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Some extremal self-dual codes and unimodular lattices in dimension 40

Stefka Bouyuklieva, Iliya Bouyukliev, Masaaki Harada
2013 Finite Fields and Their Applications  
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]

Stefka Bouyuklieva, Iliya Bouyukliev, Masaaki Harada
2012 arXiv   pre-print
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

Tom Peterka, Dmitriy Morozov, Carolyn Phillips
2014 SC14: International Conference for High Performance Computing, Networking, Storage and Analysis  
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

G. Cohen, M. Karpovsky, H. Mattson, J. Schatz
1985 IEEE Transactions on Information Theory  
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


Ji-hoon Kim, Oscar Agertz, Romain Teyssier, Michael J. Butler, Daniel Ceverino, Jun-Hwan Choi, Robert Feldmann, Ben W. Keller, Alessandro Lupi, Thomas Quinn, Yves Revaz, Spencer Wallace (+31 others)
2016 Astrophysical Journal  
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

Peter Anninos, P. Chris Fragile, Jay D. Salmonson
2005 Astrophysical Journal  
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

Brian W. O'Shea, Kentaro Nagamine, Volker Springel, Lars Hernquist, Michael L. Norman
2005 Astrophysical Journal Supplement Series  
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

Ioannis Z. Emiris, Vissarion Fisikopoulos
2018 ACM Transactions on Mathematical Software  
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

G.D. Forney
1988 IEEE Transactions on Information Theory  
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]

Rainer Weinberger, Volker Springel, Rüdiger Pakmor
2020 arXiv   pre-print
, 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]

Mark Perillo, Wendi Heinzelman
2005 Handbook of Algorithms for Wireless Networking and Mobile Computing  
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

G. V. Gibbs, Robert T. Downs, David F. Cox, Nancy L. Ross, Charles T. Prewitt, Kevin M. Rosso, Thomas Lippmann, Armin Kirfel
2008 Zeitschrift für Kristallographie - Crystalline Materials  
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

Salman Habib, Adrian Pope, Hal Finkel, Nicholas Frontiere, Katrin Heitmann, David Daniel, Patricia Fasel, Vitali Morozov, George Zagaris, Tom Peterka, Venkatram Vishwanath, Zarija Lukić (+2 others)
2016 New Astronomy  
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

Erik Lindahl, Berk Hess, David van der Spoel
2001 Journal of Molecular Modeling  
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 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]

Farouk Maaboudallah, Mohamed Najah, Noureddine Atalla
2022 Tribology [Working Title]  
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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