Mental poker game based on a bit commitment scheme through network

Abstract There are many schemes proposed on mental poker so far. Most of them are based on the composition of each player's private permutation of cards. Yet, each one is either too complex or has some drawbacks in it. In other words, no solution has come to reality. In this paper, we propose a permutation-free method, i.e. a bit commitment scheme, along with the RSA cryptosystem (Cryptography-Theory and Practice, CRC Press, Boca Raton, 1995; Public-key, Cryptography, Springer, Berlin, 1996) to implement the mental poker game. It is not only simple but also concise in concept.