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Securely Computing the Three-Input Majority Function with Eight Cards

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Theory and Practice of Natural Computing (TPNC 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8273))

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Abstract

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

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Nishida, T., Mizuki, T., Sone, H. (2013). Securely Computing the Three-Input Majority Function with Eight Cards. In: Dediu, AH., MartĂ­n-Vide, C., Truthe, B., Vega-RodrĂ­guez, M.A. (eds) Theory and Practice of Natural Computing. TPNC 2013. Lecture Notes in Computer Science, vol 8273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45008-2_16

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  • DOI: https://doi.org/10.1007/978-3-642-45008-2_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-45007-5

  • Online ISBN: 978-3-642-45008-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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