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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