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cs.IT2024
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,…
cs.IT2024★ 1 cited
More MDS codes of non-Reed-Solomon type
Yansheng Wu, Ziling Heng, Chengju Li +1
MDS codes have diverse practical applications in communication systems, data storage, and quantum codes due to their algebraic properties and optimal error-correcting capability. I…
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 $\C$,…