What is the maximum number of codewords that C can have? Is it possible for C to be perfect? Assuming that C is linear what is the maximum dimension that C can have?

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4. Consider a code C over an alphabet of 5 symbols. Assume that C has
length 13 and distance 5.
(i) What is the maximum number of codewords that C can have? Is
it possible for C to be perfect?
(ii) Assuming that C is linear what is the maximum dimension that
C can have?
Transcribed Image Text:4. Consider a code C over an alphabet of 5 symbols. Assume that C has length 13 and distance 5. (i) What is the maximum number of codewords that C can have? Is it possible for C to be perfect? (ii) Assuming that C is linear what is the maximum dimension that C can have?
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