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Some extremal self-dual codes and unimodular lattices in dimension 40
2013
Finite Fields and Their Applications
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In this paper, binary extremal singly even self-dual codes of length 40 and extremal odd unimodular lattices in dimension 40 are studied. ...
We give a classification of extremal singly even self-dual codes of length 40. ...
The authors would like to thank Masaaki Kitazume and Hiroki Shimakura for useful discussions. ...
doi:10.1016/j.ffa.2013.01.009
fatcat:vamylw7g4zhabm6lc4ljrq7ywu
Some Extremal Self-Dual Codes and Unimodular Lattices in Dimension 40
[article]
2012
arXiv
pre-print
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In this paper, binary extremal singly even self-dual codes of length 40 and extremal odd unimodular lattices in dimension 40 are studied. ...
We give a classification of extremal singly even self-dual codes of length 40. ...
The authors would like to thank Masaaki Kitazume and Hiroki Shimakura for useful discussions. ...
arXiv:1111.2637v2
fatcat:f2fcastktncexpleihjx3uaowa
High-Performance Computation of Distributed-Memory Parallel 3D Voronoi and Delaunay Tessellation
2014
SC14: International Conference for High Performance Computing, Networking, Storage and Analysis
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Computing a Voronoi or Delaunay tessellation from a set of points is a core part of the analysis of many simulated and measured datasets: N-body simulations, molecular dynamics codes, and LIDAR point clouds ...
The primary contribution of this paper is a new parallel Delaunay and Voronoi tessellation algorithm that automatically determines which neighbor points need to be exchanged among the subdomains of a spatial ...
We are especially grateful to Salman Habib, Katrin Heitmann, Hal Finkel, and Adrian Pope of the HACC team at Argonne for the use of their data; George Zagaris of Kitware for use of his HACC GenericIO library ...
doi:10.1109/sc.2014.86
dblp:conf/sc/PeterkaMP14
fatcat:angrbgzcg5eo7nx75ztt5ogoby
Covering radius---Survey and recent results
1985
IEEE Transactions on Information Theory
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codes, and new results on the least covering radius of any linear [II, k] code. ...
There are a number of upper and lower bounds, including asymptotic results, a few exact determinations of covering radius, some extensive relations with other aspects of coding theory through the Reed-Muller ...
Using Hamming codes and this bound, we
self-dual codes, and all have covering radius 6 [2]. E. ...
doi:10.1109/tit.1985.1057043
fatcat:bq2zv7acnbapta45kd7lkbca7u
THEAGORAHIGH-RESOLUTION GALAXY SIMULATIONS COMPARISON PROJECT. II. ISOLATED DISK TEST
2016
Astrophysical Journal
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Systematic differences exist, for example, between mesh-based and particle-based codes in the low density region, and between more diffusive and less diffusive schemes in the high density tail of the density ...
Quantities such as velocity dispersions are very robust (agreement within a few tens of percent at all radii) while measures like newly-formed stellar clump mass functions show more significant variation ...
Unlike conventional versions of CHANGA or GASOLINE, the supernovae thermal energy, mass, and metals are directly distributed to the 64 neighboring gas particles. 63 Gas particles that are neighbors of ...
doi:10.3847/1538-4357/833/2/202
fatcat:ugapyvik2fam7lsed6uyuylgae
Cosmos++: Relativistic Magnetohydrodynamics on Unstructured Grids with Local Adaptive Refinement
2005
Astrophysical Journal
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immediate neighbors. ...
A number of tests are presented to demonstrate robustness of the numerical algorithms and adaptive mesh framework over a wide spectrum of problems, boosts, and astrophysical applications, including relativistic ...
This work was performed under the auspices of the U.S. Department of Energy by University of California, Lawrence Livermore National Laboratory under Contract W-7405-Eng-48. ...
doi:10.1086/497294
fatcat:4toebbomvbbpfcijpuuczzr4ne
Comparing AMR and SPH Cosmological Simulations. I. Dark Matter and Adiabatic Simulations
2005
Astrophysical Journal Supplement Series
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We compare two cosmological hydrodynamic simulation codes in the context of hierarchical galaxy formation: The SPH code GADGET, and the Eulerian AMR code ENZO. ...
Both codes represent dark matter with the N-body method, but use different gravity solvers and fundamentally different approaches to hydrodynamics. ...
Dept. of Energy, and supported by its contract W-7405-ENG-36 to Los Alamos National Laboratory. ...
doi:10.1086/432645
fatcat:j6zmwge2pjgz5gfkqswkg63kr4
Practical Polytope Volume Approximation
2018
ACM Transactions on Mathematical Software
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To carry out this efficiently we experimentally correlate the effect of parameters, such as random walk length and number of sample points, on accuracy and runtime. ...
