3 papers
cs.CR2024
On the MacWilliams Theorem over Codes and Lattices
Zhiyong Zheng, Fengxia Liu, Kun Tian
Analogies between codes and lattices have been extensively studied for the last decades, in this dictionary, the MacWilliams identity is the finite analog of the Jacobi-Poisson for…
cs.CR2023
An Unbounded Fully Homomorphic Encryption Scheme Based on Ideal Lattices and Chinese Remainder Theorem
Zhiyong Zheng, Fengxia Liu, Kun Tian
We propose an unbounded fully homomorphic encryption scheme, i.e. a scheme that allows one to compute on encrypted data for any desired functions without needing to decrypt the dat…
cs.IT2021
Cyclic Lattices, Ideal Lattices and Bounds for the Smoothing Parameter
Zhiyong Zheng, Fengxia Liu, Yunfan Lu +1
Cyclic lattices and ideal lattices were introduced by Micciancio in \cite{D2}, Lyubashevsky and Micciancio in \cite{L1} respectively, which play an efficient role in Ajtai's constr…