5 papers
Notes on the LVP and CVP in -adic Fields
Chi Zhang, Mingqian Yao
This paper explores computational methods for solving the Longest Vector Problem (LVP) and Closest Vector Problem (CVP) in -adic fields. Leveraging the non-Archimedean property…
An Explicit Construction of Orthogonal Basis in -adic Fields
Chi Zhang, Yingpu Deng
In 2021, the -adic signature scheme and public-key encryption cryptosystem were introduced. These schemes have good efficiency but are shown to be not secure. The attack succeed…
Norm Orthogonal Bases and Invariants of -adic Lattices
Chi Zhang, Yingpu Deng, Zhaonan Wang
In 2018, the longest vector problem (LVP) and the closest vector problem (CVP) in -adic lattices were introduced. These problems are closely linked to the orthogonalization proc…
An Attack on -adic Lattice Public-key Cryptosystems and Signature Schemes
Chi Zhang
Lattices have many significant applications in cryptography. In 2021, the -adic signature scheme and public-key encryption cryptosystem were introduced. They are based on the Lo…
Additive Biderivations of Incidence Algebras
Zhipeng Guan, Chi Zhang
Let be a commutative ring with unity, and let be a locally finite poset. The aim of the paper is to provide an explicit description of the additive biderivations…