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Journal of Mathematical Cryptology

A fast mental poker protocol

Tzer-jen Wei, Lih-Chung Wang

Published May 2, 2012• 5 citations
Publisher

Abstract

Abstract. In this paper, we present a fast and secure mental poker protocol. The basic structure is the same as Barnett & Smart's and Castellà-Roca's protocols but our encryption scheme is different. With this alternative encryption scheme, our shuffle is not only twice as fast, but it also has different security properties. As such, Barnett & Smart's and Castellà-Roca's security proof cannot be applied to our protocol directly. Nevertheless, our protocol is still provably secure under the DDH assumption. The only weak point of our protocol is that reshuffling a small subset of cards might take longer than Barnett & Smart's and Castellà-Roca's protocols. Therefore, our protocol is more suitable for card games such as bridge, most poker games, mahjong, hearts, or black jack, which do not require much partial reshuffling.

DOI
10.1515/jmc-2012-0004

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Abstract. In this paper, we present a fast and secure mental poker protocol. The basic structure is the same as Barnett & Smart's and Castellà-Roca's protocols but our encryption scheme is different. With this alternative encryption scheme, our shuffle is not only twice as fast, but it also has different security properties. As such, Barnett & Smart's and Castellà-Roca's security proof cannot be applied to our protocol directly. Nevertheless, our protocol is still provably secure under the DDH assumption. The only weak point of our protocol is that reshuffling a small subset of cards might take longer than Barnett & Smart's and Castellà-Roca's protocols. Therefore, our protocol is more suitable for card games such as bridge, most poker games, mahjong, hearts, or black jack, which do not require much partial reshuffling.
An efficient and secure mental poker scheme is proposed in this paper. It is based on multiple encryption and decryption of individual cards. The protocol satisfies all major security requirements of a real mental poker. It gets rid of the Card Salesman and guarantees minimal effect due to collusion of players. The protocol is secure and more efficient compared with other known protocols. The strategies of players can be kept confidential with the introduction of a Dealer. The protocol is suitable to be implemented in an on-line card game.
Online gambling allows users to participate in mental games and bet over the Internet. It can open new opportunities for casinos to make more money; however, at the same time, there are a lot of security challenges. In this paper, we describe our scheme for secure online gambling and secure mental poker protocols over the Internet based on our previous researches. Our scheme provides both the fairness of online gambling processes and secure linking of the online gambling with payment. A unique link between payments and gambling outcome is provided so that the winner can be ensured to get the payment. The gambling games are generic in our fair online gambling scheme. Mental poker is one of most popular games of online gambling. In this paper, efficient and secure mental poker protocols are provided. These mental poker protocols are based on multiple encryption and decryption of individual cards. These protocols satisfy all major security requirements of a real mental poker. The card salesman has been got rid of and the minimal effect due to collusion has been guaranteed. These protocols are more efficient compared with other known protocols. The strategies of players can be kept confidential with the introduction of a dealer. These mental poker protocols are suitable for implementation in an online card game.
Mental card games are played without a trusted party and without cards. It is well known that the problem of mental card games can be solved in principle. But the schemes known so far are too messy to be used in practice. Only for the mental poker game a suitable solution is known [Cr'ep 87] that achieves security against player coalition and complete confidentiality of a player's strategy. Here, we present a general-purpose scheme that may be used as basic toolbox for straight-forward implementations of card games. We present a data structure for cards and decks that is secure against player coalitions and enables standard operations like picking up a card, opening it, and (re-)mixing stacks. Futhermore, we introduce tools for special operations like inserting a card into the deck, splitting the deck, parting the game. The correctness of all operations is testified by zeroknowledge proofs. Finally, we discuss security problems that are typical for mental card games and suggest solutio...
Mental poker is a secure multi-party computation solution in specific scene.In recent years,the studies on mental poker protocol in academe are mainly based on Trusted Third Party(TTP).Using the semantic secure encrypt algorithm,combining with the signature algorithm in which the two signatures become effective at the same time,a mental poker protocol without TTP in an unreliable channel was designed.The new protocol can ensure the fairness of game participators and resist the attack of playback,with the advantages of non-repudiation,unforgeability and traceability.