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In modern days of information security, much attention is drifted towards achieving the major security triad of privacy, authentication and availability. Pailiar homormophic encryption is one of the most widely area of pubic key encryption schemes researchers are exploring to enhance information security. In this paper, we presented an overview of the Pailiar cryptosystem. We further evaluated the security vulnerabilities in the cryptosystem. This was achieved through mathematical theorems and inductions. This is to present some open issues for further research to propose and implement a more robust security system based on the Pailiar homormophic encryption scheme.
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