Question: 18. A ternary code (one whose alphabet size is three) C is {cbaaa,bcabc,bacbc,aabbc,acccb,cbbab}. Verify that d(C) = 2, so that by Theorem 2.2 C is

18. A ternary code (one whose alphabet size is three) C is

{cbaaa,bcabc,bacbc,aabbc,acccb,cbbab}.

Verify that d(C) = 2, so that by Theorem 2.2 C is not 1 error-correcting.

However, this only means that nearest neighbour decoding will not correet

alt instances of words received with one error. Find examples of words received with one error which:

(a) are correctly decoded;

(b) are incorreetly decoded.

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