An \(n\) symbol source which has a Huffman code with codelength vector \(L_{n}=(1,2,3,\cdots,n-2,n-1,n-1)\) is called an anti-uniform source. In this paper, it is shown that for this class of sources, the optimal fix-free code and symmetric fix-free code is \( C_{n}^{*}=(0,11,101,1001,\cdots,1\overbrace{0\cdots0}^{n-2}1).
