Results 1 to 10 of about 9,399 (155)
Asymmetric Entanglement-Assisted Quantum MDS Codes Constructed from Constacyclic Codes [PDF]
Entropy, 2023 Due to the asymmetry of quantum errors, phase-shift errors are more likely to occur than qubit-flip errors. Consequently, there is a need to develop asymmetric quantum error-correcting (QEC) codes that can safeguard quantum information transmitted ...
Jianzhang Chen +7 more
doaj +2 more sources
MDS Constacyclic Codes and MDS Symbol-Pair Constacyclic Codes [PDF]
IEEE Access, 2021 Symbol-pair codes are used to protect against symbol-pair errors in high density data storage systems. One of the most important tasks in symbol-pair coding theory is to design MDS codes.
Hai Q. Dinh +3 more
doaj +2 more sources
Some new QEC MDS codes with large minimum distance [PDF]
Scientific ReportsThe advancement of Quantum Error-Correcting (QEC) Maximum Distance Separable (MDS) codes holds substantial importance in practical applications, substantially augmenting the reliability and efficiency of quantum communication and computing.
Lanqiang Li +3 more
doaj +2 more sources
Application of Classical Hermitian Self-Orthogonal MDS Codes to Quantum MDS Codes [PDF]
IEEE Transactions on Information Theory, 2010 In this paper, we first construct several classes of classical Hermitian self-orthogonal maximum distance separable (MDS) codes. Through these classical codes, we are able to obtain various quantum MDS codes. It turns out that many of our quantum codes are new in the sense that the parameters of our quantum codes cannot be obtained from all previous ...
Chaoping Xing, Lingfei Jin, San Ling
exaly +4 more sources
On the Weights of General MDS Codes [PDF]
IEEE Transactions on Information Theory, 2020 The weight spectra of MDS codes of length $ n $ and dimension $ k $ over the arbitrary alphabets are studied. For all $ q $-ary MDS codes of dimension $ k $ containing the zero codeword, it is shown that all $ k $ weights from $ n $ to $ n-k+1 $ are realized. The remaining case $ n=q+k-1 $ is also determined.
Tim L Alderson
exaly +3 more sources
Constructions of MDS-convolutional codes [PDF]
IEEE Transactions on Information Theory, 2001 Maximum-distance separable (MDS) convolutional codes are characterized through the property that the free distance attains the generalized singleton bound. The existence of MDS convolutional codes was established by two of the authors by using methods from algebraic geometry.
Joachim Rosenthal
exaly +3 more sources
A Family of Optimal Linear Functional-Repair Regenerating Storage Codes [PDF]
EntropyWe construct a family of linear optimal functional-repair regenerating storage codes with parameters {m,(n,k),(r,α,β)}={(2r−α+1)α/2,(r+1,r),(r,α,1)} for any integers r,α with 1≤α≤r, over any field when α∈{1,r−1,r}, and over any finite field Fq with q≥r−1
Henk D. L. Hollmann
doaj +2 more sources
Outcomes and Management of Pregnancies Screening Positive for Microdeletions 22q11.2, 15q11.2, 1p36, 4p, or 5p: A Retrospective Cohort Study [PDF]
The Application of Clinical GeneticsD Claire Miller, Devika Chawla, Summer Pierson, Katherine Johansen Taber Clinical Development, Myriad Genetics, Inc., Salt Lake City, UT, USACorrespondence: D Claire Miller, Clinical Development, Myriad Genetics, Inc., 322 N 2200 W, Salt Lake City, UT ...
Miller DC +3 more
doaj +1 more source
Partial MDS Codes With Regeneration [PDF]
IEEE Transactions on Information Theory, 2021 Extended version of arXiv:2001 ...
Lukas Holzbaur +3 more
openaire +2 more sources
Entanglement-Assisted Quantum Codes from Cyclic Codes
Entropy, 2022 Entanglement-assisted quantum-error-correcting (EAQEC) codes are quantum codes which use entanglement as a resource. These codes can provide better error correction than the (entanglement unassisted) codes derived from the traditional stabilizer ...
Francisco Revson F. Pereira +1 more
doaj +1 more source