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Volumn 1993, Issue 5, 1993, Pages 125-136

On codes and siegel modular forms

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EID: 84963057467     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1155/S1073792893000121     Document Type: Article
Times cited : (27)

References (25)
  • 1
    • 0003238820 scopus 로고
    • Quadratic Forms and Hecke Operators
    • Springer- Verlag, Berlin
    • A.N. ANDRIANOV, Quadratic Forms and Hecke Operators, Grundlehren Math. Wiss. 286, Springer- Verlag, Berlin, 1987.
    • (1987) Grundlehren Math. Wiss , vol.286
    • Andrianov, A.N.1
  • 3
    • 0007205956 scopus 로고
    • PolynOmes de poids de certains codes et fonction thta de certain rseaux
    • M. BROU AND M. ENGUEHARD, PolynOmes de poids de certains codes et fonction thta de certain rseaux, Ann. Sci. tcole Norm. Sup. 6 (1973), 17-52.
    • (1973) Ann. Sci. Tcole Norm. Sup , vol.6 , pp. 17-52
    • Brou, M.1    Enguehard, M.2
  • 4
    • 38249012769 scopus 로고
    • The binary self-dual codes of length up to 32, a revised enumeration
    • J.H. CONWAY, V. PLESS, AND N. JOA. SLOANE, The binary self-dual codes of length up to 32, a revised enumeration, J. Combin. Theory Ser. A 60 (1992), 183-195.
    • (1992) J. Combin. Theory Ser. A , vol.60 , pp. 183-195
    • Conway, J.H.1    Pless, V.2    Sloane, N.3
  • 5
    • 0003316180 scopus 로고
    • Sphere Packings, Lattices, and Groups
    • Springer-Verlag, New York
    • J.H. CONWAY AND N. J. SLOANE, Sphere Packings, Lattices, and Groups, Grundlehren Math. Wiss. 290, Springer-Verlag, New York, 1988.
    • (1988) Grundlehren Math. Wiss , vol.290
    • Conway, J.H.1    Sloane, N.J.2
  • 7
    • 0003303901 scopus 로고
    • Siegelsche Modulfunktionen
    • Springer-Verlag, Berlin
    • E. FREITAG, Siegelsche Modulfunktionen, Grundlehren Math. Wiss. 254, Springer-Verlag, Berlin, 1983.
    • (1983) Grundlehren Math. Wiss , vol.254
    • Freitag, E.1
  • 8
    • 84962987574 scopus 로고
    • Ber die constanten Factoren der Thetareihen
    • Band 2, Springer-Verlag, Berlin
    • F.G. FROBENIUS, "ber die constanten Factoren der Thetareihen" in Gesammelte Abhandlungen, Band 2, Springer-Verlag, Berlin, 1968, 241-260.
    • (1968) Gesammelte Abhandlungen , pp. 241-260
    • Frobenius, F.G.1
  • 9
    • 0001298679 scopus 로고
    • Weight polynomials of self-dual codes and the MacWilliams identities
    • Nice, 1970, T6me 3, Gauthier-Villars, Paris
    • A.M. GLEASON, "Weight polynomials of self-dual codes and the MacWilliams identities" in Actes Congrs International des Math.maticiens, Nice, 1970, T6me 3, Gauthier-Villars, Paris, 1971, 211-215.
    • (1971) Actes Congrs International Des Math.Maticiens , pp. 211-215
    • Gleason, A.M.1
  • 10
    • 0000776671 scopus 로고
    • The biweight enumerator of self-dual orthogonal binary codes
    • W.C. HUFFMAN, The biweight enumerator of self-dual orthogonal binary codes, Discrete Math. 26 (1979), 129-143.
    • (1979) Discrete Math , vol.26 , pp. 129-143
    • Huffman, W.C.1
  • 11
    • 0347919016 scopus 로고
    • On Siegel modular varieties of level 3
    • T. IBUKIYAMA, On Siegel modular varieties of level 3, Internat. J. Math. 2 (1991), 17-35.
    • (1991) Internat. J. Math , vol.2 , pp. 17-35
    • Ibukiyama, T.1
  • 12
    • 0001057094 scopus 로고
    • On Sieoel modular forms of genus two, I
    • 84 (1962), 175-200; II
    • J. IGUSA, On Sieoel modular forms of genus two, I, American J. Math. 84 (1962), 175-200; II, 86 (1964), 392-412.
    • (1964) American J. Math , vol.86 , pp. 392-412
    • Igusa, J.1
  • 13
    • 0001057095 scopus 로고
    • On the graded ring of theta-constants
    • J. IGUSA, On the graded ring of theta-constants, American J. Math. 86 (1964), 219-246.
    • (1964) American J. Math , vol.86 , pp. 219-246
    • Igusa, J.1
