3 papers
math.CO2026
Nonexistence of certain classes of generalized bent functions: Revisiting the element partition method
Shi Ying, Yingpu Deng
We obtain new nonexistence results for two classes of generalized bent functions from to , called type generalized bent functions. The…
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…