New Asymptotic Bounds on the Size of Multiple Packings of the Euclidean Sphere |
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| Authors: | Vladimir Blinovsky Simon Litsyn |
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| Affiliation: | (1) Centre for Suicide Research, Department of Psychiatry, University of Oxford, Warneford Hospital, Oxford, OX3 7JX, UK;(2) National Suicide Research Foundation, 1 Perrott Avenue, Cork, Ireland;(3) Centre for Suicide Prevention, University of Manchester, 2nd Floor, University Place, Oxford Road, Manchester, M13 9PL, UK;(4) Derbyshire Healthcare NHS Foundation Trust, Level 2 Rehabilitation Centre, Royal Derby Hospital, Uttoxeter Road, Derby, DE22 3NE, UK;(5) Department of Social Medicine, University of Bristol, Canynge Hall, 39 Whatley Road, Bristol, BS8 2PS, UK |
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| Abstract: | Using lower bounds on components of the distance spectrum of a code on the Euclidean sphere obtained by linear programming, we derive new, better than known, upper bounds on the size of multiple packings of spherical caps on the surface of the sphere. |
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