Abstract
We construct a pseudo-random generator for space bounded computations using the extractor of Zuckerman [7]. For machines that use S space and R < 2 1-ε random bits for ε Τ; 0, the generator uses a seed of length O((S log R)/ log S) which is shorter than the seed of both the generator of Nisan [4] and the generator of Nisan and Zuckerman[5]. We then use this generator to derandomize these machines in space \( O(S\sqrt {(\log R)/\log S} )\) which is better than the derandomization of [6].
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© 1998 Springer-Verlag Berlin Heidelberg
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Armoni, R. (1998). On the Derandomization of Space-Bounded Computations. In: Luby, M., Rolim, J.D.P., Serna, M. (eds) Randomization and Approximation Techniques in Computer Science. RANDOM 1998. Lecture Notes in Computer Science, vol 1518. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49543-6_5
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DOI: https://doi.org/10.1007/3-540-49543-6_5
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