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Volumn 30, Issue 3, 2009, Pages 625-637

Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps

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EID: 59149093629     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejc.2008.07.017     Document Type: Article
Times cited : (19)

References (17)
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    • Bachoc, C.1
  • 2
    • 54149083021 scopus 로고    scopus 로고
    • New upper bounds for kissing numbers from semidefinite programming
    • Bachoc C., and Vallentin F. New upper bounds for kissing numbers from semidefinite programming. J. Amer. Math. Soc. 21 (2008) 909-924
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    • Bachoc, C.1    Vallentin, F.2
  • 3
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    • Hilbert distances and positive definite functions
    • Bochner S. Hilbert distances and positive definite functions. Ann. of Math. 42 (1941) 647-656
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    • Bochner, S.1
  • 5
    • 0033295981 scopus 로고    scopus 로고
    • CSDP, A C library for semidefinite programming
    • Borchers B. CSDP, A C library for semidefinite programming. Optim. Methods Softw. 11 (1999) 613-623
    • (1999) Optim. Methods Softw. , vol.11 , pp. 613-623
    • Borchers, B.1
  • 6
    • 0001541486 scopus 로고
    • Uniqueness of certain spherical codes
    • Bannai E., and Sloane N.J.A. Uniqueness of certain spherical codes. Canad J. Math. 33 (1981) 437-449
    • (1981) Canad J. Math. , vol.33 , pp. 437-449
    • Bannai, E.1    Sloane, N.J.A.2
  • 8
    • 85041979556 scopus 로고
    • An algebraic approach to the association schemes of coding theory
    • vi+97
    • Delsarte P. An algebraic approach to the association schemes of coding theory. Philips Res. Rep. Suppl. (1973) vi+97
    • (1973) Philips Res. Rep. Suppl.
    • Delsarte, P.1
  • 10
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    • Ten-neighbor packing of equal balls
    • Fejes Tóth G. Ten-neighbor packing of equal balls. Periodica Math. Hungar. 12 (1981) 125-127
    • (1981) Periodica Math. Hungar. , vol.12 , pp. 125-127
    • Fejes Tóth, G.1
  • 12
    • 33847262592 scopus 로고    scopus 로고
    • Optimal arrangements in packing congruent balls in a spherical container
    • Kuperberg W. Optimal arrangements in packing congruent balls in a spherical container. Discrete Comput. Geom. 37 (2007) 205-212
    • (2007) Discrete Comput. Geom. , vol.37 , pp. 205-212
    • Kuperberg, W.1
  • 13
    • 0038247240 scopus 로고
    • On bounds for packing in n-dimensional Euclidean space
    • Levenshtein V.I. On bounds for packing in n-dimensional Euclidean space. Soviet Math. Dokl. 20 (1979) 417-421
    • (1979) Soviet Math. Dokl. , vol.20 , pp. 417-421
    • Levenshtein, V.I.1
  • 14
    • 33847327007 scopus 로고    scopus 로고
    • The one-sided kissing number in four dimensions
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  • 15
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    • O.R. Musin, Bounds for codes by semidefinite programming, September 2006 (preprint). arXiv:math.MG/0609155
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    • New bounds on the number of unit spheres that can touch a unit sphere in n dimensions
    • Odlyzko A.M., and Sloane N.J.A. New bounds on the number of unit spheres that can touch a unit sphere in n dimensions. J. Combin. Theory Ser. A 26 (1979) 210-214
    • (1979) J. Combin. Theory Ser. A , vol.26 , pp. 210-214
    • Odlyzko, A.M.1    Sloane, N.J.A.2
  • 17
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    • Positive polynomials on compact semi-algebraic sets
    • Putinar M. Positive polynomials on compact semi-algebraic sets. Indiana Univ. Math. J. 42 (1993) 969-984
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.