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» Lattices and Spherical Designs
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TIT
2008
106views more  TIT 2008»
13 years 4 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
ANTS
2010
Springer
268views Algorithms» more  ANTS 2010»
13 years 8 months ago
Lattices and Spherical Designs
Gabriele Nebe
DCC
2001
IEEE
14 years 4 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»
12 years 11 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. ...
FOCS
2008
IEEE
13 years 11 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...