65 citations · 337 across the 40 of their papers we have counts for
42 papers
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…
Hermitian Hulls of Rational Algebraic Geometry Codes and Applications in Quantum Codes
Lin Sok, Martianus Frederic Ezerman, Ling San
Interest in the hulls of linear codes has been growing rapidly. More is known when the inner product is Euclidean than Hermitian. A shift to the latter is gaining traction. The foc…
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…
Characterization of Nearly Self-Orthogonal Quasi-Twisted Codes and Related Quantum Codes
Martianus Frederic Ezerman, Markus Grassl, San Ling +2
Quasi-twisted codes are used here as the classical ingredients in the so-called Construction X for quantum error-control codes. The construction utilizes nearly self-orthogonal cod…
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…
Griesmer Bound and Constructions of Linear Codes in -Symbol Metric
Gaojun Luo, Martianus Frederic Ezerman, Cem Güneri +2
The -symbol metric is a generalization of the Hamming metric. Linear codes, in the -symbol metric, have been used in the read channel whose outputs consist of consecutive…