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Definition of "parity check matrix" |
a matrix whose rows are orthogonal to the rows in the generator matrix of a linear forward error control block code. A nonzero result of element-wise finite field multiplication of the demodulated word by this matrix indicates the presence of symbol errors in the demodulated word. Is generated from the parity check polynomial of any linear (n, k) code and has dimension of (n − k × n). It is used by the decoder for error detection by checking the parity bits. |
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