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Fire code error correction method

Fire codes operate because of the careful selection of the CRC-generating polynomial. These special polynomials contain two prime-polynomial factors, each of which helps locate a detected error. Knowing the location of a transmitted error modulo and the degree of each of these prime-polynomial factors, you can apply the Chinese remainder theorem to locate the exact bit error. Although the math sounds complex, you can easily implement it with high-speed D flip-flops and XOR gates. If a 32-bit fire-code-protected block contains two errors separated by exactly 11 bits, the fire code fails to correct the errors.

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