Apparatus for computing error correction syndromes

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371 3711, H03M 1300

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058056173

ABSTRACT:
A syndrome calculating device, for use in a Reed-Solomon decoder, for calculating syndromes S.sub.i 's iteratively, according to: +r.sub.N-3 !.alpha..sup.i +. . . +r.sub.1 }.alpha..sup.i +r.sub.0
wherein r.sub.N-j represents a jth received symbol which is fed in synchronization with a symbol clock and .alpha..sup.i denotes an ith root of a code generating polynomial, comprises a plurality of syndrome calculating cells, each of which including: a memory block containing K registers, wherein the memory block is initialized to 0 prior to a first iteration; a root input block for sequentially providing K roots of the code generating polynomial during each iteration; a multiplier on a finite field GF(2.sup.m) for sequentially multiplying the K roots of the code generating polynomial with the contents of the K registers, to thereby provide K multiplication results during each iteration; and an adder on the finite field GF(2.sup.m) for adding r.sub.N-j to each of the K multiplication results during a jth iteration, to thereby provide the K intermediate values or the K syndromes.

REFERENCES:
patent: 4649541 (1987-03-01), Lahmeyer
patent: 4763332 (1988-08-01), Glover
patent: 4833678 (1989-05-01), Cohen
patent: 4845713 (1989-07-01), Zook
patent: 5471485 (1995-11-01), Tong

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