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In this paper the authors have designed a fair e-cash system using Schnorr's one-time signature and Okamoto-Schnoor blind signature. In addition, the proposed e-cash system is constructed using Elliptic Curve Cryptosystems (ECC) under the limited-storage environment for mobile devices such as smart cards, PDA, etc. able to efficiently store the coin streams. Furthermore, this system prevents criminal's activities by means of the two common cryptographic techniques double-spending detection and fair tracing. There have been many electronic cash (e-cash) protocols proposed with rapid improvement of information technologies and widespread diffusion of communication networks.
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