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Keyword

spherical codes

Description: Finite sets of points on a sphere arranged to maximize the minimum angular separation, studied in coding theory and discrete geometry.
OpenAlex ID: keywords/spherical-codes
Grassmannian frames with applications to coding and communication
2003 · Thomas Strohmer, Robert W Heath · Applied and Computational Harmonic Analysis · 955
Spherical codes and designs
1977 · P. Delsarte, J. M. Goethals, et al. · Geometriae Dedicata · 926
McLaren’s improved snub cube and other new spherical designs in three dimensions
1996 · R. H. Hardin, N. J. A. Sloane · Discrete & Computational Geometry · 320
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Association schemes and coding theory
1998 · P. Delsarte, V.I. Levenshtein · IEEE Transactions on Information Theory · 219
Explicit Constructions of Rip Matrices and Related Problems
2010 · Jean Bourgain, Stephen Dilworth, et al. · 218
Using simulated annealing to design good codes
1987 · A.E. Gamal, L. Hemachandra, et al. · IEEE Transactions on Information Theory · 213
Explicit constructions of RIP matrices and related problems
2011 · Jean Bourgain, Stephen Dilworth, et al. · Duke Mathematical Journal · 180
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A survey on spherical designs and algebraic combinatorics on spheres
2009 · Eiichi Bannai, Etsuko Bannai · European Journal of Combinatorics · 169
Tables of sphere packings and spherical codes
1981 · N. Sloane · IEEE Transactions on Information Theory · 144
Unitary signal constellations for differential space-time modulation with two transmit antennas: parametric codes, optimal designs, and bounds
2002 · Xue-Bin Liang, Xiang-gen Xia · IEEE Transactions on Information Theory · 141
Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?
1951 · K. Schütte, B. L. van der Waerden · Mathematische Annalen · 124
Curves on a sphere, shift-map dynamics, and error control for continuous alphabet sources
2003 · V.A. Vaishampayan, S.I.R. Costa · IEEE Transactions on Information Theory · 106
Unique Arrangements of Points on a Sphere
1952 · L. L. Whyte · American Mathematical Monthly · 104
Extremal arrangements of points and unit charges on a sphere: equilibrium configurations revisited
1977 · Theodor William Melnyk, Osvald Knop, et al. · Canadian Journal of Chemistry · 102
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Tight Spherical Disigns, II
1980 · E. Bannai, R. M. Damerell · Journal of the London Mathematical Society · 92
On Two-Distance Sets in Euclidean Space
1977 · D. G. Larman, C. A. Rogers, et al. · Bulletin of the London Mathematical Society · 89
Codes on Euclidean Spheres
2001 · North-Holland mathematical library · 79
Discrete measures for spherical designs, eutactic stars and lattices
1988 · A. Neumaier, J.J. Seidel · Indagationes Mathematicae (Proceedings) · 73
Uniqueness of Certain Spherical Codes
1988 · E. Bannai, N. J. A. Sloane · Grundlehren der mathematischen Wissenschaften · 73
Different Sensor Placement Strategies for TDOA Based Localization
2007 · Bin Yang · IEEE International Conference on Acoustics Speech and Signal Processing · 72
Distributing Points on the Sphere, I
2003 · Ali Katanforoush, Mehrdad Shahshahani · Experimental Mathematics · 72
Uniqueness of Certain Spherical Codes
1981 · Eiichi Bannai, N. J. A. Sloane · Canadian Journal of Mathematics · 70
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Graphs, Tessellations, and Perfect Codes on Flat Tori
2004 · S.I.R. Costa, M. Muniz, et al. · IEEE Transactions on Information Theory · 69
Random Packings and Coverings of the Unit n-Sphere
1967 · A. D. Wyner · Bell System Technical Journal · 68
Arrangement of 24 points on a sphere
1961 · Raphael M. Robinson · Mathematische Annalen · 68
Works count: 792
Citation count: 9,129
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