J. Hamkins et K. Zeger, ASYMPTOTICALLY DENSE SPHERICAL CODES .2. LAMINATED SPHERICAL CODES, IEEE transactions on information theory, 43(6), 1997, pp. 1786-1798
Citations number
7
Categorie Soggetti
Information Science & Library Science","Engineering, Eletrical & Electronic
New spherical codes called laminated spherical codes are constructed i
n dimensions 2-49 using a technique similar to the construction of lam
inated lattices. Each spherical code is recursively constructed from e
xisting spherical codes in one lower dimension. Laminated spherical co
des outperform the best known spherical codes in the minimum distance
sense for many code sizes. The density of a laminated spherical code a
pproaches the density of the laminated lattice in one lower dimension,
as the minimum distance approaches zero. In particular, the three-dim
ensional laminated spherical code is asymptotically optimal, in the se
nse that its density approaches the Fejes Toth upper bound as the mini
mum distance approaches zero. Laminated spherical codes perform asympt
otically as well as wrapped spherical codes in those dimensions where
laminated lattices are optimal sphere packings.