  • 14
    • 0003301476 scopus 로고
    • Theta Functions
    • Springer-Verlag, Berlin
    • J. IGUSA, Theta Functions, Grundlehren Math. Wiss. 194, Springer-Verlag, Berlin, 1972.
    • (1972) Grundlehren Math. Wiss , vol.194
    • Igusa, J.1
  • 15
    • 0003226404 scopus 로고
    • Schottky's invariant and quadratic forms
    • E. B. Christoffel, 1979, Birkuser, Basel
    • J. IGUSA, "Schottky's invariant and quadratic forms" in E. B. Christoffel, Aachen/Monschau, 1979, Birkuser, Basel, 1981, 352-362.
    • (1981) Aachen/Monschau , pp. 352-362
    • Igusa, J.1
  • 16
    • 0003790929 scopus 로고
    • Introductory Lectures on Siegel Modular Forms
    • Cambridge Univ. Press, Cambridge
    • H. KLCIEN, Introductory Lectures on Siegel Modular Forms, Cambridge Stud. Adv. Math. 20, Cambridge Univ. Press, Cambridge, 1990.
    • (1990) Cambridge Stud. Adv. Math , vol.20
    • Klcien, H.1
  • 17
    • 0013173114 scopus 로고
    • Unimodular lattices and self-dual codes
    • Berkeley, 1986, Amer. Math. Soc., Providence
    • H.V. KOCH, "Unimodular lattices and self-dual codes" in Proceedings of the International Congress of Mathematicians, Berkeley, 1986, Amer. Math. Soc., Providence, 1987, 457- 465.
    • (1987) Proceedings of the International Congress of Mathematicians
    • Koch, H.V.1
  • 18
    • 0015432625 scopus 로고
    • Generalizations of Gleason's theorem on weight enumerators of self-dual codes
    • F.J. MACWLLAS, C. L. MALLOWS, AND N. J. A. SLOAYE, Generalizations of Gleason's theorem on weight enumerators of self-dual codes, IEEE Trans. Inform. Theory 1 (1972), 794-805.
    • (1972) IEEE Trans. Inform. Theory , vol.1 , pp. 794-805
    • Macwllas, F.J.1    Mallows, C.L.2    Sloaye, N.3
  • 19
    • 0011409771 scopus 로고
    • The Theory of Error Correcting Codes
    • Library, North-Holland, Amsterdam
    • F.J. MACWILLIAMS AND N. J. A. SLOANE, The Theory of Error Correcting Codes, North-Holland Math. Library 16, North-Holland, Amsterdam, 1978.
    • (1978) North-Holland Math , vol.16
    • Macwilliams, F.J.1    Sloane, N.2
  • 20
    • 24944553967 scopus 로고
    • Modular forms from codes
    • D.P. MANER, Modular forms from codes, Canad. J. Math. 32 (1980), 40-58.
    • (1980) Canad. J. Math , vol.32 , pp. 40-58
    • Maner, D.P.1
  • 21
    • 13244295951 scopus 로고
    • Ueber die quaterniire, endliche, lineare Substitutionsgruppe der Borchardt'schen Moduln
    • H. MASCHKE, Ueber die quaterniire, endliche, lineare Substitutionsgruppe der Borchardt'schen Moduln, Math. Ann. 80 (1887), 496-515.
    • (1887) Math. Ann , vol.80 , pp. 496-515
    • Maschke, H.1
  • 22
    • 33748314972 scopus 로고
    • On basis problem for Siegel modular forms of degree 2
    • M. OZEKI, On basis problem for Siegel modular forms of degree 2, Acta Arith. 31 (1976), 17- 30.
    • (1976) Acta Arith , vol.31
    • Ozeki, M.1
  • 23
    • 0001055974 scopus 로고
    • On the classification and enumeration of self-dual codes
    • V. PLESS AND N. J. A. SLOANE, On the classification and enumeration of self-dual codes, J. Combin. Theory Ser. A18 (1975), 313-335.
    • (1975) J. Combin. Theory Ser , vol.A18 , pp. 313-335
    • Pless, V.1    Sloane, N.2
  • 24
    • 0009336149 scopus 로고
    • Modular forms vanishing at the reducible points of the Siegel upper-half space
    • R. SASAKI, Modular forms vanishing at the reducible points of the Siegel upper-half space, J. Reine Angew. Math. 345 (1983), 111-121.
    • (1983) J. Reine Angew. Math , vol.345 , pp. 111-121
    • Sasaki, R.1
  • 25
    • 0001253686 scopus 로고
    • AND, Finite unitary reflection groups
    • G. C. SHEPARD AND J. A. TODD, Finite unitary reflection groups, Canad. J. Math. 6(1954), 274-304.
    • (1954) Canad. J. Math , vol.6 , pp. 274-304
    • Shepard, G.C.1    Todd, J.A.2


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