Device for correcting errors by a long-distance code

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371 376, G06F 1110, H03M 1300

Patent

active

050994832

ABSTRACT:
A device for correcting errors of a long-distance code, when decoding a long-distance code capable of correcting errors up to maximum t words of which one word is composed of w bits, for obtaining a coefficient of each term of an error-position polynomial by setting data words A.sub.(i+j=2) to each element q.sub.i,j of a matrix having t rows and (t+1) columns, where 1.ltoreq.i.ltoreq.t, 1.ltoreq.j.ltoreq.t+1, A.sub.0 to A.sub.2t-1 represent syndromes or error positions, and by performing a left-hand elementary transformation over the matrix in order to obtain each coefficient of each term of the error-position polynomial or error patterns from syndromes has an error position calculating device for obtaining the error positions by utilizing a coefficient calculating circuit of the error-position polynomial and an error pattern calculating circuit.

REFERENCES:
patent: 3568148 (1971-03-01), Clark, Jr.
patent: 4105999 (1978-08-01), Nakamura
patent: 4328582 (1982-05-01), Battail et al.
patent: 4422156 (1983-12-01), Sano
patent: 4494234 (1985-01-01), Patel
patent: 4556977 (1985-12-01), Olderdissen et al.
patent: 4633470 (1986-12-01), Welch et al.
patent: 4937829 (1990-06-01), Kadokawa
patent: 4939733 (1990-07-01), Furutani

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