Asymptotically dense spherical codes - Part II: Laminated spherical codes

IEEE Transactions on Information Theory

Volumn 43, Issue 6, 1997, Pages 1786-1798

  Hamkins, Jon ^a,b   Zeger, Kenneth ^a,c  

^a IEEE   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Asymptotic density; Laminated lattices; Packing; Source and channel coding; Spherical codes

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY); ENCODING (SYMBOLS);

ASYMPTOTIC DENSITY; LAMINATED SPHERICAL CODES; WRAPPED SPHERICAL CODES;

CODES (SYMBOLS);

EID: 0031269952     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.641545     Document Type: Article

References (9)

1. J. Hamkins and K. Zeger, "Asymptotically dense spherical codes - Part I: Wrapped spherical codes," this issue, pp. 1774-1785.
2. N. J. A. Sloane, anonymous ftp from netlib.att.com in directory netlib/att/math/sloane/doc, 1994.
3. J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices, and Groups. New York: Springer-Verlag, 1993.
4. I. M. Yaglom, "Some results concerning distributions in n-dimensional space," Appendix to Russian edition of Fejes Tóth, Lagerungen in der Ebene, auf der Kugel und in Raum, 1958.
5. A. A. El Gamal, L. A. Hemachandra, I. Shperling, and V. K. Wei, "Using simulated annealing to design good codes," IEEE Trans. Inform. Theory, vol. IT-33, pp. 116-123, Jan. 1987.
6. N. J. A. Sloane, "Tables of sphere packings and spherical codes," IEEE Trans. Inform. Theory, vol. IT-27, pp. 327-338, May 1981.
7. 3," Mathematika, vol. 33, pp. 137-147, 1986.
8. L. Fejes Tóth, "Kugelunterdeckungen und Kugelüberdeckungen in Räumen konstanter Krümmung," Arch. Math., vol. 10, pp. 307-313, 1959.
9. J. Hamkins, "Design and analysis of spherical codes," Ph.D. dissertation, Univ. of Illinois, Urbana-Champaign, IL, Sept. 1996.