A New Efficient Asymmetric Cryptosystem Based on the Square Root Problem

M. R. K. Ariffin; M. A. Asbullah; N. A. Abu

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arXiv · 1207.1157

A New Efficient Asymmetric Cryptosystem Based on the Square Root Problem

M. R. K. Ariffin·M. A. Asbullah·N. A. Abu

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Abstract

The square root modulo problem is a known primitive in designing an asymmetric cryptosystem. It was first attempted by Rabin. Decryption failure of the Rabin cryptosystem caused by the 4-to-1 decryption output is overcome efficiently in this work. The proposed scheme (known as the AA_β- cryptosystem) has its encryption speed having a complexity order faster than the Diffie-Hellman Key Exchange, El-Gammal, RSA and ECC. It can also transmit a larger data set securely when compared to existing asymmetric schemes. It has a simple mathematical structure. Thus, it would have low computational requirements and would enable communication devices with low computing power to deploy secure communication procedures efficiently.

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BibTeX RIS

M. R. K. Ariffin, M. A. Asbullah, N. A. Abu. 2012-11-14. A New Efficient Asymmetric Cryptosystem Based on the Square Root Problem. https://arxiv.org/abs/1207.1157

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