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(7) Let q = 11 and C be the q-ary linear code with parity check matrix H=(1 2 3 4 5 6 7 8 9

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(7) Let q = 11 and C be the q-ary linear code with parity check matrix H=(1 2 3 4 5 6 7 8 9 10) (a) What is the minimal distance of this code? (Recall that Problem 5 on Midterm 1 asked you to show that d(C) s 3. This (b) Suppose a word x, transmitted using this code, is received as Assuming at most one error could occur in transmission, find x. Explain your question is asking for the exact value of d(C).) y = (1, 1, 0, 0, 0, 0, 0, 0, 0, 0). (7) Let q = 11 and C be the q-ary linear code with parity check matrix H=(1 2 3 4 5 6 7 8 9 10) (a) What is the minimal distance of this code? (Recall that Problem 5 on Midterm 1 asked you to show that d(C) s 3. This (b) Suppose a word x, transmitted using this code, is received as Assuming at most one error could occur in transmission, find x. Explain your question is asking for the exact value of d(C).) y = (1, 1, 0, 0, 0, 0, 0, 0, 0, 0)

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