On the Complexity of Fair Coin Flipping

On the Complexity of Fair Coin Flipping
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论公平抛硬币的复杂性

DOI:
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发表时间:
2018
期刊:
Electron. Colloquium Comput. Complex.
影响因子:
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通讯作者:
Eran Omri
Eran Omri
中科院分区:
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文献类型:
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作者:
Iftach Haitner;Nikolaos Makriyannis;Eran Omri

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一个两方硬币翻转协议是(vareps)-公平的,如果没有有效的对手可以使诚实的一方的输出(即使另一方放弃,也总是输出一位)偏向超过(vareps)。Cleve [STOC '86]表明r轮o(1 / r)-公平硬币翻转协议不存在。Awerbuch等人[Mandarpt '85]构建了一个(varTheta(1/sqrt{r}))-公平的硬币翻转协议,假设存在单向函数。Moran等人[Journal of Cryptology '16]构建了一个r轮硬币翻转协议,该协议是(varTheta(1/r))公平的(因此匹配上述Cleve的下限[STOC '86]),假设存在不经意的转移。
A two-party coin-flipping protocol is (varepsilon )-fair if no efficient adversary can bias the output of the honest party (who always outputs a bit, even if the other party aborts) by more than (varepsilon ). Cleve [STOC ’86] showed that r-round o(1 / r)-fair coin-flipping protocols do not exist. Awerbuch et al. [Manuscript ’85] constructed a (varTheta (1/sqrt{r}))-fair coin-flipping protocol, assuming the existence of one-way functions. Moran et al. [Journal of Cryptology ’16] constructed an r-round coin-flipping protocol that is (varTheta (1/r))-fair (thus matching the aforementioned lower bound of Cleve [STOC ’86]), assuming the existence of oblivious transfer.