Euclidean and Hermitian Hulls of MDS Codes and Their Applications to EAQECCs
From MaRDI portal
Publication:5123943
DOI10.1109/TIT.2019.2950245zbMath1448.94258arXiv1812.09019OpenAlexW3099628384WikidataQ114084349 ScholiaQ114084349MaRDI QIDQ5123943
Shixin Zhu, Weijun Fang, Fang-Wei Fu, Lanqiang Li
Publication date: 29 September 2020
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.09019
Related Items (37)
New Galois hulls of GRS codes and application to EAQECCs ⋮ New Galois hulls of generalized Reed-Solomon codes ⋮ MDS codes with euclidean and Hermitian hulls of flexible dimensions and their applications to EAQECCs ⋮ Generic constructions of MDS Euclidean self-dual codes via GRS codes ⋮ Entanglement-assisted quantum codes from cyclic codes and negacyclic codes ⋮ New MDS EAQECCs derived from constacyclic codes over \(\mathbb{F}_{q^2} + v \mathbb{F}_{q^2}\) ⋮ Some construction of entanglement-assisted quantum MDS codes ⋮ Some new entanglement-assisted quantum error-correcting MDS codes from generalized Reed-Solomon codes ⋮ On MDS codes with Galois hulls of arbitrary dimensions ⋮ New MDS EAQECCs from constacyclic codes over finite non-chain rings ⋮ New MDS entanglement-assisted quantum codes from MDS Hermitian self-orthogonal codes ⋮ Constructions of symplectic LCD MDS codes from quasi-cyclic codes ⋮ Several classes of Galois self-orthogonal MDS codes and related applications ⋮ Hulls of constacyclic codes over finite non-chain rings and their applications in quantum codes construction ⋮ MDS or NMDS LCD codes from twisted Reed-Solomon codes ⋮ Two families of entanglement-assisted quantum codes constructed from cyclic codes ⋮ A class of Hermitian dual-containing constacyclic codes and related quantum codes ⋮ Constructing quantum error-correcting codes that require a variable amount of entanglement ⋮ 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 ⋮ Hulls of double cyclic codes ⋮ Some new entanglement-assisted quantum error-correcting MDS codes with length \(\frac{q^2+1}{13} \) ⋮ New entanglement-assisted quantum MDS codes with maximal entanglement ⋮ On Euclidean hulls of MDS codes ⋮ Entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes ⋮ New entanglement-assisted quantum MDS codes derived from generalized Reed-Solomon codes ⋮ Linear \(\ell\)-intersection pairs of MDS codes and their applications to AEAQECCs ⋮ On the constructions of entanglement-assisted quantum MDS codes ⋮ Two classes of entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes ⋮ QEC and EAQEC codes from cyclic codes over non-chain rings ⋮ Constacyclic codes over \(\mathbb{F}_{q^2}[u/\langle u^2-w^2 \rangle\) and their application in quantum code construction] ⋮ Some new families of entanglement-assisted quantum MDS codes derived from negacyclic codes ⋮ Maximal entanglement EAQECCs from cyclic and constacyclic codes over \(\mathbb{F}_q+v_1\mathbb{F}_q+\cdots +v_{s-1}\mathbb{F}_q\) ⋮ Construction of new entanglement-assisted quantum MDS codes via cyclic codes ⋮ Entanglement-assisted quantum error correction codes with length \(n=q^2+1\) ⋮ Hermitian hulls of constacyclic codes and their applications to quantum codes
This page was built for publication: Euclidean and Hermitian Hulls of MDS Codes and Their Applications to EAQECCs
