Welcome to the resource topic for 2017/198
Title:
FHE with Recursive Ciphertext
Authors: Masahiro Yagisawa
Abstract:In this paper I propose fully homomorphic public-key encryption (FHPKE) with the recursive ciphertex. A ciphertext consists of three sub-ciphertexts corresponding to one plaintext. When we execute the additional operation or multiplicative operation, a new three sub-ciphertexts are generated from the three sub-ciphertexts recursively without revealing the plaintexts. The scheme is based on the discrete logarithm assumption (DLA) and computational Diffie–Hellman assumption (CDH) of multivariate polynomials on octonion ring with composite number modulus. The scheme is immune from “m and - m attack”.
ePrint: https://eprint.iacr.org/2017/198
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