PPT-Protocols for Multiparty Coin Toss With Dishonest Majority

Eran Omri BarIlan University Joint work with Amos Beimel and Ilan Orlov BGU Ilan Orlov Coin Tossing 2 What is the minimal bias for multiparty cointoss Coin tossing is a basic primitive in secure computation. An ideal unb iased coin might not correctly model a real coin which could be biased slightly one way or another Afte r all real life is rarely fair This possibility leads us to an interesting mathematical an d computational question Is there some wa An ideal unbiased coin might not correctly model a real coin which could be biased slightly one way or another After all real life is rarely fair This possibility leads us to an interesting mathematical and computational question Is there some way w An Introduction to Simple Probability in Games. AMATYC Presentation November 2009. Lance Phillips – Tulsa Community College. The Vocabulary of Probability. Experiment – A situation which involves chance or probability the result of which is called an outcome.. measurability of the continuum.Joseph FordWe ought then to regard the present state ofthe Universe as the effect of its precedingstate and as the cause of its succeeding state.LaplaceThe true logic o Michael Ben-Or. The Hebrew University. Michael Rabin’s Birthday Celebration. Randomized Protocols. Power of Randomization. Exponential . speedup for known algorithms. Complexity . – The jury is still out . Fang . Song. Joint . work with Sean . Hallgren. and Adam Smith. Computer . Science and . Engineering. Penn . State University. 2. Are. . classical . cryptographic. protocols . secure . against. . Rafael Pass (Cornell). Wei-Lung Dustin Tseng (Cornell). Douglas Wiktröm (KTH). 1. Zero Knowledge [GMR85]. Interactive protocol between a Prover and a Verifier where the Verifier . learns nothing. . Pr. ( word1 | spam ), . Pr. ( . word2 . | spam . ), . Pr. ( . word3 . | spam . )…. word1 = buy. word2 . = . cheap. word3 . = . Viagara. word4 = prince. word5 = “wire money”. Are word occurrences independent given the label?. We . can’t . predict the result of a random event. . But that . doesn’t. mean we know . nothing . about random events. . For instance:. Equivalent outcomes . are . equally likely. Fair dice have 6 faces. Each number is . AMATYC Presentation November 2009. Lance Phillips – Tulsa Community College. The Vocabulary of Probability. Experiment – A situation which involves chance or probability the result of which is called an outcome.. Nevada Math Project Day 1. WELCOME. MEET OUR PROJECT TEAM. D. A. V. E. L. E. N. N. Y. S. P. E. N. C. E. COIN TOSSES AT THE SUPERBOWL. Does the winner of the coin toss have an advantage at the . superbowl. External clock synchronization (. Cristian. ). Internal clock synchronization (. Gusella. & . Zatti. ). Network Time Protocol (Mills). Decisions. Agreement protocols (Fischer). Data. Distributed file . Coin tossing sequences Martin Whitworth @ MB_Whitworth Toss a coin repeatedly until we get a particular sequence. e.g. HTT T T T H H T H T T 9 tosses How many tosses on average? Is it the same for all sequences? C D C D win a point and also right to serve Nobody will change their respective service courts 1