Problem

Consider the code having the following generator matrix: (a) Show that this m...

Consider the code having the following generator matrix:

(a) Show that this matrix generates the (4, 7)-Hamming code.

(b) Decode, if possible, the received words 000111Q , 1110000, and 1001000.

(c) How many transmission errors can this code detect?

(d) How many transmission errors can this code correct?

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