메뉴 건너뛰기




Volumn 78, Issue 1, 1997, Pages 92-119

Applications of coding theory to the construction of modular lattices

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031123901     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.1996.2763     Document Type: Article
Times cited : (137)

References (26)
  • 3
    • 51249165893 scopus 로고
    • Voisinages au sens de Kesner pour les réseaux quaternioniens
    • [B] C. Bachoc, Voisinages au sens de Kesner pour les réseaux quaternioniens, Comm. Math. Helvet. 70 (1995), 350-374.
    • (1995) Comm. Math. Helvet. , vol.70 , pp. 350-374
    • Bachoc, C.1
  • 5
    • 0018466879 scopus 로고
    • Self-dual codes over GF(3) and GF(4) of length not exceeding 16
    • [CPS] J. H. Conway, V. Pless, and N. J. A. Sloane, Self-dual codes over GF(3) and GF(4) of length not exceeding 16, IEEE Trans. Inform. Theory IT-25 (1979), 312-322.
    • (1979) IEEE Trans. Inform. Theory , vol.IT-25 , pp. 312-322
    • Conway, J.H.1    Pless, V.2    Sloane, N.J.A.3
  • 7
    • 0020759419 scopus 로고
    • The Coxeter-Todd lattice, the Mitchell group, and related sphere packings
    • [CS2] J. H. Conway and N. J. A. Sloane, The Coxeter-Todd lattice, the Mitchell group, and related sphere packings, Math. Proc. Cambridge Phil. Soc. 93 (1983), 421-440.
    • (1983) Math. Proc. Cambridge Phil. Soc. , vol.93 , pp. 421-440
    • Conway, J.H.1    Sloane, N.J.A.2
  • 8
    • 0001980187 scopus 로고
    • Self-dual codes over the integers modulo 4
    • [CS3] J. H. Conway and N J. A. Sloane, Self-dual codes over the integers modulo 4, J. Combin. Theory Ser. A 62 (1993), 30-45.
    • (1993) J. Combin. Theory Ser. A , vol.62 , pp. 30-45
    • Conway, J.H.1    Sloane, N.J.A.2
  • 9
    • 0003607354 scopus 로고    scopus 로고
    • An algebraic approach to the association schemes of coding theory
    • [D] P. Delsarte, An algebraic approach to the association schemes of coding theory, Philips Res. Rep. Suppl.
    • Philips Res. Rep. , Issue.SUPPL.
    • Delsarte, P.1
  • 10
    • 0001599639 scopus 로고
    • Some lattices over ℚ(√-3)
    • [F] W. Feit, Some lattices over ℚ(√-3), J. Algebra 52 (1978), 248-263.
    • (1978) J. Algebra , vol.52 , pp. 248-263
    • Feit, W.1
  • 13
    • 0002789907 scopus 로고
    • Upper bounds for modular forms, lattices and codes
    • [MOS2] C. L. Mallows, A. M. Odlysko, and N. J. A. Sloane, Upper bounds for modular forms, lattices and codes, J. Algebra 36 (1975), 68-76.
    • (1975) J. Algebra , vol.36 , pp. 68-76
    • Mallows, C.L.1    Odlysko, A.M.2    Sloane, N.J.A.3
  • 15
    • 0000183521 scopus 로고
    • Structures algébriques sur les réseaux
    • (S. David, Éd.), Séminaire de Théorie des Nombres de Paris, Cambridge Univ. Press, Cambridge, 1995
    • [Mar1] J. Martinet, Structures algébriques sur les réseaux, in "Number Theory" (S. David, Éd.), Séminaire de Théorie des Nombres de Paris, 1992-93, pp. 167-186, Cambridge Univ. Press, Cambridge, 1995.
    • (1992) Number Theory , pp. 167-186
    • Martinet, J.1
  • 18
    • 85030009884 scopus 로고    scopus 로고
    • n(ℚ) for 25 ≤n≤31
    • à paraître
    • n(ℚ) for 25 ≤n≤31, Comm. Algebra, à paraître.
    • Comm. Algebra
    • Nebe, G.1
  • 19
    • 0002524971 scopus 로고
    • Finite rational matrix groups
    • [NP] G. Nebe and W. Plesken, Finite rational matrix groups, Mem. Am. Math. Soc. 116 (1995), 556.
    • (1995) Mem. Am. Math. Soc. , vol.116 , pp. 556
    • Nebe, G.1    Plesken, W.2
  • 20
    • 84974115705 scopus 로고
    • An application of Siegel's formula over quaternion orders
    • [Q1] H.-G. Quebbemann, An application of Siegel's formula over quaternion orders, Mathematika 31 (1984), 12-16.
    • (1984) Mathematika , vol.31 , pp. 12-16
    • Quebbemann, H.-G.1
  • 21
    • 84974037884 scopus 로고
    • A construction of integral lattices
    • [Q2] H.-G. Quebbemann, A construction of integral lattices, Mathematika 31 (1984), 138-141.
    • (1984) Mathematika , vol.31 , pp. 138-141
    • Quebbemann, H.-G.1
  • 22
    • 38249036019 scopus 로고
    • Lattices with theta-functions for G(√2) and linear codes
    • [Q3] H.-G. Quebbemann, Lattices with theta-functions for G(√2) and linear codes, J. Algebra 105 (1987), 443-450.
    • (1987) J. Algebra , vol.105 , pp. 443-450
    • Quebbemann, H.-G.1
  • 23
    • 0001286595 scopus 로고
    • Modular lattices in Euclidean spaces
    • [Q4] H.-G. Quebbemann, Modular lattices in Euclidean spaces, J. Number Theory 54 (1995), 190-202.
    • (1995) J. Number Theory , vol.54 , pp. 190-202
    • Quebbemann, H.-G.1
  • 24
    • 0002144660 scopus 로고
    • Error-correcting codes and invariant theory: New applications of nineteenth century technique
    • [S] N. J. A. Sloane, Error-correcting codes and invariant theory: New applications of nineteenth century technique, Amer. Math. Monthly 84 (1977), 82-107.
    • (1977) Amer. Math. Monthly , vol.84 , pp. 82-107
    • Sloane, N.J.A.1
  • 26
    • 4043150580 scopus 로고
    • Arithmétique des algèbres de quaternions
    • Springer-Verlag, New York/Berlin
    • [V] M.-F. Vigneras, Arithmétique des algèbres de quaternions, Lecture Notes in Mathematics, Vol. 800, Springer-Verlag, New York/Berlin, 1980.
    • (1980) Lecture Notes in Mathematics , vol.800
    • Vigneras, M.-F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.