Vector permutation encoding for the uniform sources

A vector permutation code (VPC) is defined as a fixed-rate vector quantizer with a codebook C[y₀] = {y_l}_l=0^M=1 consisting of all the distinct permutations of the columns of an L×n matrix y₀=(μ₁,...., μ₁, ................, μ_k,....., μ_k), where each L-dimensional column-vector μ_i appears n_i times. Based on error criterion vector quantisation an algorithm for composition vector design is also proposed.