Technical Program

Paper Detail

Paper Title Constructive spherical codes in 2ᵏ dimensions
Paper IdentifierWE2.R4.2
Authors Henrique Koji Miyamoto, CentraleSupélec, France; Henrique Nogueira de Sá Earp, Sueli Irene Rodrigues Costa, University of Campinas, Brazil
Session Lattice Codes
Location Odéon, Level 3
Session Time Wednesday, 10 July, 11:40 - 13:20
Presentation Time Wednesday, 10 July, 12:00 - 12:20
Manuscript  Click here to download the manuscript
Abstract We present a new approach to construct spherical codes in 2ᵏ dimensions, based on Hopf foliations. Using the fact that a sphere S²ⁿ⁻¹ is foliated by manifolds (Sⁿ⁻¹cosη × Sⁿ⁻¹sinη), η ∈ [0, π/2], we distribute points in dimension 2ᵏ via a recursive algorithm from a basic construction in ℝ⁴. Our procedure outperforms some current constructive methods in several small-distance regimes and constitutes a compromise between optimality and computational effort.