8 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…
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…
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…
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…
A further study on the mass formula for linear codes with prescribed hull dimension
Shitao Li, Minjia Shi, Yang Li +1
Finding a mass formula for a given class of linear codes is a fundamental problem in combinatorics and coding theory. In this paper, we consider the action of the unitary (resp. sy…
An open problem and a conjecture on binary linear complementary pairs of codes
Shitao Li, Minjia Shi, San Ling
The existence of -ary linear complementary pairs (LCPs) of codes with has been completely characterized so far. This paper gives a characterization for the existence of b…