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On the use of suffix arrays for memory-efficient Lempel-Ziv data compression

Ferreira, A. ; Oliveira, A. L. ; Figueiredo, M. A. T.

On the use of suffix arrays for memory-efficient Lempel-Ziv data compression, Proc IEEE Data Compression Conference - DCC, Snowbird, United States, Vol. 1, pp. 444 - 444, March, 2009.

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Much research has been devoted to optimizing
algorithms of the Lempel-Ziv (LZ) 77 family, both in terms of speed and memory
requirements. Binary search trees and suffix trees (ST) are data structures
that have been often used for this purpose, as they allow fast searches
at the expense of memory usage.

In recent years, there has been interest on suffix arrays (SA),
due to their simplicity and low memory requirements. One key issue is that an
SA can solve the sub-string problem almost as efficiently as an ST, using
less memory. This paper proposes two new SA-based algorithms for LZ encoding,
which require no modifications on the decoder side. Experimental results on standard
benchmarks show that our algorithms, though not faster, use 3 to 5 times less
memory than the ST counterparts. Another important feature of our SA-based algorithms
is that the amount of memory is independent of the text to search, thus the memory
that has to be allocated can be defined a priori. These features of
low and predictable memory requirements are of the utmost importance in several
scenarios, such as embedded systems, where memory is at a premium and speed is
not critical. Finally, we point out that the new algorithms are general, in the
sense that they are adequate for applications other than LZ compression, such
as text retrieval and forward/backward sub-string search.