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Problem 4. Is there a perfect q-ary (n, M, d)-code with the following parameters? Explain your answer. (a) q = 2, n = 7 and

Problem 4. Is there a perfect q-ary (n, M, d)-code with the following parameters? Explain your answer.

(a) q = 2, n = 7 and d = 7.

(b) q = 3, n = 10 and d = 4,

(c) q = 3, n = 10, and d = 3.

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