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Volumn 28, Issue 1, 2002, Pages 107-114

Improved linear programming bounds for antipodal spherical codes

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EID: 0036665942     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00454-001-0080-5     Document Type: Article
Times cited : (4)

References (14)
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    • (1972) Handbook of Mathematical Functions
    • Abramowitz, M.1    Stegun, I.A.2
  • 2
    • 0001541486 scopus 로고
    • Uniqueness of certain spherical codes
    • E. Bannai and N. J. A. Sloane, 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
  • 3
    • 0012916922 scopus 로고
    • Nonexistence of certain symmetric spherical codes
    • P. Boyvalenkov, Nonexistence of certain symmetric spherical codes. Designs Codes Cryptography 3(1993), 69-74.
    • (1993) Designs Codes Cryptography , vol.3 , pp. 69-74
    • Boyvalenkov, P.1
  • 4
    • 0030519411 scopus 로고    scopus 로고
    • Packing lines, planes, etc.: Packings in Grassmannian space
    • J. H. Conway, R. H. Hardin, and N. J. A. Sloane, Packing lines, planes, etc.: packings in Grassmannian space. Experimental Math. 5(1996), 139-159. See also www.research.att.com/̃njas/grass/.
    • (1996) Experimental Math. , vol.5 , pp. 139-159
    • Conway, J.H.1    Hardin, R.H.2    Sloane, N.J.A.3
  • 7
    • 0016599548 scopus 로고
    • Bounds for systems of lines, and Jacobi polynomials
    • P. Deisarte, J.-M. Goethals, and J. J. Seidel, Bounds for systems of lines, and Jacobi polynomials. Philips Res. Rep. 30 (1975), 91-105.
    • (1975) Philips Res. Rep. , vol.30 , pp. 91-105
    • Deisarte, P.1    Goethals, J.-M.2    Seidel, J.J.3
  • 10
    • 0001794073 scopus 로고
    • The problem of the thirteen spheres
    • J. Leech, The problem of the thirteen spheres. Math. Gaz. 40 (1956), 22-23.
    • (1956) Math. Gaz. , vol.40 , pp. 22-23
    • Leech, J.1
  • 11
    • 0002613871 scopus 로고
    • Bounds for packings in metric spaces and certain applications
    • V. I. Levenshtein, Bounds for packings in metric spaces and certain applications. Problemi Kibemet. 40 (1983), 44-110.
    • (1983) Problemi Kibemet. , vol.40 , pp. 44-110
    • Levenshtein, V.I.1
  • 12
    • 0001646530 scopus 로고    scopus 로고
    • Universal bounds for codes and designs
    • (V. S. Pless and W. C. Huffman, eds.). North-Holland, Amsterdam
    • V. I. Levenshtein, Universal bounds for codes and designs. In Handbook of Coding Theory, Vol. 1 (V. S. Pless and W. C. Huffman, eds.). North-Holland, Amsterdam, 1998, pp. 499-648.
    • (1998) Handbook of Coding Theory , vol.1 , pp. 499-648
    • Levenshtein, V.I.1
  • 13
    • 0012965013 scopus 로고    scopus 로고
    • The dimensional family approach in (hyper)sphere packing: A typological study of new patterns, structures, and interdimensional functions
    • C. Musès, The dimensional family approach in (hyper)sphere packing: a typological study of new patterns, structures, and interdimensional functions. Appl. Math. Comput. 88 (1997), 1-26.
    • (1997) Appl. Math. Comput. , vol.88 , pp. 1-26
    • Musès, C.1
  • 14
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    • The number of minimum points of positive quadratic forms
    • G. L. Watson, The number of minimum points of positive quadratic forms. Dissertationes Math. 84 (1971), 1-43.
    • (1971) Dissertationes Math. , vol.84 , pp. 1-43
    • Watson, G.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.