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The paper presents a series algorithms of Elliptic curve scalar multiplication based on Fibonacci numbers. The double free addition chain is used to develop new scalar multiplication. Zeckendorf and Pell representation is analyzed and used to construct scalar multiplication. We analyzed the efficiency and the security to power analysis, it shows that with sophisticated designation, double free method...
A new fair electronic cash system is proposed based on group blind signature and secret sharing scheme. The proposed system is dynamic: we give the blind Bresson's membership revocation method and apply it to deleting the dishonest banks that maybe attack the system. The proposed scheme does not need a trusted third party to trace users: a shop owning suspicious e- coin and the bank having issued...
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