Consider the canonical parity-check matrix h = I 1 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0

Chapter 9, Problem 10

(choose chapter or problem)

Consider the canonical parity-check matrix h = I 1 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 Y a. Prove that the code generated by H is singleerror correcting. b. Write the set of binary m-tuples H encodes and write the code word for each one.

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