Error correcting system and device

Details Error correcting system and device Error correcting system and device

1988-04-22

1990-06-26

Smith, Jerry

Excavating

371 371, G06F 1110

Patent

active

049378295

ABSTRACT:
An error correcting system for obtaining an error location polynomial from a syndrome or an error pattern from an error location and a syndrome when decoding a long distance code, the error correcting system comprising steps of setting a data word A.sub.(i+j-2) to each element q.sub.i,j of a matrix consisting of p rows and (p+1) columns [where 1.ltoreq.i.ltoreq.p, 1.ltoreq.j.ltoreq.p+1 and A.sub.0 to A.sub.2p-1 denote a syndrome of an error location] performing left hand elementary transformation over the matrix, and obtaining the coefficient of each term of the polynomial.

REFERENCES:
patent: 4105999 (1978-08-01), Nakamura
patent: 4162480 (1979-07-01), Berlekamp
patent: 4494234 (1985-01-01), Patel
patent: 4556977 (1985-12-01), Olderdissen
patent: 4633470 (1986-12-01), Welch
patent: 4637021 (1987-01-01), Shenton
patent: 4754458 (1988-06-01), Dornstetter
"On the Algorithm for Solving Yule-Walker Equation Based Upon Institute of Electronics and Communication Engineers of Japan".

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