Cryptology ePrint Archive: Report 2016/738

FHPKE with Zero Norm Noises based on DLA&CDH

Masahiro Yagisawa

Abstract: In this paper I propose the fully homomorphic public-key encryption(FHPKE) scheme with zero norm noises that is based on the discrete logarithm assumption(DLA) and computational Diffie-Hellman assumption(CDH) of multivariate polynomials on octonion ring. Since the complexity for enciphering and deciphering become to be small enough to handle, the cryptosystem runs fast.

Category / Keywords: public-key cryptography / fully homomorphic public-key encryption, discrete logarithm assimption, computational Diffie-Hellman assumption, octonion ring

Date: received 27 Jul 2016, last revised 28 Jul 2016

Contact author: tfkt8398yagi at outlook jp

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Version: 20160728:194446 (All versions of this report)

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