메뉴 건너뛰기




Volumn 13, Issue , 2007, Pages 147-157

Uniqueness of the (22, 891, 1/4) spherical code

Author keywords

Kissing configuration; Leech lattice; Spherical code; Spherical design

Indexed keywords


EID: 34250826482     PISSN: None     EISSN: 10769803     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (17)
  • 1
    • 0001541486 scopus 로고
    • Uniqueness of certain spherical codes
    • Zbl 0411.05028, MR0617634 83a:94020
    • BANNAI, E.; SLOANE, N. J. A. Uniqueness of certain spherical codes. Canad. J. Math. 33 (1981), no. 2, 437-449. MR0617634 (83a:94020), Zbl 0411.05028.
    • (1981) Canad. J. Math , vol.33 , Issue.2 , pp. 437-449
    • BANNAI, E.1    SLOANE, N.J.A.2
  • 2
    • 34250893594 scopus 로고    scopus 로고
    • BROUWER, A. E.; COHEN, A. M.; NEUMAIER, A. Distance-regular graphs. Ergebnisse der Mathematik und ihrer Grenzgebiete (3), 18. Springer-Verlag, Berlin, 1989. MR1002568 (90e:05001), Zbl 0747.05073.
    • BROUWER, A. E.; COHEN, A. M.; NEUMAIER, A. Distance-regular graphs. Ergebnisse der Mathematik und ihrer Grenzgebiete (3), 18. Springer-Verlag, Berlin, 1989. MR1002568 (90e:05001), Zbl 0747.05073.
  • 3
    • 34250831282 scopus 로고    scopus 로고
    • Universally optimal distribution of points on spheres
    • arXiv:math.MG/0607446. MR2257398
    • COHN, H.; KUMAR, A. Universally optimal distribution of points on spheres. J. Amer. Math. Soc. 20 (2007), 99-148, arXiv:math.MG/0607446. MR2257398.
    • (2007) J. Amer. Math. Soc , vol.20 , pp. 99-148
    • COHN, H.1    KUMAR, A.2
  • 4
    • 34250828828 scopus 로고    scopus 로고
    • CONWAY, J.; SLOANE, N. J. A. Sphere packings, lattices and groups. Third edition. With additional contributions by E. Bannai, R. E. Borcherds, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. Grundlehren der Mathematischen Wissenschaften, 290. Springer-Verlag, New York, 1999. MR1662447 (2000b:11077), Zbl 0915.52003.
    • CONWAY, J.; SLOANE, N. J. A. Sphere packings, lattices and groups. Third edition. With additional contributions by E. Bannai, R. E. Borcherds, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov. Grundlehren der Mathematischen Wissenschaften, 290. Springer-Verlag, New York, 1999. MR1662447 (2000b:11077), Zbl 0915.52003.
  • 5
    • 14644404931 scopus 로고    scopus 로고
    • 7. Des. Codes Cryptogr. 34 (2005), no. 2-3, 333-337. MR2128339 (2005k:05058), Zbl 1056.05029.
    • 7. Des. Codes Cryptogr. 34 (2005), no. 2-3, 333-337. MR2128339 (2005k:05058), Zbl 1056.05029.
  • 6
    • 65649140960 scopus 로고
    • Spherical codes and designs
    • MR0485471 58 #5302, Zbl 0376.05015
    • DELSARTE, P.; GOETHALS, J.; SEIDEL, J. Spherical codes and designs. Geom. Dedicata 6 (1977), no. 3, 363-388. MR0485471 (58 #5302), Zbl 0376.05015.
    • (1977) Geom. Dedicata , vol.6 , Issue.3 , pp. 363-388
    • DELSARTE, P.1    GOETHALS, J.2    SEIDEL, J.3
  • 7
    • 34250887884 scopus 로고    scopus 로고
    • ELKIES, N. Lattices, linear codes, and invariants. I, II. Notices Amer. Math. Soc. 47 (2000), 1238-1245 and 1382-1391. MR1784239 (2001g:11110) and MR1794130 (2001k:11128), Zbl 0992.11041 and Zbl 1047.11065.
    • ELKIES, N. Lattices, linear codes, and invariants. I, II. Notices Amer. Math. Soc. 47 (2000), 1238-1245 and 1382-1391. MR1784239 (2001g:11110) and MR1794130 (2001k:11128), Zbl 0992.11041 and Zbl 1047.11065.
  • 8
    • 84944814465 scopus 로고
    • On the number of information symbols in difference-set cyclic codes
