6 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)…
Constructing Good Abelian Codes via Shift Bounds and Genetic Algorithms
Cong Yu, Hao Chen, Zhonghua Sun +1
This paper investigates the construction of linear codes via abelian codes over finite fields. By exploiting the algebraic structure of multivariate polynomial quotient rings, we d…
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…
The Support Designs of Several Families of Lifted Linear Codes
Cunsheng Ding, Zhonghua Sun, Qianqian Yan
A generator matrix of a linear code $\C$ over $\gf(q)$ is also a matrix of the same rank over any extension field $\gf(q^\ell)$ and generates a linear code of the same length,…
Two classes of constacyclic codes with a square-root-like lower bound
Tingfang Chen, Zhonghua Sun, Conghui Xie +2
Constacyclic codes over finite fields are an important class of linear codes as they contain distance-optimal codes and linear codes with best known parameters. They are interestin…