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Volumn 16, Issue 4, 2005, Pages 609-625

The nonexistence of certain tight spherical designs

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EID: 85009737086     PISSN: 10610022     EISSN: 15477371     Source Type: Journal    
DOI: 10.1090/S1061-0022-05-00868-X     Document Type: Article
Times cited : (26)

References (16)
  • 2
    • 84972540639 scopus 로고
    • Tight spherical designs. I
    • MR0519045 (80b:05014)
    • E. Bannai and R. Damerell, Tight spherical designs. I, J. Math. Soc. Japan 31 (1979), 199–207.MR0519045 (80b:05014)
    • (1979) J. Math. Soc. Japan , vol.31 , pp. 199-207
    • Bannai, E.1    Damerell, R.2
  • 3
    • 84959811309 scopus 로고
    • Tight spherical designs. II
    • MR0576179 (81g:05024)
    • E. Bannai and R. Damerell, Tight spherical designs. II, J. London Math. Soc. (2) 21 (1980), 13–30.MR0576179 (81g:05024)
    • (1980) J. London Math. Soc , vol.2 , Issue.21 , pp. 13-30
    • Bannai, E.1    Damerell, R.2
  • 4
    • 0001541486 scopus 로고
    • Uniqueness of certain spherical codes
    • MR0617634 (83a:94020)
    • E. Bannai and N. J. A. Sloane, Uniqueness of certain spherical codes, Canad. J. Math. 33 (1981), 437–449.MR0617634 (83a:94020)
    • (1981) Canad. J. Math , vol.33 , pp. 437-449
    • Bannai, E.1    Sloane, N.J.A.2
  • 5
    • 0039169730 scopus 로고
    • On a problem of additive arithmetic. II
    • L. Carlitz, On a problem of additive arithmetic. II, Quart. J. Math. Oxford Ser. 3 (1932), 273–290.
    • (1932) Quart. J. Math. Oxford Ser , vol.3 , pp. 273-290
    • Carlitz, L.1
  • 6
    • 0003217113 scopus 로고    scopus 로고
    • Sphere packing, lattices and groups
    • 3rd ed, Springer-Verlag, New York, MR1662447 (2000b:11077)
    • J. H. Conway and N. J. A. Sloane, Sphere packing, lattices and groups, 3rd ed., Grundlehren Math. Wiss., vol. 290, Springer-Verlag, New York, 1999.MR1662447 (2000b:11077)
    • (1999) Grundlehren Math. Wiss , vol.290
    • Conway, J.H.1    Sloane, N.J.A.2
  • 7
    • 65649140960 scopus 로고
    • Spherical codes and designs
    • MR0485471 (58:5302)
    • P. Delsarte, J.-M. Goethals, and J. J. Seidel, Spherical codes and designs, Geom. Dedicata 6 (1977), 363–388.MR0485471 (58:5302)
    • (1977) Geom. Dedicata , vol.6 , pp. 363-388
    • Delsarte, P.1    Goethals, J.-M.2    Seidel, J.J.3
  • 8
    • 0007279839 scopus 로고
    • Spherical designs, Relations between Combinatorics and other Parts of Mathematics (Proc. Sympos. Pure Math., Ohio State Univ., Columbus, Ohio, 1978)
    • Amer. Math. Soc., Providence, RI, MR0525330 (82h:05014)
    • J.-M. Goethals and J. J. Seidel, Spherical designs, Relations between Combinatorics and other Parts of Mathematics (Proc. Sympos. Pure Math., Ohio State Univ., Columbus, Ohio, 1978), Proc. Sympos. Pure Math., vol. 34, Amer. Math. Soc., Providence, RI, 1979, pp. 255–272.MR0525330 (82h:05014)
    • (1979) Proc. Sympos. Pure Math , vol.34 , pp. 255-272
    • Goethals, J.-M.1    Seidel, J.J.2
  • 9
    • 0000293849 scopus 로고
    • The regular two-graph on 276 vertices
