3 papers
cs.IT2026
Galois Hulls of Generalized Roth-Lempel Codes and Their Applications to EAQECCs
Xuefei Wu, Qi Liu, Yingchun Chen +1
The dimension of a Galois hull is an important parameter in the construction of entanglement-assisted quantum error-correcting codes. In this paper, we study generalized Roth-Lempe…
cs.IT2026
Generalized Roth--Lempel Codes: NMDS Characterization, Hermitian Self-Orthogonality, and Quantum Constructions
Qi Liu, Xuefei Wu, Yingchun Cheng +1
In their seminal 1989 work (IEEE Trans. Inf. Theory 35(3):655-657), Roth and Lempel constructed a well-known family of non-Reed-Solomon maximum distance separable (MDS) codes. For…
math.FA2024
Some study of the approximate orthogonality connected with integral orthogonalities
Ranran Wang, Qi Liu, Jinyu Xia +1
In this paper, we investigate a novel form of approximate orthogonality that is based on integral orthogonality. Additionally, we establish the fundamental properties of this new a…