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- W3198830274 abstract "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." @default.
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- W3198830274 date "2021-08-27" @default.
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- W3198830274 title "New Galois Hulls of GRS Codes and Application to EAQECCs" @default.
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- W3198830274 doi "https://doi.org/10.1007/s12095-021-00525-8" @default.
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