메뉴 건너뛰기




Volumn 121, Issue 1, 1996, Pages 15-30

On the notion of Jacobi polynomials for codes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33748734063     PISSN: 03050041     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0305004196001399     Document Type: Article
Times cited : (52)

References (35)
  • 1
    • 21344447468 scopus 로고
    • Construction of Jacobi forms from certain combinatorial polynomials
    • E. BANNAI and M. OZEKI. Construction of Jacobi forms from certain combinatorial polynomials. Proc. Japan Academy Ser. A 72 (1990), 12-15.
    • (1990) Proc. Japan Academy Ser. A , vol.72 , pp. 12-15
    • Bannai, E.1    Ozeki, M.2
  • 4
    • 0001004462 scopus 로고
    • Polynôme des poids de certains codes et fonction théta de certains réseaux
    • e série, t.5 (1972), 157-181.
    • (1972) e Série , vol.5 , pp. 157-181
    • Broué, M.1    Enguehard, M.2
  • 5
    • 0041038103 scopus 로고
    • On the enumeration of self-dual codes
    • J. H. CONWAY and V. PLESS. On the enumeration of self-dual codes. J. Comb. Th. Ser. A 28 (1980), 26-53.
    • (1980) J. Comb. Th. Ser. A , vol.28 , pp. 26-53
    • Conway, J.H.1    Pless, V.2
  • 7
    • 0015735548 scopus 로고
    • Four fundamental parameters of a code and their combinatorial significance
    • P. DELSART. Four fundamental parameters of a code and their combinatorial significance. Information and Control 23 (1973), 407-438.
    • (1973) Information and Control , vol.23 , pp. 407-438
    • Delsart, P.1
  • 8
    • 84963057467 scopus 로고
    • On codes and Siegel modular forms
    • W. DUKE. On codes and Siegel modular forms. Duke Math. J. (1993), 125-136.
    • (1993) Duke Math. J. , pp. 125-136
    • Duke, W.1
  • 10
    • 0001298679 scopus 로고
    • Weight polynomials of self-dual codes and the MacWilliams identities
    • Gauthier-Villars
    • A. M. GLEASON. Weight polynomials of self-dual codes and the MacWilliams identities. Actes du Congrès Intern. Math. (Gauthier-Villars, 1971) 3, 211-215.
    • (1971) Actes du Congrès Intern. Math. , Issue.3 , pp. 211-215
    • Gleason, A.M.1
  • 11
    • 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
  • 13
    • 0013173114 scopus 로고
    • Unimodular lattices and self-dual codes
    • H. KOCH. Unimodular lattices and self-dual codes. Proc. ICM Berkeley 1 (1986), 457-465.
    • (1986) Proc. ICM Berkeley , vol.1 , pp. 457-465
    • Koch, H.1
  • 14
    • 38249023830 scopus 로고
    • On self-dual, doubly even codes of length 32
    • H. KOCH. On self-dual, doubly even codes of length 32. J. Comb. Th. Ser. A 51 (1989), 63-76.
    • (1989) J. Comb. Th. Ser. A , vol.51 , pp. 63-76
    • Koch, H.1
  • 15
    • 38249018191 scopus 로고
    • On self-dual doubly-even extremal codes
    • H. KOCH. On self-dual doubly-even extremal codes. Discrete Math. 83 (1990), 291-300.
    • (1990) Discrete Math. , vol.83 , pp. 291-300
    • Koch, H.1
  • 16
    • 0002627993 scopus 로고
    • A theorem on the distribution of weights in a systemtic code
    • F. J. MACWILLIAMS. A theorem on the distribution of weights in a systemtic code. Bell Sys. Tech. J. 42 (1963), 79-84.
    • (1963) Bell Sys. Tech. J. , vol.42 , pp. 79-84
    • Macwilliams, F.J.1
  • 17
    • 0015432625 scopus 로고
    • Generations of Gleason's theorem on weight enumerators of self-dual codes
    • F. J. MACWILLIAMS, C. L. MALLOWS and N. J. SLOANE. Generations of Gleason's theorem on weight enumerators of self-dual codes. IEEE Trans. Inform. Theory IT-18 (1972), 794-805.
    • (1972) IEEE Trans. Inform. Theory , vol.IT-18 , pp. 794-805
    • Macwilliams, F.J.1    Mallows, C.L.2    Sloane, N.J.3
  • 19
    • 13244295951 scopus 로고
    • Über die quaternäre, endliche, lineare Substitutionsgruppe der Borchardt'schen Moduln
    • H. MASCHKE. Über die quaternäre, endliche, lineare Substitutionsgruppe der Borchardt'schen Moduln. Math. Ann. 30 (1887), 496-515.
    • (1887) Math. Ann. , vol.30 , pp. 496-515
    • Maschke, H.1
  • 21
    • 0007288339 scopus 로고
