Abstract
In this work, a cubic spline curve is considered for Asymmetric mode encrypting data. A Cubicspline curve is used to generate a set of points under initial known boundary conditions. This set of points is considered as generator points. Given the field, known the generator points, considering for some time and space steps and for a considered private key, Public key will be generated based on Discrete Logarithm problem. Thus for a set of public and private keys, data can be transmitted securely with features like Authenticity of users, Security & Confidentiality of data transmitted.Going by the construction of the algorithm, Encryption is being done on blocks of data for which it consumes less computing resources. Going by complexity of the algorithm, the key length needed is about 120 bit lengths to provide sufficient strengths against cryptoanalysis.
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