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Mathematics Coding Theory Problem. Z_2 = {0,1} and code length of 8 PROBLEM 2. Let C C Z have the generator matrix 0 0 0

Mathematics Coding Theory Problem. Z_2 = {0,1} and code length of 8

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PROBLEM 2. Let C C Z have the generator matrix 0 0 0 0 0110 1 0 0 01 0 0 10 00110 G = 00100101 0 0001010 1 0 0 0 0110 The code C has 2" = 64 codewords corresponding to linear combinations aw + aquiz + ... + aowe. The 64 codewords are used to encode bightness levels of a picture element. If the brightness level is 0

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