Wednesday, December 5, 2012

1212.0520 (Wolfgang Mauerer et al.)

A modular framework for randomness extraction based on Trevisan's
construction
   [PDF]

Wolfgang Mauerer, Christopher Portmann, Volkher B. Scholz
Informally, an extractor delivers perfect randomness from a source that may be far away from the uniform distribution, yet contains some randomness. This task is a crucial ingredient of any attempt to produce perfectly random numbers---required, for instance, by cryptographic protocols, numerical simulations, or randomised computations. Trevisan's extractor raised considerable theoretical interest not only because of its data parsimony compared to other constructions, but particularly because it is secure against quantum adversaries, making it applicable to quantum key distribution. We discuss a modular, extensible and high-performance implementation of the construction based on various building blocks that can be flexibly combined to satisfy the requirements of a wide range of scenarios. Besides quantitatively analysing the properties of many combinations in practical settings, we improve previous theoretical proofs, and give explicit results for non-asymptotic cases. The self-contained description does not assume familiarity with extractors.
View original: http://arxiv.org/abs/1212.0520

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