Our publicly available code is significantly faster than exact computation and more accurate than existing approximation methods. ...
Acknowledgments This work is co-financed by the European Union (European Social Fund -ESF) and Greek national funds through the Operational Program "Education and Lifelong Learning" of the National Strategic ...
doi:10.1145/3194656
fatcat:wjlnyv2p7nfuxhkk6ubdtidyjq
Coset codes. I. Introduction and geometrical classification
1988
IEEE Transactions on Information Theory
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The known types of coset codes, as well as a number of new classes that systematize and generalize known codes, are classified and compared in terms of these parameters. ...
A coset code is defined by a lattice partition A / A and by a binary encoder C that selects a sequence of cosets of the lattice A'. ...
For example, the Schlafli lattice D4 is self-dual, because its complex code formula is D4 = +G2 + (2, 1, 2) , and the (2,1,2) code is self-dual. ...
doi:10.1109/18.21245
fatcat:25ensgzutjfatdzjolp6kjj5jq
The Arepo public code release
[article]
2020
arXiv
pre-print
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, and is extensively documented in order to assist adoption of the code by new scientific users. ...
We introduce the public version of the cosmological magnetohydrodynamical moving-mesh simulation code Arepo. ...
The authors would like to thank the full user base of Arepo for their continued encouragement to realize a public release of the code, and for their long-standing efforts in putting the code to great scientific ...
arXiv:1909.04667v2
fatcat:dt5ujxdlejhlvizzdmpfq6afla
Wireless Sensor Network Protocols
[chapter]
2005
Handbook of Algorithms for Wireless Networking and Mobile Computing
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This list highlights just a few of the open research questions. ...
Given the numerous current and envisioned applications for sensor networks, it is likely that research on ways to make these networks better will continue for years to come. ...
DV-Hop In networks with extremely sparse beacon deployment, the DV-Hop algorithm may be used for node positioning [64] . ...
doi:10.1201/9781420035094.sec8
fatcat:i4wgiel5qfbihmxnl5jw4wluay
Bonded interactions and the crystal chemistry of minerals: a review
2008
Zeitschrift für Kristallographie - Crystalline Materials
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Connections established during last century between bond length, radii, bond strength, bond valence and crystal and molecular chemistry are briefly reviewed followed by a survey of the physical properties ...
The experimental Si–O bond lengths and the Si–O–Si angle, the Si–O bond energy and the bond critical point properties for crystal quartz are comparable with those calculated for the H ...
[64] predicted the positions of the H atoms of the (OH) 4 defect by extending the vectors from the positions of each of the four O atoms of the Si2O 4 oxyanion through the maxima of the domains at ...
doi:10.1524/zkri.2008.0002
fatcat:vjzun6vvdzdifimx44z6zdepn4
HACC: Simulating sky surveys on state-of-the-art supercomputing architectures
2016
New Astronomy
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We present a description of the design philosophy of HACC, the underlying algorithms and code structure, and outline implementation details for several specific architectures. ...
Here we report on HACC (Hardware/Hybrid Accelerated Cosmology Code), a recently developed and evolving cosmology N-body code framework, designed to run efficiently on diverse computing architectures and ...
Some of the results presented here result from awards of computer time provided by the Innovative and Novel Computational Impact on Theory and Experiment (INCITE) and ASCR Leadership Computing Challenge ...
doi:10.1016/j.newast.2015.06.003
fatcat:iyqto7f725ejznn36t5s4czm6m
GROMACS 3.0: a package for molecular simulation and trajectory analysis
2001
Journal of Molecular Modeling
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Much effort has been devoted to achieving extremely high performance on both workstations and parallel computers. ...
Starting with version 3.0, GROMACS is available under the GNU General Public License from http://www.gromacs.org. of the QM/MM interface code that is currently under construction. ...
of the dual processor Pentium III. ...
doi:10.1007/s008940100045
fatcat:jsno6c264becbfi6apnf7gynim
A Review on the Contact Mechanics Modeling of Rough Surfaces in the Elastic Regime: Fundamentals, Theories, and Numerical Implementations
[chapter]
2022
Tribology [Working Title]
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A second multi-scale-based approach, considering the self-affine nature of the rough surface, also known as Persson's theory, is briefly discussed. ...
Finally, all the mentioned methods are applied to a rough gold surface measured by Atomic Force Microscope (AFM) and the evolution of the real contact area with loading is analyzed. ...
Vladislav Yastrebov and Prof. Marco Paggi for their immense help and extremely relevant explanations during the workshops organized at Mines-Paristech France and IMT-Lucca Italy, respectively. ...
doi:10.5772/intechopen.102358
fatcat:il5ku5ywtvfbpfspdv74qyaxpe
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