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Card-Based Cryptographic Protocols with the Minimum Number of Cards Using Private Operations

机译：基于卡的加密协议，具有使用私有操作的最小卡数

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This paper proposes new card-based cryptographic protocols with the minimum number of cards using private operations under the semi-honest model. Though various card-based cryptographic protocols were shown, the minimum number of cards used in the protocol has not been achieved yet for many problems. Operations executed by a player where the other players cannot see are called private operations. Private operations have been introduced in some protocols to solve a particular problem or to input private values. However, the effectiveness of introducing private operations to the calculation of general logic functions has not been considered. This paper introduces three new private operations: private random bisection cuts, private reverse cuts, and private reveals. With these three new operations, we show that all of logical and, logical xor, and copy protocols are achieved with the minimum number of cards by simple three round protocols. This paper, then shows a protocol to calculate any logical functions using these private operations.
机译：本文提出了基于新的卡加密协议，其中包含最小次数的卡片，在半诚实模型下使用私有运营。尽管显示了各种卡的加密协议，但协议中使用的最小卡片尚未实现许多问题。由其他玩家无法看到的播放器执行的操作被称为私人操作。在某些协议中引入了私有操作以解决特定问题或输入私有值。然而，尚未考虑向常规逻辑功能计算私有操作的有效性。本文介绍了三种新的私人运营：私人随机平衡，私人反向切割和私人揭示。通过这三个新的操作，我们表明所有逻辑和，逻辑XOR和复制协议都是通过简单的三个轮协议的最小卡数实现的。然后，该论文显示了使用这些私有操作计算任何逻辑函数的协议。

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