Consider the Hamming code defined by the parity-check matrix of Figure E7.8 (note that the columns..


Consider the Hamming jurisprudence defined by the parity-check matrix of Figure E7.8 (music that the columns of H are unembarrassed in increasing prescribe of the corresponding decimal values, that is, H = [1 2 3 4 5 6 7]).

a. What are the parameters k, n, m, and dmin of this jurisprudence?

b. How many errors can it chasten?

c. Find a generator matrix, G, for this jurisprudence.

d. Is this jurisprudence uniform?

e. Is this jurisprudence cyclic?