{"title":"任意常数偏置的抛硬币隐含单向函数","authors":"Itay Berman, Iftach Haitner, Aris Tentes","doi":"10.1145/2979676","DOIUrl":null,"url":null,"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.","PeriodicalId":17199,"journal":{"name":"Journal of the ACM (JACM)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Coin Flipping of Any Constant Bias Implies One-Way Functions\",\"authors\":\"Itay Berman, Iftach Haitner, Aris Tentes\",\"doi\":\"10.1145/2979676\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":17199,\"journal\":{\"name\":\"Journal of the ACM (JACM)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-03-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the ACM (JACM)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/2979676\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the ACM (JACM)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/2979676","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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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