From the 1 of 7 linked papers with an AI index.
7 papers
Entanglement-Assisted Quantum Locally Recoverable Codes: Characterizations, Bounds, and Constructions
Yang Li, San Ling, Zhenliang Lu +2
The paper proposes entanglement-assisted quantum locally recoverable codes (EAQLRCs) that relax dual‑containing constraints of standard constructions, provides locality and Singlet…
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…
A framework for constructing non-GRS MDS-NMDS codes from deep holes and its application
Yang Li, Zhenliang Lu, San Ling +1
Maximum distance separable (MDS) codes and near MDS (NMDS) codes are of particular interest in coding theory due to their optimal error-correcting capabilities and wide application…
Unique Decoding of Extended Subcodes of GRS Codes Using Error-Correcting Pairs
Yang Li, Zhenliang Lu, San Ling +2
Extended Han-Zhang codes are a class of linear codes where each code is either a non-generalized Reed-Solomon (non-GRS) maximum distance separable (MDS) code or a near MDS (NMDS) c…
Improved bounds and optimal constructions of pure quantum locally recoverable codes
Yang Li, Shitao Li, Gaojun Luo +1
By incorporating the concept of locality into quantum information theory, quantum locally recoverable codes (qLRCs) have been proposed, motivated by their potential applications in…
On optimal quantum LRCs from the Hermitian construction and -designs
Yang Li, Shitao Li, Huimin Lao +2
In a recent work, quantum locally recoverable codes (qLRCs) have been introduced for their potential application in large-scale quantum data storage and implication for quantum LDP…