Tables of sphere packings and spherical codes (original) (raw)

Sphere Packing and Error-Correcting Codes

Neil Sloane

Grundlehren der mathematischen Wissenschaften, 1999

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Sphere Packings and Error-Correcting Codes

Saul-Paul Sirag

Canadian Journal of Mathematics, 1971

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New sphere packings in dimensions 9-15

Neil Sloane

Bulletin of the American Mathematical Society

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New Asymptotic Bounds on the Size of Multiple Packings of the Euclidean Sphere

Simon Litsyn

Discrete & Computational Geometry, 2011

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Rigidity of spherical codes

Abhinav Kumar

Geometry & Topology, 2011

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Applications of polynomials to spherical codes and designs

Silvia Boumova

2002

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New bounds for multiple packings of Euclidean sphere

Vladimir Blinovsky

2000

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Spherical Codes from Lattices

João Eloir Strapasson

2018

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Cavity approach to sphere packing in Hamming space

A. Ramezanpour, Riccardo Zecchina

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A program for obtaining linear programming bounds for spherical codes

Peter Boyvalenkov

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Nonexistence of certain spherical codes

Peter Boyvalenkov

Comptes rendus de l'Académie bulgare des sciences: sciences mathématiques et naturelles

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NEW UPPER BOUNDS FOR SOME SPHERICAL CODES

Peter Boyvalenkov

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Linear programming bounds for spherical codes and designs

Peter Boyvalenkov

2000

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On polarization of spherical codes and designs

Maya Stoyanova

Cornell University - arXiv, 2022

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On Bounds on the Minimum Distance of Spherical Codes

Peter Boyvalenkov

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Upper bounds on the minimum distance of spherical codes

Peter Boyvalenkov

IEEE Transactions on Information Theory, 1996

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Indexes of spherical codes

Peter Boyvalenkov

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The Sphere-Packing Problem

Neil Sloane

Icm, 2002

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Locally Optimal 2-Periodic Sphere Packings

Alexei Andreanov

Discrete & Computational Geometry, 2019

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Constructive spherical codes near the Shannon bound

Patrick Sole

Designs, Codes and Cryptography, 2013

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Improved Delsarte bounds for spherical codes in small dimensions

Florian Pfender

Journal of Combinatorial Theory, Series A, 2007

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On Lattice Packings and Coverings of Asymmetric Limited-Magnitude Balls

Hengjia Wei

IEEE Transactions on Information Theory, 2021

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A Lower Bound on the Density of Sphere Packings via Graph Theory

Simon Litsyn

International Mathematics Research Notices

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Sphere Packing: Asymptotic Behavior and Existence of Solution

Marcelo Firer

2000

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Distributing points on the sphere: partitions, separation, quadrature and energy

Paul C Leopardi

2007

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A general combinatorial sphere decoder and its application

Chintha Tellambura

IEEE Communications Letters, 2000

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On spherical codes with inner products in a prescribed interval

Maya Stoyanova

Designs, Codes and Cryptography

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On concentric spherical codes and permutation codes with multiple initial codewords

Vivek Goyal

2009 IEEE International Symposium on Information Theory, 2009

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Algorithms for congruent sphere packing and applications

Jinhui Xu

Proceedings of the seventeenth annual symposium on Computational geometry - SCG '01, 2001

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Further lattice packings in high dimensions

Arie Bos

Mathematika, 1982

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Bounds for spherical codes: The Levenshtein framework lifted

Maya Stoyanova

2021

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Random Lattices and Random Sphere Packings: Typical Properties

Senya Shlosman

Moscow Mathematical Journal

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What are all the best sphere packings in low dimensions?

Neil Sloane

Discrete & Computational Geometry, 1995

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JAMS 1 Sphere Packing: asymptotic behavior and existence of solution

Marcelo Firer

2003

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Random perfect lattices and the sphere packing problem

Alexei Andreanov

Physical Review E, 2012

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