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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…