Question: Problem 7. How many binary words of length 7 are at (a) at Hamming distance 7 from (1, 0, 1, 0, 1, 0, 1)? (b)

Problem 7. How many binary words of length 7 are at

(a) at Hamming distance 7 from (1, 0, 1, 0, 1, 0, 1)?

(b) at Hamming distance 6 from (1, 0, 1, 0, 1, 0, 1)?

Problem 8. Is the code in Problem 1(c) equivalent to the 5-ary repetition code { (0, 0, 0, 0 , 0), (1, 1, 1, 1, 1), (2, 2, 2, 2, 2), (3, 3, 3, 3, 3), (4, 4, 4, 4, 4) }. of length 5? Supply a proof to justify your answer.

Problem 1.

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