    • MR0201218 34 #1102, Zbl 0166.15402
    • GRAHAM, R. L.; MACWILLIAMS, F. J. On the number of information symbols in difference-set cyclic codes. Bell System Tech. J. 45 (1966), 1057-1070. MR0201218 (34 #1102), Zbl 0166.15402.
    • (1966) Bell System Tech. J , vol.45 , pp. 1057-1070
    • GRAHAM, R.L.1    MACWILLIAMS, F.J.2
  • 9
    • 0002468745 scopus 로고
    • Bounds for packings on a sphere and in space
    • MR0514023 58 #24018, Zbl 0407.52005
    • KABATIANSKY, G. A.; LEVENSHTEIN, V. I. Bounds for packings on a sphere and in space. Problems of Information Transmission 14 (1978), no. 1, 1-17. MR0514023 (58 #24018), Zbl 0407.52005.
    • (1978) Problems of Information Transmission , vol.14 , Issue.1 , pp. 1-17
    • KABATIANSKY, G.A.1    LEVENSHTEIN, V.I.2
  • 10
    • 1842805273 scopus 로고
    • Five-dimensional non-lattice sphere packings
    • MR0220170 36 #3236, Zbl 0153.51904
    • LEECH, J. Five-dimensional non-lattice sphere packings. Canad. Math. Bull. 10 (1967), 387-393. MR0220170 (36 #3236), Zbl 0153.51904.
    • (1967) Canad. Math. Bull , vol.10 , pp. 387-393
    • LEECH, J.1
  • 11
    • 34249842879 scopus 로고
    • Designs as maximum codes in polynomial metric spaces
    • Zbl 0767.05097, MR1192833 93j:05012
    • LEVENSHTEIN, V. I. Designs as maximum codes in polynomial metric spaces. Acta Appl. Math. 29 (1992), no. 1-2, 1-82. MR1192833 (93j:05012), Zbl 0767.05097.
    • (1992) Acta Appl. Math , vol.29 , Issue.1-2 , pp. 1-82
    • LEVENSHTEIN, V.I.1
  • 12
    • 0000137160 scopus 로고
    • On the p-rank of the design matrix of a difference set
    • MR0242696 39 #4026, Zbl 0169.32104
    • MACWILLIAMS, F. J.; MANN, H. B. On the p-rank of the design matrix of a difference set. Information and Control 12 (1968), 474-488. MR0242696 (39 #4026), Zbl 0169.32104.
    • (1968) Information and Control , vol.12 , pp. 474-488
    • MACWILLIAMS, F.J.1    MANN, H.B.2
  • 13
    • 34250829416 scopus 로고    scopus 로고
    • MACWILLIAMS, F. J.; SLOANE, N. J. A. The theory of error-correcting codes. North-Holland Mathematical Library, 16. North-Holland Publishing Company, Amsterdam-New York-Oxford, 1977. MR0465509 (57 #5408a) and MR0465510 (57 #5408b), Zbl 0657.94010.
    • MACWILLIAMS, F. J.; SLOANE, N. J. A. The theory of error-correcting codes. North-Holland Mathematical Library, 16. North-Holland Publishing Company, Amsterdam-New York-Oxford, 1977. MR0465509 (57 #5408a) and MR0465510 (57 #5408b), Zbl 0657.94010.
  • 15
    • 0011659284 scopus 로고
    • On the p-rank of the incidence matrix of points and hyperplanes in a finite projective geometry
    • MR0251628 40 #4855, Zbl 0185.24305
    • SMITH, K. J. C. On the p-rank of the incidence matrix of points and hyperplanes in a finite projective geometry. J. Combinatorial Theory 7 (1969), 122-129. MR0251628 (40 #4855), Zbl 0185.24305.
    • (1969) J. Combinatorial Theory , vol.7 , pp. 122-129
    • SMITH, K.J.C.1
  • 16
    • 34250838967 scopus 로고    scopus 로고
    • TITS, J. Buildings of spherical type and finite BN-pairs. Lecture Notes in Mathematics, 386. Springer-Verlag, Berlin-New York, 1974. MR0470099 (57 #9866), Zbl 0295.20047.
    • TITS, J. Buildings of spherical type and finite BN-pairs. Lecture Notes in Mathematics, 386. Springer-Verlag, Berlin-New York, 1974. MR0470099 (57 #9866), Zbl 0295.20047.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.