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Pliable Fraction Repetition Codes for Access-balancing in Distributed Storage
《数学进展》2025年第1期73-84,共12页LI Yueting 
Supported in part by the National Key R&D Program of China(No.2020YFA0712300);NSFC(No.61872353)。
Fraction repetition(FR)codes are integral in distributed storage systems(DSS)with exact repair-by-transfer,while pliable fraction repetition codes are vital for DSSs in which both the per-node storage and repetition d...
关键词:distributed storage system pliable fraction repetition code access balancing resolvable transversal packing 
Subplanes of PG(2,qr), Ruled Varieties V2r-12    in PG( 2r,q), and Related Codes
《Open Journal of Discrete Mathematics》2024年第4期54-71,共18页Rita Vincenti 
In this note we consider ruled varieties V22r−1of PG(2r,q), generalizing some results shown for r=2,3in previous papers. By choosing appropriately two directrix curves, a V22r−1represents a non-affine subplane of orde...
关键词:Finite Geometry Translation Planes SPREADS VARIETIES 
On Isodual Double Toeplitz Codes
《Journal of Systems Science & Complexity》2024年第5期2196-2206,共11页SHI Minjia XU Li SOLÉ Patrick 
supported by the National Natural Science Foundation of China under Grant No.12071001。
Double Toeplitz(shortly DT)codes are introduced here as a generalization of double circulant codes.The authors show that such a code is isodual,hence formally self-dual(FSD).FSD codes form a far-reaching generalizatio...
关键词:Double circulant codes double Toeplitz codes isodual codes formally self-dual codes 
Optimization of Artificial Viscosity in Production Codes Based on Gaussian Regression Surrogate Models
《Communications on Applied Mathematics and Computation》2024年第3期1521-1550,共30页Vitaliy Gyrya Evan Lieberman Mark Kenamond Mikhail Shashkov 
This work was performed under the auspices of the National Nuclear Security Administration of the US Department of Energy at Los Alamos National Laboratory under Contract No.89233218CNA000001;The Authors gratefully acknowledge the support of the US Department of Energy National Nuclear Security Administration Advanced Simulation and Computing Program.LA-UR-22-33159.
To accurately model flows with shock waves using staggered-grid Lagrangian hydrodynamics, the artificial viscosity has to be introduced to convert kinetic energy into internal energy, thereby increasing the entropy ac...
关键词:OPTIMIZATION Artificial viscosity Gaussian regression surrigate model 
Recurrent neural network decoding of rotated surface codes based on distributed strategy
《Chinese Physics B》2024年第4期322-330,共9页李帆 李熬庆 甘启迪 马鸿洋 
Project supported by Natural Science Foundation of Shandong Province,China (Grant Nos.ZR2021MF049,ZR2022LLZ012,and ZR2021LLZ001)。
Quantum error correction is a crucial technology for realizing quantum computers.These computers achieve faulttolerant quantum computing by detecting and correcting errors using decoding algorithms.Quantum error corre...
关键词:quantum error correction rotated surface code recurrent neural network distributed strategy 
On Some Properties of Graph of Prefix Code
《Journal of Applied Mathematics and Physics》2024年第4期1571-1581,共11页Nikolai I. Krainiukov Mikhail E. Abramyan Boris F. Melnikov 
We investigate decomposition of codes and finite languages. A prime decomposition is a decomposition of a code or languages into a concatenation of nontrivial prime codes or languages. A code is prime if it cannot be ...
关键词:Finite Languages Minimal Deterministic Automata CONCATENATION CODES Graph of Automaton Free Algebra 
Orthogonal Combinatorial Raman Codes Enable Rapid High-Throughput-Out Library Screening of Cell-Targeting Ligands
《Research》2024年第1期199-208,共10页Yuchen Tang Xingxing Zheng Tingjuan Gao 
the National Natural Science Foundation of China(22076058);Central China Normal University(CCNU210-31102).
High-throughput assays play an important role in the fields of drug discovery,genetic analysis,and clinical diagnostics.Although super-capacity coding strategies may facilitate labeling and detecting large numbers of ...
关键词:enable THROUGHPUT allowed 
Three New Classes of Subsystem Codes
《Wuhan University Journal of Natural Sciences》2024年第1期38-44,共7页LI Hui LIU Xiusheng HU Peng 
Supported by Research Funds of Hubei Province(D20144401 and Q20174503)。
In this paper,we construct three classes of Clifford subsystem maximum distance separable(MDS)codes based on Reed-Solomon codes and extended generalized Reed-Solomon codes over finite fields Fq for specific code lengt...
关键词:Clifford subsystem codes Reed-Solomon codes generator matrices 
Approximate error correction scheme for three-dimensional surface codes based reinforcement learning
《Chinese Physics B》2023年第10期229-240,共12页曲英杰 陈钊 王伟杰 马鸿洋 
Project supported by the Natural Science Foundation of Shandong Province,China(Grant Nos.ZR2021MF049,ZR2022LLZ012,and ZR2021LLZ001)。
Quantum error correction technology is an important method to eliminate errors during the operation of quantum computers.In order to solve the problem of influence of errors on physical qubits,we propose an approximat...
关键词:fault-tolerant quantum computing surface code approximate error correction reinforcement learning 
A survey of the study of combinatorial batch code
《Frontiers of Mathematics in China》2023年第5期301-312,共12页Dongdong JIA Yuebo SHEN Gengsheng ZHANG 
A combinatorial batch code has strong practical motivation in the distributed storage and retrieval of data in a database.In this survey,we give a brief introduction to the combinatorial batch codes and some progress.
关键词:Combinatorial batch codes optimal CBC uniform CBC set system 
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