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…
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…
On general self-orthogonal matrix-product codes associated with Toeplitz matrices
Yang Li, Shixin Zhu, Edgar Martínez-Moro
In this paper, we present four constructions of {general} self-orthogonal matrix-product codes associated with Toeplitz matrices. The first one relies on the {dual} of a known {gen…
A family of linear codes that are either non-GRS MDS codes or NMDS codes
Yang Li, Zhonghua Sun, Shixin Zhu
Both maximum distance separable (MDS) codes that are not equivalent to generalized Reed-Solomon (GRS) codes (non-GRS MDS codes) and near MDS (NMDS) codes have nice applications in…
New ternary self-orthogonal codes and related LCD codes from weakly regular plateaued functions
Dengcheng Xie, Shixin Zhu, Yang Li
A linear code is said to be self-orthogonal if it is contained in its dual. Self-orthogonal codes are of interest because of their important applications, such as for constructing…
On -MDS codes and a conjecture on infinite families of -MDS codes
Yang Li, Shixin Zhu, Edgar Martínez-Moro
The class of -maximum distance separable (-MDS) codes {is a} generalization of maximum distance separable (MDS) codes {that} has attracted a lot of attention due to its…
On Galois self-orthogonal algebraic geometry codes
Yun Ding, Shixin Zhu, Xiaoshan Kai +1
Galois self-orthogonal (SO) codes are generalizations of Euclidean and Hermitian SO codes. Algebraic geometry (AG) codes are the first known class of linear codes exceeding the Gil…