Abstract

For both the Lempel Ziv 77- and 78-factorization we propose algorithms generating the respective factorization using (1+ε)nlg⁡n+O(n)(1+ε) n \lg n + O(n) bits (for any positive constant ε≤1ε\le 1) working space (including the space for the output) for any text of size \$n\$ over an integer alphabet in O(n/ε2)O(n / ε^{2}) time.

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