    • On a property of Siegel theta-series
    • M. OZEKI. On a property of Siegel theta-series. Math. Ann. 228 (1977), 249-258.
    • (1977) Math. Ann. , vol.228 , pp. 249-258
    • Ozeki, M.1
  • 22
    • 38249034836 scopus 로고
    • Hadamard matrices and doubly even error correcting codes
    • M. OZEKI. Hadamard matrices and doubly even error correcting codes. J. Comb. Th. Ser. A 44 (1987), 274-287.
    • (1987) J. Comb. Th. Ser. A , vol.44 , pp. 274-287
    • Ozeki, M.1
  • 23
    • 38249028881 scopus 로고
    • Examples of even unimodular extremal lattices of rank 40 and their Siegel theta series of degree 2
    • M. OZEKI. Examples of even unimodular extremal lattices of rank 40 and their Siegel theta series of degree 2. J. Num. Th. 28 (1988), 119-131.
    • (1988) J. Num. Th. , vol.28 , pp. 119-131
    • Ozeki, M.1
  • 24
    • 0346282607 scopus 로고
    • On the relation between the invariants of a doubly even self-dual binary code C and the invariants of the even unimodular lattices L(C) defined from the code C
    • Suuri Kaiseki Kenkyuusho Koukyuuroku No. 671 Research Institute of Mathematical Sciences in Kyouto Univ
    • M. OZEKI. On the relation between the invariants of a doubly even self-dual binary code C and the invariants of the even unimodular lattices L(C) defined from the code C; in Meeting on algebraic combinatorics, Suuri Kaiseki Kenkyuusho Koukyuuroku No. 671 (Research Institute of Mathematical Sciences in Kyouto Univ, 1988).
    • (1988) Meeting on Algebraic Combinatorics
    • Ozeki, M.1
  • 26
    • 33748723466 scopus 로고
    • Jacobi theta series
    • M. PETERS. Jacobi theta series Rocky Mt. Math. J. 19 (1989), 803-870.
    • (1989) Rocky Mt. Math. J. , vol.19 , pp. 803-870
    • Peters, M.1
  • 27
    • 0000718305 scopus 로고
    • A classification of self-orthogonal codes over GF(2)
    • V. PLESS. A classification of self-orthogonal codes over GF(2). Discrete Math. 3 (1972), 209-240.
    • (1972) Discrete Math. , vol.3 , pp. 209-240
    • Pless, V.1
  • 28
    • 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. Comb. Th. Ser. A 18 (1975), 313-335.
    • (1975) J. Comb. Th. Ser. A , vol.18 , pp. 313-335
    • Pless, V.1    Sloane, N.J.A.2
  • 30
    • 0000027113 scopus 로고
    • Das Verhalten von mehrfachen Thetareihen bei Modulsubstitutionen
    • B. SCHOENEBERG. Das Verhalten von mehrfachen Thetareihen bei Modulsubstitutionen. Math. Ann. 116 (1939), 511-523.
    • (1939) Math. Ann. , vol.116 , pp. 511-523
    • Schoeneberg, B.1
  • 32
    • 0001613046 scopus 로고
    • Finite unitary reflection groups
    • G. C. SHEPHARD and J. A. TODD. Finite unitary reflection groups. Canad. J. Math. 5 (1953), 304-383.
    • (1953) Canad. J. Math. , vol.5 , pp. 304-383
    • Shephard, G.C.1    Todd, J.A.2
  • 33
    • 33748719633 scopus 로고
    • Binary codes, lattices, and sphere-packings
    • Combinatorial Surveys, ed by P. J. Cameron Academic Press
    • N. J. A. SLOANE. Binary codes, lattices, and sphere-packings; in Combinatorial Surveys, Proc. 6th British Comb. Conf., ed by P. J. Cameron (Academic Press, 1977), pp. 117-104.
    • (1977) Proc. 6th British Comb. Conf. , pp. 117-1104
    • Sloane, N.J.A.1
  • 34
    • 0002144660 scopus 로고
    • Error-correcting codes and invariant theory: New applications of a nineteenth-century technique
    • N. J. A. SLOANE. Error-correcting codes and invariant theory: new applications of a nineteenth-century technique. Amer. Math. Month. 84 (1977), 82-107.
    • (1977) Amer. Math. Month. , vol.84 , pp. 82-107
    • Sloane, N.J.A.1
  • 35
    • 0000297208 scopus 로고
    • Self-dual codes and lattices
    • Relations between combinatorics and other parts of mathematics
    • N. J. A. SLOANE. Self-dual codes and lattices; in Relations between combinatorics and other parts of mathematics, Proc. Symp. in Pure Math. 34 (1979), 273-308.
    • (1979) Proc. Symp. in Pure Math. , vol.34 , pp. 273-308
    • Sloane, N.J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.