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New Galois Hulls of GRS Codes and Application to EAQECCs

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 نشر من قبل Xiaolei Fang
 تاريخ النشر 2020
  مجال البحث الهندسة المعلوماتية
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Galois hulls of linear codes have important applications in quantum coding theory. In this paper, we construct some new classes of (extended) generalized Reed-Solomon (GRS) codes with Galois hulls of arbitrary dimensions. We also propose a general method on constructing GRS codes with Galois hulls of arbitrary dimensions from special Euclidean orthogonal GRS codes. Finally, we construct several new families of entanglement-assisted quantum error-correcting codes (EAQECCs) and MDS EAQECCs by utilizing the above results.



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