10 papers
Active Sculpting: morphodynamics of internally stirred active vesicles
Devadevan M M, Brato Chakrabarti
Active flows are often confined by soft, deformable boundaries that they can push against, reshape, and in turn get reorganized by. Motivated by this interplay, we combine theory a…
Subspace coverings and generalized covering radii of generalized Zetterberg codes
Shitao Li, Yang Li, Gaojun Luo +1
Generalized covering radii measure how many columns of a parity-check matrix are needed to generate several syndromes simultaneously. Their finite-geometric counterparts are $(ρ,t)…
On the exact quantum chromatic number of generalized Johnson graphs
Gaojun Luo, Xiwang Cao, Shitao Li +1
The quantum chromatic number is a fundamental parameter in the study of nonlocal games, capturing the extent to which entanglement can improve performance in distributed tasks. In…
Entanglement-Assisted Quantum Locally Recoverable Codes: Characterizations, Bounds, and Constructions
Yang Li, San Ling, Zhenliang Lu +2
Quantum locally recoverable codes (qLRCs) allow a single qudit erasure to be corrected by accessing only a small number of other qudits. Standard CSS and Hermitian constructions, h…
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…
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…
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…
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…