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Research of A New Probabilistic Cryptosystem Based on Quadratic Residue

YU Ma-li

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Abstract

Although BG cryptosystem is an uncertainty public-key cryptosystem,it features high message expansion and no digital signature.A new cryptosystem are introduced based on quadratic residue.The new algorithm improves the original encryption scheme to decrease the message expansion to 1+(k-1)/t and realize the digital signature.

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What this paper is about

Although BG cryptosystem is an uncertainty public-key cryptosystem,it features high message expansion and no digital signature.A new cryptosystem are introduced based on quadratic residue.The new algorithm improves the original encryption scheme to decrease the message expansion to 1+(k-1)/t and realize the digital signature.

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Available abstract

Although BG cryptosystem is an uncertainty public-key cryptosystem,it features high message expansion and no digital signature.A new cryptosystem are introduced based on quadratic residue.The new algorithm improves the original encryption scheme to decrease the message expansion to 1+(k-1)/t and realize the digital signature.

Key concepts: Cryptosystem, Quadratic residue, Computer science, Hybrid cryptosystem, Digital signature, Quadratic equation, Goldwasser–Micali cryptosystem, Encryption

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