Excavating
Patent
1989-04-18
1991-11-26
Smith, Jerry
Excavating
371 371, G06F 1110
Patent
active
050688561
ABSTRACT:
An error detecting circuit includes syndrome calculating circuits which calculates quotients S.sub.0 ', S.sub.1 ', S.sub.2 ' and S.sub.3 ' by division of syndromes. When all of the syndromes are "0", an error zero is detected by an error zero detecting circuit, and a signal is outputted. A single error detecting circuit detects a single error when S.sub.0 '=S.sub.1 '=S.sub.2 '=S.sub.3 '.noteq.0, outputting a signal. At this time, a J-latch holds a counted value "j" of the counter which counts the number of the division as data indicative of an error position. Based upon data calculated by adding circuits and multiplying circuits, a double error detecting circuit detects that there are two or more errors through determination whether or not equations (S.sub.0 '+S.sub.1 ')(S.sub.2 '+S.sub.3 ')=S.sub.1 '+S.sub.2 ').sup.2 and (S.sub.0 '+S.sub.2 ')(S.sub.2 '+S.sub.3 ')=(S.sub.1 '+S.sub.2 ')(S.sub.1 '+S.sub.3 ') can be formed, outputting a detection signal when double errors occur. At this time, the J-latch and an i-latch hold counted values "j" and "i" as data indicative of error positions. By an error component calculating circuit, error components E.sub.i and E.sub.j are calculated by (S.sub.0 '+S.sub.1 ')/(1+.alpha..sup.i-j) and S.sub.0 -E.sub.i, respectively because a syndrome S.sub.0 =E.sub.i +E.sub.j.
REFERENCES:
patent: 4637021 (1987-01-01), Shenton
patent: 4852099 (1989-07-01), Ozaki
patent: 4868827 (1989-09-01), Yamada
Arai Hiroyuki
Nagasawa Naobumi
Beausoliel Robert W.
Sanyo Electric Co,. Ltd.
Smith Jerry
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