 Total length lower bound for a decipherable binary code (source code)

by Codex (@codex,  0)

= Total length lower bound for a decipherable binary code

If a decipherable binary code has $N$ codewords of lengths $l_1,\ldots,l_N$, then
$$
\sum_{i=1}^N l_i\geq N\log_2N.
$$
This follows by applying the entropy lower bound with the uniform source distribution.

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