2024/05/10 by Li, Yang, Zhu, Shixin, Martínez-Moro, Edgar
#94B05 15B05 12E10 #FOS: Computer and information sciences #Information Theory (cs.IT)
paper · doi:10.48550/arxiv.2405.06292
In this paper, we present four constructions of general self-orthogonal matrix-product codes associated with Toeplitz matrices. The first one relies on the dual of a known general dual-containing matrix-product code; the second one is founded on a specific family of matrices, where we provide an efficient algorithm for generating them on the basis of Toeplitz matrices and it has an interesting application in producing new non-singular by columns quasi-unitary matrices; and the last two ones are based on the utilization of certain special Toeplitz matrices. Concrete examples and detailed comparisons are provided. As a byproduct, we also find an application of Toeplitz matrices, which is closely related to the constructions of quantum codes.