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- W2238149614 abstract "It is known that, using just a deck of cards, an arbitrary number of parties with private inputs can securely compute the output of any function of their inputs. In 2009, Mizuki and Sone constructed a six-card COPY protocol, a four-card XOR protocol, and a six-card AND protocol, based on a commonly used encoding scheme in which each input bit is encoded using two cards. However, up until now, it has remained an open problem to construct a set of COPY, XOR, and AND protocols based on a two-cards-per-bit encoding scheme, which all can be implemented using only four cards. In this paper, we show that it is possible to construct four-card COPY, XOR, and AND protocols using polarizing plates as cards and a corresponding two-cards-per-bit encoding scheme. Our protocols are optimal in the setting of two-cards-per-bit encoding schemes since four cards are always required to encode the inputs. As applications of our protocols, we show constructions of optimal input-preserving XOR and AND protocols, which we combine to obtain optimal half-adder, full-adder, voting protocols, and more." @default.
- W2238149614 created "2016-06-24" @default.
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- W2238149614 date "2015-01-01" @default.
- W2238149614 modified "2023-09-29" @default.
- W2238149614 title "Secure Multi-Party Computation Using Polarizing Cards" @default.
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- W2238149614 doi "https://doi.org/10.1007/978-3-319-22425-1_17" @default.
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