IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Discrete Mathematics and Its Applications
Securely Computing Three-Input Functions with Eight Cards
Takuya NISHIDAYu-ichi HAYASHITakaaki MIZUKIHideaki SONE
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2015 Volume E98.A Issue 6 Pages 1145-1152

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Abstract

Assume that Alice, Bob, and Carol, each of whom privately holds a one-bit input, want to learn the output of some Boolean function, say the majority function, of their inputs without revealing more of their own secret inputs than necessary. In this paper, we show that such a secure three-input function evaluation can be performed with a deck of real cards; specifically, the three players can learn only the output of the function using eight physical cards — four black and four red cards — with identical backs.

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© 2015 The Institute of Electronics, Information and Communication Engineers
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