Product code A single-parity-check code has no error-correction capability, it can only detect occurrence of odd number of errors. Error correction can be achieved by combining two single-parity-check codes and , in a form of rectangular array. The code parameters are:
; , Then, such product code may:
detect all triple errors (no correction ability), or
detect all double and correct all single errors.
Decoder decision is based on syndromes, parity-check sums of individual rows and columns.
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