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US5872799A
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Global parity symbol for interleaved reed-solomon coded data
Assignee: Microsemi Storage Solutions Inc
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Filing: 1996-07-16
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Granted: 1999-02-16
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Expires: 2016-07-16
Abstract
Abstract A circuit and method includes a global parity symbol in a multi-way interleaved Reed-Solomon code implementation to enhance error-detection capability of the Reed-Solomon code. In one embodiment, the global parity symbol is computed over both the data symbols and the check symbols of the Reed-Solomon code, thereby providing data detection capability for errors occurring in the check symbols.
Inventors
- 👤 Frank S. Lee
- 👤 David H. Miller
- 👤 Richard W. Koralek
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-11-01 21:12
CPC Classifications
H; H04; H04L; H04L1/00; H04L1/004; H04L1/0056; H04L1/0057; H03; H03M; H03M13/00; H03M13/03; H03M13/05; H03M13/13; H03M13/15; H03M13/151; H03M13/27; H03M13/2735; H03M13/29; H04L1/0071
Claims Analysis
Total Claims: 4
Claim 1
Independent Claim
138 words
A method for providing a w-way interleaved Reed-Solomon error correcting code word, comprising the steps of: receiving a plurality of data symbols; computing, in each interleave a code word including said data symbols and a plurality of check symbols, said check symbols being generated by a generator polynomial given by: G(X)=(X+α.sup.j) (X+α.sup.j+1) (X+α.sup.j+2) . . . (X+α.sup.j+i-1) (X+α.sup.j+i) where α is a primitive element of GF(2 m ) and, i and j are integers; and providing a global parity symbol GP associated with a syndrome S GP given by one of: ##EQU15## where γ 0 , γ 1 , . . . , γ w-1 are non-zero elements of a galois field GF(2 m ), and S.sub.(i+j+1)w.sbsb.0 and S.sub.(j-1)w.sbsb.0 are, respectively, the partial syndromes corresponding to (X+α i+j+1 ) and (X+α j-1 ) for interleave w 0 .
Claim 2
Independent Claim
138 words
A method for providing a w-way interleaved Reed-Solomon error correcting code word, comprising the steps of: receiving a plurality of data symbols; computing, in each interleave a code word including said data symbols and a plurality of check symbols, said check symbols being generated by a generator polynomial given by: G(X)=(X+α.sup.j) (X+α.sup.j+1) (X+α.sup.j+2) . . . (X+α.sup.j+i-1) (X+α.sup.j+i) where α is a primitive element of GF(2 m ) and, i and j are integers; and providing a global parity symbol GP associated with a syndrome S GP given by one of: ##EQU15## where γ 0 , γ 1 , . . . , γ w-1 are non-zero elements of a galois field GF(2 m ), and S.sub.(i+j+1)w.sbsb.0 and S.sub.(j-1)w.sbsb.0 are, respectively, the partial syndromes corresponding to (X+α i+j+1 ) and (X+α j-1 ) for interleave w 0 .
Claim 3
Dependent Claim
56 words
A method as in claim 1, further comprising the steps of: receiving said Reed-Solomon error correcting code word; and decoding said error correction and detecting code by computing partial syndromes S j , S j+1 , S j+2 , . . . , S j+i , of said generator function and said syndrome S GP .
Claim 4
Dependent Claim
26 words
A method as in claim 2, further comprising the step of limiting error correction to a single error burst of less than predetermined number of symbols.
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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) | 2002-02-15 | 2002-08-17 | 2003-02-16 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 2006-02-15 | 2006-08-17 | 2007-02-16 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 2010-02-15 | 2010-08-17 | 2011-02-16 | $7700.00 | Window Closed / Lapsed |