3 papers
cs.IT2024
Minimal Ternary Linear Codes from Vectorial Functions
Yanjun Li, Haibin Kan, Fangfang Liu +3
The study on minimal linear codes has received great attention due to their significant applications in secret sharing schemes and secure two-party computation. Until now, numerous…
cs.CR2023
Trace Monomial Boolean Functions with Large High-Order Nonlinearities
Jinjie Gao, Haibin Kan, Yuan Li +2
Exhibiting an explicit Boolean function with a large high-order nonlinearity is an important problem in cryptography, coding theory, and computational complexity. We prove lower bo…
cs.IT2023
Characterization for a generic construction of bent functions and its consequences
Yanjun Li, Jinjie Gao, Haibin Kan +3
In this letter, we give a characterization for a generic construction of bent functions. This characterization enables us to obtain another efficient construction of bent functions…