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math.NT2025
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…
math.NT2025
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…