| 摘要 |
An embodiment of the invention relates to a BCH encoder formed with linear feedback shift registers (LFSRs) to form quotients and products of input polynomials with irreducible polynomials of a generator polynomial g(x) of the BCH encoder, with and without pre-multiplication by a factor xm. The BCH encoder includes multiplexers that couple LFSR inputs and outputs to other LFSRs depending on a data input or parity generation state. The BCH encoder can correct up to a selectable maximum number of errors in the input polynomials. The BCH encoder further includes LFSR output polynomial exponentiation processes to produce partial syndromes for the input data in a syndrome generation state. In the syndrome generation state the LFSRs perform polynomial division without pre-multiplication by the factor xm. The exponentiation processes produce partial syndromes from the resulting remainder polynomials of the input data block.
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