This paper investigates the problem of synthesizing joint distributions in the finite-length regime. For a fixed block-length n and an upper bound on the distribution approximation epsilon, we prove a capacity result for fixed-length strong coordination. It is shown analytically that the rate conditions for the fixedlength regime are lower-bounded by the mutual information that appears in the asymptotical condition plus Q(-1) (epsilon) root V/n, where V is the channel dispersion, and Q(-1) is the inverse of the tail distribution function of the standard normal distribution. A full version of this paper is accessible at: https://arxiv.org/pdf/2101.06937.pdf
QC 20220610
Part of proceedings: ISBN 978-1-6654-0312-2