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

Information Theory 2012-09-05 v1 math.IT Probability

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.

Keywords

Cite

@article{arxiv.1209.0726,
  title  = {A Universal Scheme for Transforming Binary Algorithms to Generate Random Bits from Loaded Dice},
  author = {Hongchao Zhou and Jehoshua Bruck},
  journal= {arXiv preprint arXiv:1209.0726},
  year   = {2012}
}

Comments

2 columns, 10 pages

R2 v1 2026-06-21T21:59:42.489Z