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cs.IT2024
Galois self-orthogonal MDS codes with large dimensions
Ruhao Wan, Shixin Zhu
Let be a prime power, be an integer with and . In this paper, for a vector and a -ary linear code , we give some necessary and…
cs.IT2024
New MDS codes of non-GRS type and NMDS codes
Yujie Zhi, Shixin Zhu
Maximum distance separable (MDS) and near maximum distance separable (NMDS) codes have been widely used in various fields such as communication systems, data storage, and quantum c…
cs.IT2024
Three classes of propagation rules for generalized Reed-Solomon codes and their applications to EAQECCs
Ruhao Wan, Shixin Zhu
In this paper, we study the Hermitian hulls of generalized Reed-Solomon (GRS) codes over finite fields. For a given class of GRS codes, by extending the length, increasing the dime…