3 papers
cs.IT2026
Cyclotomy, External Difference Families, and Algebraic Manipulation Detection Codes
Minfeng Shao, Miwako Mishima
External difference families (EDFs) are closely related to algebraic manipulation detection (AMD) codes, a cryptographic primitive that protects messages against additive tampering…
math.CO2020
Algebraic Manipulation Detection Codes via Highly Nonlinear Functions
Minfeng Shao, Ying Miao
In this paper, we study the relationship between algebraic manipulation detection (AMD) codes and highly nonlinear functions. As applications, on one hand, a generic construction f…
math.CO2019
On optimal weak algebraic manipulation detection codes and weighted external difference families
Minfeng Shao, Ying Miao
This paper provides a combinatorial characterization of weak algebraic manipulation detection (AMD) codes via a kind of generalized external difference families called bounded stan…