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Consider a systematic block code whose parity-check equations are. p1 = m1 + m2 + m4 p2 = m1 + m3 + m4 p3 =

Consider a systematic block code whose parity-check equations are.

p1 = m1 + m2 + m4

p2 = m1 + m3 + m4

p3 = m1 + m2 + m3

p4 = m2 + m3 + m4

where mi are message digits are pi are check digits.

(a) Find the generator matrix and parity-check matrix for the code.

(b) Is the vector 10101010 a codeword?

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