Setting Parity Check Matrix for LDPC channel coding

1. How do you write a parity check matrix?
2. What is parity check equation?
3. Is LDPC a coding method?
4. How many bits can LDPC correct?

How do you write a parity check matrix?

Formally, a parity check matrix H of a linear code C is a generator matrix of the dual code, C^⊥. This means that a codeword c is in C if and only if the matrix-vector product Hc^⊤ = 0 (some authors would write this in an equivalent form, cH^⊤ = 0.) to be a codeword of C.

What is parity check equation?

A binary LDPC code is a linear block code specified by a very sparse binary M by N parity check matrix: H·x^T = 0, where x is a codeword and H can be viewed as a bipartite graph where each column and row in H represents a variable node and a check node, respectively.

Is LDPC a coding method?

Low - density parity check (LDPC) code is a linear error-correcting block code, suitable for error correction in large block sizes transmitted via very noisy channels.

How many bits can LDPC correct?

Ignoring any lines going out of the picture, there are eight possible six-bit strings corresponding to valid codewords: (i.e., 000000, 011001, 110010, 101011, 111100, 100101, 001110, 010111). This LDPC code fragment represents a three-bit message encoded as six bits.