295 citations · 306 across the 8 of their papers we have counts for
8 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…
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…
Bounds and Constructions of Quantum Locally Recoverable Codes from Quantum CSS Codes
Gaojun Luo, Bocong Chen, Martianus Frederic Ezerman +1
Classical locally recoverable codes (LRCs) have become indispensable in distributed storage systems. They provide efficient recovery in terms of localized errors. Quantum LRCs have…
Improved Spectral Bound for Quasi-Cyclic Codes
Gaojun Luo, Martianus Frederic Ezerman, San Ling +1
Spectral bounds form a powerful tool to estimate the minimum distances of quasi-cyclic codes. They generalize the defining set bounds of cyclic codes to those of quasi-cyclic codes…
A Construction of Asymptotically Optimal Cascaded CDC Schemes via Combinatorial Designs
Yingjie Cheng, Gaojun Luo, Xiwang Cao +2
A coded distributed computing (CDC) system aims to reduce the communication load in the MapReduce framework. Such a system has nodes, input files, and Reduce functions.…
Strongly Multiplicative and 3-Multiplicative Linear Secret Sharing Schemes
Zhifang Zhang, Mulan Liu, Yeow Meng Chee +2
Strongly multiplicative linear secret sharing schemes (LSSS) have been a powerful tool for constructing secure multiparty computation protocols. However, it remains open whether or…