| 摘要 |
An error locator unit for correcting two bit error. The error locator unit includes a plurality of operational units, a normalized basis transform unit, and a conversion unit. The plurality of operations units calculates coefficients of the polynomial based on the generated syndromes in a first basis of a Galois Field. Operating on the coefficients produces a root definition value vector in the first basis. The normalized basis transform unit transforms the root definition value vector to a normal basis to produce a plurality of roots. The conversion unit converts the plurality of roots to the first basis. A scaling factor calculated based on the coefficients is applied to the output of the conversion unit to produce a plurality of scaled roots for said polynomial in the first basis. The plurality of scaled roots is added to produce error locations for the polynomial.
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