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In the last years, mobile commerce have appeared thanks to the growth in the use of mobile devices, multiple wireless technology for personal communication and program language such as Java. A parallel step has been the design of new mobile payment protocols that provide strong security because the financial data is transmitted over wireless networks. In this sense, cryptographic operations are used to provide security services such as authentication, confidentiality, integrity and non-repudiation. Although the use of cryptographic operations enhance the network security, its use requires a priori high execution time of the CPU, battery consumption and storage capacity of the mobile device. On the other hand, the process to create and transmit each packet requires additional resources.
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