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Volumn 114, Issue 6, 2007, Pages 1133-1147

Improved Delsarte bounds for spherical codes in small dimensions

Author keywords

Kissing number; Linear programming bound; Spherical codes

Indexed keywords


EID: 34250803846     PISSN: 00973165     EISSN: 10960899     Source Type: Journal    
DOI: 10.1016/j.jcta.2006.12.001     Document Type: Article
Times cited : (13)

References (13)
  • 3
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    • Bounds for unrestricted codes, by linear programming
    • Delsarte P. Bounds for unrestricted codes, by linear programming. Philips Res. Rep. 27 (1972) 272-289
    • (1972) Philips Res. Rep. , vol.27 , pp. 272-289
    • Delsarte, P.1
  • 4
    • 85041979556 scopus 로고
    • An algebraic approach to the association schemes of coding theory
    • vi+97 pp
    • Delsarte P. An algebraic approach to the association schemes of coding theory. Philips Res. Rep. Suppl. 10 (1973) vi+97 pp
    • (1973) Philips Res. Rep. Suppl. , vol.10
    • Delsarte, P.1
  • 6
    • 0001197443 scopus 로고
    • Über die Abgrenzung der Eigenwerte einer Matrix
    • Geršgorin S. Über die Abgrenzung der Eigenwerte einer Matrix. Izv. Akad. Nauk. SSSR Ser. Mat. 7 (1931) 749-754
    • (1931) Izv. Akad. Nauk. SSSR Ser. Mat. , vol.7 , pp. 749-754
    • Geršgorin, S.1
  • 7
    • 0003360039 scopus 로고
    • Spherical Harmonics
    • Springer-Verlag, Berlin
    • Müller C. Spherical Harmonics. Lecture Notes in Math. vol. 17 (1966), Springer-Verlag, Berlin
    • (1966) Lecture Notes in Math. , vol.17
    • Müller, C.1
  • 9
    • 32344448282 scopus 로고    scopus 로고
    • The kissing problem in three dimensions
    • Musin O.R. The kissing problem in three dimensions. Discrete Comput. Geom. 35 (2006) 375-384
    • (2006) Discrete Comput. Geom. , vol.35 , pp. 375-384
    • Musin, O.R.1
  • 10
    • 0001878701 scopus 로고
    • Positive definite functions on spheres
    • Schoenberg I.J. Positive definite functions on spheres. Duke Math. J. 9 (1942) 96-107
    • (1942) Duke Math. J. , vol.9 , pp. 96-107
    • Schoenberg, I.J.1
  • 11
  • 12
    • 34250865943 scopus 로고    scopus 로고
    • N.J.A. Sloane, with the collaboration of R.H. Hardin, W.D. Smith and others, Tables of Spherical Codes, published electronically at http://www.research.att.com/~njas/packings/
  • 13
    • 0036770826 scopus 로고    scopus 로고
    • An upper bound for the contact number in dimension 9
    • Vsemirnov M.A., and Rzhevskii M.G. An upper bound for the contact number in dimension 9. Russian Math. Surveys 57 5 (2002) 1015-1016
    • (2002) Russian Math. Surveys , vol.57 , Issue.5 , pp. 1015-1016
    • Vsemirnov, M.A.1    Rzhevskii, M.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.