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=== => Problem 1. Let C = {0000, 1010, 2020, 0101, 0202, 1111, 1212, 2121, 2222} be a linear code over Fs = {0,1,2}.

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=== => Problem 1. Let C = {0000, 1010, 2020, 0101, 0202, 1111, 1212, 2121, 2222} be a linear code over Fs = {0,1,2}. (a) List the cosets of C. (b) Show that 10 20 0 1 0 2, is a parity-check matrix for C.

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