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The five-card trick can be done with four cards

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ASIACRYPT'12: Proceedings of the 18th international conference on The Theory and Application of Cryptology and Information Security

Pages 598 - 606

https://doi.org/10.1007/978-3-642-34961-4_36

Published: 02 December 2012 Publication History

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Abstract

The "five-card trick" invented by Boer allows Alice and Bob to securely compute the AND function of their secret inputs using five cards--three black cards and two red cards--with identical backs. This paper shows that such a secure computation can be done with only four cards. Specifically, we give a protocol to achieve a secure computation of AND using only four cards--two black and two red. Our protocol is optimal in the sense that the number of required cards is minimum.

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Takahashi YShinagawa KShikata HMizuki T(2024)Efficient Card-Based Protocols for Symmetric Functions Using Four-Colored DecksProceedings of the 11th ACM Asia Public-Key Cryptography Workshop10.1145/3659467.3659902(1-10)Online publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1145/3659467.3659902
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Shikata HMiyahara DMizuki T(2023)Few-helping-card Protocols for Some Wider Class of Symmetric Boolean Functions with Arbitrary RangesProceedings of the 10th ACM Asia Public-Key Cryptography Workshop10.1145/3591866.3593073(33-41)Online publication date: 10-Jul-2023
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ASIACRYPT'12: Proceedings of the 18th international conference on The Theory and Application of Cryptology and Information Security

December 2012

775 pages

ISBN:9783642349607

Editors:
Xiaoyun Wang
Tsinghua University, 30 Shuangqing Road, Beijing, China
,
Kazue Sako
Central Research Laboratories, NEC, 1754 Shimonumabe Nakahara, Kawasaki, Japan

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Springer-Verlag

Berlin, Heidelberg

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Published: 02 December 2012

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Takahashi YShinagawa KShikata HMizuki T(2024)Efficient Card-Based Protocols for Symmetric Functions Using Four-Colored DecksProceedings of the 11th ACM Asia Public-Key Cryptography Workshop10.1145/3659467.3659902(1-10)Online publication date: 1-Jul-2024
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Ruangwises SOno TAbe YHatsugai KIwamoto M(2024)Card-Based Overwriting Protocol for Equality Function and ApplicationsUnconventional Computation and Natural Computation10.1007/978-3-031-63742-1_2(18-27)Online publication date: 17-Jun-2024
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Shikata HMiyahara DMizuki T(2023)Few-helping-card Protocols for Some Wider Class of Symmetric Boolean Functions with Arbitrary RangesProceedings of the 10th ACM Asia Public-Key Cryptography Workshop10.1145/3591866.3593073(33-41)Online publication date: 10-Jul-2023
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Manabe YShinagawa K(2023)Free-XOR in Card-Based Garbled CircuitsCryptology and Network Security10.1007/978-981-99-7563-1_11(232-248)Online publication date: 30-Oct-2023
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Ruangwises S(2023)The Landscape of Computing Symmetric n-Variable Functions with 2n CardsTheoretical Aspects of Computing – ICTAC 202310.1007/978-3-031-47963-2_6(74-82)Online publication date: 4-Dec-2023
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Tozawa KMorita HMizuki T(2023)Single-Shuffle Card-Based Protocol with Eight Cards per GateUnconventional Computation and Natural Computation10.1007/978-3-031-34034-5_12(171-185)Online publication date: 13-Mar-2023
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