Question: ( 2 0 % ) Consider a matrix H which consists of all distinct m - tuples of weight 2 as its columns. Check whether

(20%) Consider a matrix H which consists of all distinct m-tuples of weight
2 as its columns. Check whether H can be used as a parity-check matrix for
an LDPC code. If it can, compute the rank of H and the length and dimension
of the LDPC code C given by its null space.
( 2 0 % ) Consider a matrix H which consists of

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