3 papers
eess.SP2025
A Generalized Multidimensional Chinese Remainder Theorem (MD-CRT) for Multiple Integer Vectors
Guangpu Guo, Xiang-Gen Xia
Chinese remainder theorem (CRT) is widely applied in cryptography, coding theory, and signal processing. It has been extended to the multidimensional CRT (MD-CRT), which reconstruc…
eess.SP2025
Prime and Co-prime Integer Matrices
Xiang-Gen Xia, Guangpu Guo
This paper investigates prime and co-prime integer matrices and their properties. It characterizes all pairwise co-prime integer matrices that are also prime integer matrices. This…
eess.SP2025
A Construction of Pairwise Co-prime Integer Matrices of Any Dimension and Their Least Common Right Multiple
Guangpu Guo, Xiang-Gen Xia
Compared with co-prime integers, co-prime integer matrices are more challenging due to the non-commutativity. In this paper, we present a new family of pairwise co-prime integer ma…