任意常数偏置的抛硬币隐含单向函数

Journal of the ACM (JACM) Pub Date : 2018-03-13 DOI:10.1145/2979676

Itay Berman, Iftach Haitner, Aris Tentes

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引用次数: 2

摘要

我们证明了对任何非平凡常数偏差(例如，.499)安全的抛硬币协议的存在意味着单向函数的存在。这改进了Haitner和Omri (FOCS ' 11)的结果，他们证明了偏差为√2−1/2−o(1)≈.207的协议的这一意义。与Haitner和Omri的结果不同，我们的结果也适用于弱抛硬币协议。

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Coin Flipping of Any Constant Bias Implies One-Way Functions

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.

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Journal of the ACM (JACM)

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