A Universal Scheme for Transforming Binary Algorithms to Generate Random Bits from Loaded Dice

Hongchao Zhou; Jehoshua Bruck

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arXiv · 1209.0726

A Universal Scheme for Transforming Binary Algorithms to Generate Random Bits from Loaded Dice

Hongchao Zhou·Jehoshua Bruck

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Abstract

In this paper, we present a universal scheme for transforming an arbitrary algorithm for biased 2-face coins to generate random bits from the general source of an m-sided die, hence enabling the application of existing algorithms to general sources. In addition, we study approaches of efficiently generating a prescribed number of random bits from an arbitrary biased coin. This contrasts with most existing works, which typically assume that the number of coin tosses is fixed, and they generate a variable number of random bits.

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BibTeX RIS

Hongchao Zhou, Jehoshua Bruck. 2012-09-04. A Universal Scheme for Transforming Binary Algorithms to Generate Random Bits from Loaded Dice. https://arxiv.org/abs/1209.0726

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