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cs.IT2025
MacWilliams Theory over Zk and nu-functions over Lattices
Zhiyong Zheng, Fengxia Liu, Kun Tian
Continuing previous works on MacWilliams theory over codes and lattices, a generalization of the MacWilliams theory over for codes is established, and the comple…
cs.IT2025
Codes over Finite Ring , MacWilliams Identity and Theta Function
Zhiyong Zheng, Fengxia Liu, Kun Tian
In this paper, we study linear codes over based on lattices and theta functions. We obtain the complete weight enumerators MacWilliams identity and the symmetrized w…
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…