About n-D Sphere Packings

Arrangements of points on a n-D sphere which maximize minimum Euclidean distance

  • Reference: D. E. Lazic, V. Senk, I. P. Seskar, "Arrangements of points on a sphere which maximize the least distance," Bulletins for Applied Mathematics, vol. XLVII, no. 479/87, pp.7-21, Technical University, Budapest, 1987. (Contact: Vojin Senk vojinsek@EUnet.yu)

    • Examples of 3-D arrangements with 16, 32 and 72 points

  • Applied to coding in POLSK optical communication systems in:

    • Arrangements extracted from n-D lattices

    An example: 6-D consteallation extracted from the E-6 lattice at the distance 8 from the origin. Each point is a combination of two 3-D components with equal power (shown on separate spheres). More details : A. Pizurica, `` Signal Transmission in Optical Systems with Polarization Shift Keying Modulation,'' Master Thesis, University of Belgrade, Yugoslavia, Nov. 1997.