MDS Codes With Galois Hulls of Arbitrary Dimensions and the Related Entanglement-Assisted Quantum Error Correction
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Publication:5032634
DOI10.1109/TIT.2021.3117562zbMath1489.94185OpenAlexW3202718886MaRDI QIDQ5032634
Publication date: 17 February 2022
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/tit.2021.3117562
Other types of codes (94B60) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)
Related Items (11)
Construction methods for Galois LCD codes over finite fields ⋮ New MDS EAQECCs derived from constacyclic codes over \(\mathbb{F}_{q^2} + v \mathbb{F}_{q^2}\) ⋮ On MDS codes with Galois hulls of arbitrary dimensions ⋮ New MDS entanglement-assisted quantum codes from MDS Hermitian self-orthogonal codes ⋮ Several classes of Galois self-orthogonal MDS codes and related applications ⋮ Several new families of MDS EAQECCs with much larger dimensions and related application to EACQCs ⋮ Linear codes of larger lengths with Galois hulls of arbitrary dimensions and related entanglement-assisted quantum error-correcting codes ⋮ Galois hulls of special Goppa codes and related codes with application to EAQECCs ⋮ On the constructions of entanglement-assisted quantum MDS codes ⋮ Galois self-dual extended duadic constacyclic codes ⋮ Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes
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