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Which of the statements is/are TRUE?
Select ALL that apply.
All Hamming codes are perfect.
An extended code cannot be perfect.
There exists a Ternary Hamming code of length $30$.
The most desirable value of the reliability of a binary symmetric channel is $0.5$ .
The maximum number of code words in a binary code of length $6$ in which any single error can be detected is $32$.
If the parameters of a code satisfies the sphere packing bound, then a code with those parameters exist.