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How do you generate a parity check matrix?
In order to generate the parity check matrix you must first have the generator matrix and the codeword to check and see if it is correct. 1. Place your generator in row reduction form 2. Get the basis vectors 3. Put the vectors together to get the parity check matrix 4. Check it b multiplying the codewords by the parity = 0 For an example: 2*4 Generator Matrix [1 0 1 1 0 1 1 0] Rank = 2...therefore the number of columns is 2...Rank + X = # of columns of the Generator matrix v1+v3+v4 = 0 v2+v3 = 0 v1 = -r1-r2 v2 = -r1 v3 = r1 v4 = r2 Parity = [-1 -1 -1 0 1 0 0 1]
What error occurs if the number of bits is not an odd number for odd parity or an even parity?
parity error
What does ecc mean?
ECC stands for "error correcting code". It is a way to check for accuracy by adding one bit of redundant data (or parity data) to the end of each byte. As an example, when the digits of a byte total an odd number, the parity bit will be a zero. When it is even, it will be a one. If the parity bits do not match their respective bytes, the data is known to be corrupted.
Why to check odd or even parity?
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2.
What is rucsac?
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