Title
Constructive Spherical Codes In 2(K) Dimensions
Abstract
We present a new approach to construct spherical codes in 2(k) dimensions, based on Hopf foliations. Using the fact that a sphere S2n-1 is foliated by manifolds S-cos eta(n-1) x S-sin eta(n-1), eta is an element of [0, pi/2], we distribute points in dimension 2(k) via a recursive algorithm from a basic construction in R-4. Our procedure outperforms some current constructive methods in several small-distance regimes and constitutes a compromise between optimality and computational effort.
Year
DOI
Venue
2019
10.1109/ISIT.2019.8849464
2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Henrique K. Miyamoto100.34
Henrique N. Sá Earp200.34
Sueli I. R. Costa3218.66