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» Lattices and Spherical Designs
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TIT
2008
106views more  TIT 2008»
14 years 9 months ago
Design of Spherical Lattice Space-Time Codes
In this paper, we propose a systematic procedure for designing spherical lattice (space
Narayan Prasad, Inaki Berenguer, Xiaodong Wang
89
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ANTS
2010
Springer
268views Algorithms» more  ANTS 2010»
15 years 1 months ago
Lattices and Spherical Designs
Gabriele Nebe
DCC
2001
IEEE
15 years 9 months ago
The Invariants of the Clifford Groups
The automorphism group of the Barnes-Wall lattice Lm in dimension 2m (m = 3) is a subgroup of index 2 in a certain "Clifford group" Cm of structure 21+2m + .O+ (2m, 2). ...
Gabriele Nebe, Eric M. Rains, Neil J. A. Sloane
SIAMNUM
2010
120views more  SIAMNUM 2010»
14 years 4 months ago
Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere
A set XN of N points on the unit sphere is a spherical t-design if the average value of any polynomial of degree at most t over XN is equal to the average value of the polynomial o...
Congpei An, Xiaojun Chen, Ian H. Sloan, Robert S. ...
71
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FOCS
2008
IEEE
15 years 4 months ago
Spherical Cubes and Rounding in High Dimensions
What is the least surface area of a shape that tiles Rd under translations by Zd ? Any such shape must have volume 1 and hence surface area at least that of the volume-1 ball, nam...
Guy Kindler, Ryan O'Donnell, Anup Rao, Avi Wigders...