Abstract
The Spline Cryptosystem has succeeded two major achievements: First, the system is based on real arithmetic which is generally considered unapplicable to cryptography because the information is lost through round-off errors. Secondly, our prospective cryptosystem- Spline Cryptosystem , without providing the common session key, the solution of recovering messages from corresponding cryptogram is mathematically undeterminate, which may withstand any attack. Moreover, the cryptosystem can be implemented on any current personal computer, and both enciphering and deciphering processes can be achieved in little amount of time in comparison with the RSA's approach. Eventually, machine hardware will catch up with practice, such that all of the current computationally insurmountable problems will be resolved in some time in the future.
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