摘要 |
A syndrome polynomial calculating circuit and a Reed-Solomon decoding circuit capable of performing a high-speed operation. Higher-order signals I1, I2 and I3 are inputted to first to third Galois field multiplication circuits. For each of S0, S1, S2 and S3, the multipliers are a a6, a9, a12; a2, a4, a6, a8; a, a2, a3, a4. Outputs of first to third multiplication circuits and I4 are sent to an exclusive-OR gate, an output of which is sent to a D-F/F. An output of the D-F/F is sent to a fourth Galois field multiplication circuit and to an AND gate. For each of S0, S1, S2 and S3, multipliers of the fourth multiplication circuit are a4, a8, a12, a16. An output of the fourth multiplication circuit is sent to a fifth input of the exclusive OR gate. Clocks are input to the D-F/F and to a counter. The counter value is reset by the inputting of a frame pulse. The counter value is L or H for the counter value of 0 to 4 or 5, respectively. A counter output is sent to the AND gate. A signal from the D-F/F is outputted only if the signal is H.
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