Question: Let C be the binary code {(0,0, 1), (1, 1, 1), (1, 0, 0), (0, 1,0)}. a.) Show that C is not linear. b.)

Let C be the binary code {(0,0, 1), (1, 1, 1), (1,

Let C be the binary code {(0,0, 1), (1, 1, 1), (1, 0, 0), (0, 1,0)}. a.) Show that C is not linear. b.) What is the minimum distance of C? (Hint: since C is not minimum weight among the codewords.) c.) Show that C satisfies the Singleton bound with equality.

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