    • MR0384597 (52:5471)
    • J.-M. Goethals and J. J. Seidel, The regular two-graph on 276 vertices, Discrete Math. 12 (1975), 143–158.MR0384597 (52:5471)
    • (1975) Discrete Math , vol.12 , pp. 143-158
    • Goethals, J.-M.1    Seidel, J.J.2
  • 10
    • 0002192559 scopus 로고
    • The square sieve and consecutive square-free numbers
    • MR0730168 (85h:11050)
    • D. R. Heath-Brown, The square sieve and consecutive square-free numbers, Math. Ann. 266 (1984), 251–259.MR0730168 (85h:11050)
    • (1984) Math. Ann , vol.266 , pp. 251-259
    • Heath-Brown, D.R.1
  • 11
    • 39049147318 scopus 로고    scopus 로고
    • Sur certains designs sphériques liés
    • Enseign. Math., Gèneve, MR1878748 (2002k:11107)
    • J. Martinet, Sur certains designs sphériques liés à des réseaux entiers, Réseaux Euclidiens, Designs Sphériques et Formes Modulaires, Monogr. Enseign. Math., vol. 37, Enseign. Math., Gèneve, 2001, pp. 135–146.MR1878748 (2002k:11107)
    • (2001) Monogr. Enseign. Math , vol.37 , pp. 135-146
    • Martinet, J.1
  • 12
    • 0003331655 scopus 로고
    • Symmetric bilinear forms
    • Springer- Verlag, New York–Heidelberg, MR0506372 (58:22129)
    • J. Milnor and D. Husemoller, Symmetric bilinear forms, Ergeb. Math. Grenzgeb., vol. 73, Springer- Verlag, New York–Heidelberg, 1973.MR0506372 (58:22129)
    • (1973) Ergeb. Math. Grenzgeb. , vol.73
    • Milnor, J.1    Husemoller, D.2
  • 13
    • 0039762204 scopus 로고
    • On the frequency of pairs of square-free numbers with a given difference
    • MR0031507 (11:161e)
    • L. Mirsky, On the frequency of pairs of square-free numbers with a given difference, Bull. Amer. Math. Soc. 55 (1949), 936–939.MR0031507 (11:161e)
    • (1949) Bull. Amer. Math. Soc , vol.55 , pp. 936-939
    • Mirsky, L.1
  • 14
    • 84963015786 scopus 로고
    • Arithmetical pattern problems relating to divisibility by r-th powers, Proc. London
    • MR0028334 (10:431d)
    • L. Mirsky, Arithmetical pattern problems relating to divisibility by r-th powers, Proc. London Math. Soc. (2) 50 (1949), 497–508.MR0028334 (10:431d)
    • (1949) Math. Soc. (2) , vol.50 , pp. 497-508
    • Mirsky, L.1
  • 15
    • 85009932322 scopus 로고    scopus 로고
    • The strongly perfect lattices of dimension 10
    • MR1823200 (2002f:11081)
    • G. Nebe and B. Venkov, The strongly perfect lattices of dimension 10, J. Théor. Nombres Bordeaux 12 (2000), 503–518.MR1823200 (2002f:11081)
    • (2000) J. Théor. Nombres Bordeaux , vol.12 , pp. 503-518
    • Nebe, G.1    Venkov, B.2
  • 16
    • 0011057767 scopus 로고    scopus 로고
    • Réseaux et designs sphériques, Réseaux Euclidiens, Designs Sphériques et Formes Modulaires
    • Enseign. Math., Gèneve, MR1878745 (2002m:11061)
    • B. Venkov, Réseaux et designs sphériques, Réseaux Euclidiens, Designs Sphériques et Formes Modulaires, Monogr. Enseign. Math., vol. 37, Enseign. Math., Gèneve, 2001, pp. 10–86.MR1878745 (2002m:11061)
    • (2001) Monogr. Enseign. Math , vol.37 , pp. 10-86
    • Venkov, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.