Let $F$ be a finite collection of binary strings of finite lengths, and assume that no two distinct concatenations of two finite sequences of codewords result in the same binary sequence. Let $N_i$ denote the number of strings of length $i$ in $F$. Prove that$$\sum_{i}{\frac{N_i}{2^i}}\le{1}$$
2026-03-28 16:44:42.1774716282
a coding theory question about inequality
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