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...
supported by the National Natural Science Foundation of China(NSFC)with project ID 62071498;the Guangdong National Science Foundation(GDNSF)with project ID 2024A1515010213.
Constituted by BCH component codes and its ordered statistics decoding(OSD),the successive cancellation list(SCL)decoding of U-UV structural codes can provide competent error-correction performance in the short-to-med...
Adolescence is a crucial period for character development and is particularly susceptible to parental influence due to the brain's malleability:This paper examines whether parenting styles can have a significant impac...
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...
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...
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...
supported by the grant from the Funding of Shanghai Sixth People Hospital(No.ynms202202).
Glycosylation,a crucial posttranslational modification,plays a significant role in numerous physiological and pathological processes.Lectin microarrays,which leverage the high specificity of lectins for sugar binding,...
Non-malleable code is an encoding scheme that is useful in situations where traditional error correction or detection is impossible to achieve.It ensures with high probability that decoded message is either completely...
supported in part by National Key R&D Program of China(Grant Nos.2022YFA1004900,2022YFA1005000);National Natural Science Foundation of China(Grant No.62272303)。
Locally repairable codes(LRCs),which can recover any symbol of a codeword by reading only a small number of other symbols,have been widely used in real-world distributed storage systems,such as Microsoft Azure Storage...
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...