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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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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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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MDS Constacyclic Codes and MDS Symbol-Pair Constacyclic Codes
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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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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SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES [PDF]
Journal of Algebraic Systems, 2020 Let $mathbb{Z}_p$ be the finite field of integers modulo $p$, where $p>3$ is a prime integer. This paper presents new constructions of linear codes over $mathbb{Z}_p$.
A. Rafieepour, M. Mazrooei
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Exploring new lengths for q-ary quantum MDS codes with larger distance [PDF]
PLoS ONEXianmang He +3 more
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Hamming Distance of Constacyclic Codes of Length
IEEE Access, 2021 Let $p$ be any prime, $s$ and $m$ be positive integers. In this paper, we completely determine the Hamming distance of all constacyclic codes of length $p^s$ over the finite commutative chain ring $\mathbb {F}_{p^m}+ u\mathbb {F}_{p^m} + u^{2 ...
Hai Q. Dinh +3 more
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On the Existence of XOR-Based Codes for Private Information Retrieval with Private Side Information
Entropy, 2021 We consider the problem of Private Information Retrieval with Private Side Information (PIR-PSI), wherein the privacy of the demand and the side information are jointly preserved. Although the capacity of the PIR-PSI setting is known, we observe that the
Murali Krishnan K. H., Jagadeesh Harshan
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