Author

Shan Zhi

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Preprint Sep 2026

The 3/4 Conjecture for q-Ary Fix-Free Codes With at Most Three Distinct Codeword Lengths

We prove the \(3/4\) conjecture for \(q\)-ary fix-free codes with at most three distinct codeword lengths, for every integer \(q\geq2\). Every prescribed length distribution with Kraft sum at most \(3/4\) is realized by a deterministic construction. We introduce a matrix approach based on an exact identity for the over...

Wei-Guo Gao, Shan Zhi · 0 citations