For both the Lempel Ziv 77- and 78-factorization we propose algorithms generating the respective factorization using (1+ϵ)nlgn+O(n) bits (for any positive constant ϵ≤1) working space (including the space for the output) for any text of size $n$ over an integer alphabet in O(n/ϵ2) time.
@article{arxiv.1504.02605,
title = {Lempel Ziv Computation In Small Space (LZ-CISS)},
author = {Johannes Fischer and Tomohiro I and Dominik Köppl},
journal= {arXiv preprint arXiv:1504.02605},
year = {2015}
}