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cs.IT2026
Generalized Extended Codes with Applications in Entanglement-Assisted Qubit and Qutrit Codes
Yang Li, Martianus Frederic Ezerman, Shitao Li +2
We prove that any generalized extended code is monomially equivalent to the Hermitian dual of a code which is closely related to a second kind of extended code of $\C^{\perp_{\rm H…
cs.IT2025
Properties and Decoding of Twisted GRS Codes and Their Extensions
Yang Li, Martianus Frederic Ezerman, Huimin Lao +1
Maximum distance separable (MDS) codes that are not equivalent to generalized Reed-Solomon (GRS) codes are called non-GRS MDS codes. Alongside near MDS (NMDS) codes, they are appli…
cs.IT2024
On Linear Codes Whose Hermitian Hulls are MD
Gaojun Luo, Lin Sok, Martianus Frederic Ezerman +1
Hermitian hulls of linear codes are interesting for theoretical and practical reasons alike. In terms of recent application, linear codes whose hulls meet certain conditions have b…