Coin Flipping of Any Constant Bias Implies One-Way Functions

Abstract

We show that the existence of a coin-flipping protocol safe against any nontrivial constant bias (e.g., .499) implies the existence of one-way functions. This improves upon a result of Haitner and Omri (FOCS’11), who proved this implication for protocols with bias √ 2−1/2 − o (1) ≈ .207. Unlike the result of Haitner and Omri, our result also holds for weak coin-flipping protocols.

Document Details

Document Type
Pub Defense Publication
Publication Date
Mar 13, 2018
Source ID
10.1145/2979676

Entities

People

  • Aris Tentes
  • Iftach Haitner
  • Itay Berman

Organizations

  • Army Research Office
  • Defense Advanced Research Projects Agency
  • Israel Science Foundation
  • Israeli Centers for Research Excellence
  • Massachusetts Institute of Technology
  • National Science Foundation
  • Tel Aviv University

Tags

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Medical Imaging.