Some New Classes of Quantum MDS Codes From Constacyclic Codes
From MaRDI portal
Publication:2977319
DOI10.1109/TIT.2015.2450235zbMath1359.81101OpenAlexW1489937486MaRDI QIDQ2977319
Publication date: 28 April 2017
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/tit.2015.2450235
Related Items
Two new classes of quantum MDS codes ⋮ Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance ⋮ Quantum MDS codes with relatively large minimum distance from Hermitian self-orthogonal codes ⋮ A family of negacyclic BCH codes of length \(n=\frac{q^{2m}-1}{2} \) ⋮ A class of constacyclic BCH codes ⋮ A class of constacyclic BCH codes and new quantum codes ⋮ A different construction for some classes of quantum MDS codes ⋮ Nonbinary quantum codes from constacyclic codes over polynomial residue rings ⋮ Entanglement-assisted quantum codes from cyclic codes and negacyclic codes ⋮ A class of constacyclic codes are generalized Reed-Solomon codes ⋮ Quantum MDS codes with new length and large minimum distance ⋮ Two families of entanglement-assisted quantum MDS codes from constacyclic codes ⋮ Construction of quantum MDS codes from generalized Reed–Solomon codes ⋮ Some construction of entanglement-assisted quantum MDS codes ⋮ New entanglement-assisted quantum MDS codes with length \(n = \frac{q^2+1}{5}\) ⋮ Optimal constructions of quantum and synchronizable codes from repeated-root cyclic codes of length \(3p^s\) ⋮ Constructions of quantum MDS codes ⋮ Hulls of constacyclic codes over finite non-chain rings and their applications in quantum codes construction ⋮ Some new quantum codes from constacyclic codes ⋮ On the constructions of quantum MDS convolutional codes ⋮ A class of Hermitian dual-containing constacyclic codes and related quantum codes ⋮ Entanglement-assisted quantum MDS codes constructed from negacyclic codes ⋮ A family of Hermitian dual-containing constacyclic codes and related quantum codes ⋮ Construction of quantum negacyclic BCH codes ⋮ New entanglement-assisted MDS quantum codes from constacyclic codes ⋮ Cyclic codes and some new entanglement-assisted quantum MDS codes ⋮ On the construction of quantum MDS codes ⋮ Some families of quantum BCH codes ⋮ Quantum codes from repeated-root cyclic and negacyclic codes of length \(4p^s\) over \(\mathbb{F}_{p^m} \) ⋮ Two families of entanglement-assisted quantum MDS codes from cyclic codes ⋮ Entanglement-assisted quantum MDS codes from negacyclic codes ⋮ Entanglement-assisted quantum MDS codes constructed from constacyclic codes ⋮ Quantum MDS codes with large minimum distance ⋮ Some families of asymmetric quantum MDS codes constructed from constacyclic codes ⋮ Two classes of new optimal asymmetric quantum codes ⋮ An application of constacyclic codes to entanglement-assisted quantum MDS codes ⋮ Quantum cyclic codes over \( \mathbb{Z}_m \) ⋮ Three new classes of entanglement-assisted quantum MDS codes from cyclic codes ⋮ New quantum constacyclic codes ⋮ Two classes of entanglement-assisted quantum MDS codes from generalized Reed-Solomon codes ⋮ Hermitian dual-containing narrow-sense constacyclic BCH codes and quantum codes