3 from a receiving sequence, then forming S1 2 and S1 3 from S1 and S1 2 respectively, combining said syndromes to form (S1 3 +S3), and using a Chien search circuit to produce an output signal corresponding to σ(x)=S1 x 2 +S1 2 x+S1 3 +S3, and inverting bits in said receiving sequence in accordance with said output signal, thereby correcting errors in said receiving sequence.
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USPTO Annuity & Maintenance Windows
| Annuity Stage | Window Opens | Payment Deadline | Surcharge Period Until | Estimated Fee | Status |
|---|---|---|---|---|---|
| 3.5 Years (Year 4) | 1991-06-14 | 1991-12-14 | 1992-06-14 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1995-06-14 | 1995-12-14 | 1996-06-14 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 1999-06-14 | 1999-12-14 | 2000-06-14 | $7700.00 | Window Closed / Lapsed |