3 papers
cs.IT2024
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…
cs.IT2023
Extended codes and deep holes of MDS codes
Yansheng Wu, Cunsheng Ding, Tingfang Chen
For a given linear code $\C$ of length over $\gf(q)$ and a nonzero vector $\bu$ in $\gf(q)^n$, Sun, Ding and Chen defined an extended linear code $\overline{\C}(\bu)$ of $\C$,…
cs.IT2023
The Extended Codes of Some Linear Codes
Zhonghua Sun, Cunsheng Ding, Tingfang Chen
The classical way of extending an linear code $\C$ is to add an overall parity-check coordinate to each codeword of the linear code $\C$. This extended code, denoted by…