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However, an even number of errors can pass the parity check.
The limit on the number of bits set is similar to, but strictly stronger than, a parity check.
A parity check bit and two timing bits are issued automatically with each character.
Note that the "data scrubbing" operation activates a parity check.
It applies the same idea to the parity check matrix H of a linear code.
He also invented the procedure for automatic error detection known as parity check, which is used in almost all computers today.
Current means of redundancy include replication and parity checks.
The operators function in the same way as a parity check matrix does for a classical linear block code.
The group test matrix here is just the parity check matrix for the Hamming code.
It concerns the quadratic residue code of order n, extended by adding a single parity check bit.
Associated with each memory location were two other bits, called C for odd parity check and M for word mark.
Each subcode node contributes equations to parity check matrix for a total of .
A systematic group code is a code over of order defined by homomorphisms which determine the parity check bits.
In this case, the parity check matrix has size , and hence has dimension at least .
A generator matrix can be used to construct the parity check matrix for a code (and vice-versa).
Another possibility would be a concatenation of a Hamming code with a low density parity check code.
E.g., a 'parity check' is the result of a hardware-detected parity error.
In this example, we can use the binary Hamming Code , with parity check matrix .
Then the linear code generated by viewing the transpose of this matrix as a parity check matrix is an expander code.
This check is carried out with a Bit Interleaved Parity check (BIP-8).
Memory had a 44 bit word length for Program Stores, of which 6 were for Hamming error correction and one for an additional parity check.
Example : The linear block code with the following generator matrix and parity check matrix is a Hamming code.
OFF CHECK - Used to conduct parity checks.
The rows of a parity check matrix are parity checks on the codewords of a code.
Traditional practitioners of geomancy use this knowledge as a type of parity check on the chart to ensure that no mistakes have been made while computing the figures.