Chi Zhang

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20242026

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math.NT2026

Notes on the LVP and CVP in $p$ -adic Fields

Chi Zhang, Mingqian Yao

This paper explores computational methods for solving the Longest Vector Problem (LVP) and Closest Vector Problem (CVP) in $p$ -adic fields. Leveraging the non-Archimedean property…

math.NT2025

An Explicit Construction of Orthogonal Basis in $p$ -adic Fields

Chi Zhang, Yingpu Deng

In 2021, the $p$ -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…

math.NT2025

Norm Orthogonal Bases and Invariants of $p$ -adic Lattices

Chi Zhang, Yingpu Deng, Zhaonan Wang

In 2018, the longest vector problem (LVP) and the closest vector problem (CVP) in $p$ -adic lattices were introduced. These problems are closely linked to the orthogonalization proc…

Notes on the LVP and CVP in p-adic Fields

An Explicit Construction of Orthogonal Basis in p-adic Fields

Norm Orthogonal Bases and Invariants of p-adic Lattices

Notes on the LVP and CVP in $p$ -adic Fields

An Explicit Construction of Orthogonal Basis in $p$ -adic Fields

Norm Orthogonal Bases and Invariants of $p$ -adic Lattices