Results 1 to 10 of about 35,366 (273)
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
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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
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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
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Application of Constacyclic codes to Quantum MDS Codes [PDF]
IEEE Transactions on Information Theory, 2014 Quantum maximal-distance-separable (MDS) codes form an important class of quantum codes. To get $q$-ary quantum MDS codes, it suffices to find linear MDS codes $C$ over $\mathbb{F}_{q^2}$ satisfying $C^{\perp_H}\subseteq C$ by the Hermitian construction ...
Chen, Bocong, Ling, San, Zhang, Guanghui
core +3 more sources
Filomat, 2018 Linear codes with complementary duals (LCD) have a great deal of significance amongst linear codes. Maximum distance separable (MDS) codes are also an important class of linear codes since they achieve the greatest error correcting and detecting ...
Koroglu, Mehmet E., Sarı, Mustafa
core +5 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
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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
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Partial MDS Codes With Regeneration [PDF]
IEEE Transactions on Information Theory, 2021 Extended version of arXiv:2001 ...
Lukas Holzbaur +3 more
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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
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Projective MDS Codes Over GF(27)
مجلة بغداد للعلوم, 2021 MDS code is a linear code that achieves equality in the Singleton bound, and projective MDS (PG-MDS) is MDS code with independents property of any two columns of its generator matrix.
Emad Bakr Abdulkareem Al-Zangana
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