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In this paper, the authors have shown the development of a new public key cryptosystem which is the extension of the work of "Improvement over three prime RSA with two private keys and one public key". In many cases, the decryption generation speed is required to be enhanced, e.g.; in banking sector, signature generation in one day can be in a large volume as compared to only single signature verification in a day at the destination side. So, the main aim of this paper is to improve the cost of decryption generation. There are already various methods which have been developed to reduce the decryption time such as CRT-RSA, Batch RSA, Re-balanced RSA, Multi Prime RSA, R-Prime RSA, etc.
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