Apparatus for uniformly correcting erasure and error of received

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H03M 1300

Patent

active

055419372

ABSTRACT:
A syndrome polynomial S(x) is generated based on a received word, an erasure locator polynomial .lambda.(x) is generated based on an erasure location, an error evaluator polynomial .omega.(x) is generated based on a polynomial M(x) which is a product S(x).multidot..lambda.(x) of the syndrome polynomial S(x) and the erasure locator polynomial .lambda.(x), a polynomial .tau.(x) which is a product .lambda.(x).multidot..sigma.(x) of the erasure locator polynomial .lambda.(x) and the error locator polynomial .sigma.(x) and a differentiation .tau.(x) of the polynomial .tau.(x) based on the polynomial M(x) and the erasure locator polynomial .lambda.(x), a dimension .alpha..sup.i is set to the error evaluator polynomial .omega.(x), the polynomial .tau.(x) and the differentiation .tau.'(x), and when .tau.(.alpha..sup.i)=0, the i-th symbol of the received word is corrected to .omega.(.alpha..sup.i)/.tau.'(.alpha..sup.i).

REFERENCES:
patent: 4162480 (1979-07-01), Berlekamp
patent: 4649541 (1987-03-01), Lahmeyer
patent: 4719628 (1988-01-01), Ozaki et al.
patent: 4747103 (1988-05-01), Iwamura et al.
patent: 4751704 (1988-06-01), Kojima
patent: 4852099 (1989-07-01), Ozaki
patent: 4873688 (1989-10-01), Maki et al.
patent: 5325373 (1994-06-01), Iwamura et al.
patent: 5365529 (1994-11-01), Mester

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