메뉴 건너뛰기




Volumn 235, Issue 2, 2000, Pages 283-308

On covering radii and coset weight distributions of extremal binary self-dual codes of length 40

Author keywords

Code; Coset weight; Covering radius

Indexed keywords


EID: 0000811303     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(99)00200-5     Document Type: Article
Times cited : (9)

References (30)
  • 2
    • 0020748412 scopus 로고
    • On the covering radius of extremal self-dual codes
    • E.F. Assmus, Jr., V. Pless, On the covering radius of extremal self-dual codes, IEEE Trans. Inform. Theory IT-29 (1983) 359-363.
    • (1983) IEEE Trans. Inform. Theory , vol.IT-29 , pp. 359-363
    • Assmus E.F., Jr.1    Pless, V.2
  • 3
    • 21344447468 scopus 로고    scopus 로고
    • Construction of Jacobi forms from certain combinatorial polynomials
    • E. Bannai, M. Ozeki, Construction of Jacobi forms from certain combinatorial polynomials, Proc. Japan Acad. Ser. A 72 (1996)12-15.
    • (1996) Proc. Japan Acad. Ser. A , vol.72 , pp. 12-15
    • Bannai, E.1    Ozeki, M.2
  • 7
    • 38249018080 scopus 로고
    • Extremal doubly-even codes of length 40 derived from Hadamard matrices of order 20
    • F.C. Bussemaker, V.D. Tonchev, Extremal doubly-even codes of length 40 derived from Hadamard matrices of order 20, Discrete Math. 82 (1990) 317-321.
    • (1990) Discrete Math. , vol.82 , pp. 317-321
    • Bussemaker, F.C.1    Tonchev, V.D.2
  • 8
    • 38249012769 scopus 로고
    • The binary self-dual codes of length up to 32: A revised enumeration
    • J.H. Conway, V. Pless, N.J.A. 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.J.A.3
  • 10
    • 0015735548 scopus 로고
    • Four fundamental parameters of a code and their combinatorial significance
    • P. Delsarte, Four fundamental parameters of a code and their combinatorial significance, Inform. and Control 23 (1973) 407-438.
    • (1973) Inform. and Control , vol.23 , pp. 407-438
    • Delsarte, P.1
  • 11
    • 85041979556 scopus 로고
    • An algebraic approach to the association schemes of coding theory
    • P. Delsarte, An algebraic approach to the association schemes of coding theory, Philips Re. Rep. Suppl. 10 (1973).
    • (1973) Philips Re. Rep. Suppl. , vol.10
    • Delsarte, P.1
  • 12
    • 0001298679 scopus 로고
    • Weight polynomials of self-dual codes and the MacWilliams identities
    • Gauthier-Villars, Paris
    • A.M. Gleason, Weight polynomials of self-dual codes and the MacWilliams identities, in: Actes Congres Int. de Mathematique 1970, 3 Gauthier-Villars, Paris, 1971, pp. 211-215.
    • (1971) Actes Congres Int. de Mathematique 1970 , vol.3 , pp. 211-215
    • Gleason, A.M.1
  • 13
    • 0020832544 scopus 로고
    • Binary self-dual codes with automorphisms of odd order
    • V.I. Iorgov, Binary self-dual codes with automorphisms of odd order, Problems Inform. Transmission 19 (1983) 260-270.
    • (1983) Problems Inform. Transmission , vol.19 , pp. 260-270
    • Iorgov, V.I.1
  • 14
    • 0348173235 scopus 로고
    • Cosets of an extremal binary code of dimension 48
    • D.M. Ivanov, Cosets of an extremal binary code of dimension 48, J. Sov. Math. 63 (1993) 664-670.
    • (1993) J. Sov. Math. , vol.63 , pp. 664-670
    • Ivanov, D.M.1
  • 17
    • 38249034836 scopus 로고
    • Hadamard matrices and doubly even error correcting codes
    • M. Ozeki, Hadamard matrices and doubly even error correcting codes, J. Combin. Theory Ser. A 44 (1987) 274-287.
    • (1987) J. Combin. Theory Ser. A , vol.44 , pp. 274-287
    • Ozeki, M.1
  • 18
    • 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. Numer. Theory 28 (1988) 119-131.
    • (1988) J. Numer. Theory , vol.28 , pp. 119-131
    • Ozeki, M.1
  • 19
    • 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
    • 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, Suuri Kaiseki Kenkyuusho Koukyuuroku No. 671 , vol.671
    • Ozeki, M.1
  • 20
    • 85037519689 scopus 로고
    • Determination of the ring of simultaneous invariants for a group associated with MacWilliams identity (an intermediate report of a joint work with E. Bannai)
    • Research Institute of Mathematical Sciences in Kyouto Univ, unpublished
    • M. Ozeki, Determination of the ring of simultaneous invariants for a group associated with MacWilliams identity (an intermediate report of a joint work with E. Bannai), in: Meeting on algebraic combinatorics, Suuri Kaiseki Kenkyuusho Koukyuuroku No. ??? Research Institute of Mathematical Sciences in Kyouto Univ, 1995, unpublished.
    • (1995) Meeting on Algebraic Combinatorics, Suuri Kaiseki Kenkyuusho Koukyuuroku No. ???
    • Ozeki, M.1
  • 21
    • 33748734063 scopus 로고    scopus 로고
    • On the notion of Jacobi polynomials for codes
    • M. Ozeki, On the notion of Jacobi polynomials for codes, Math. Proc. Cambridge Philos. Soc. 121 (1997) 15-30.
    • (1997) Math. Proc. Cambridge Philos. Soc. , vol.121 , pp. 15-30
    • Ozeki, M.1
  • 22
    • 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) 209-246.
    • (1972) Discrete Math. , vol.3 , pp. 209-246
    • Pless, V.1
  • 24
    • 0001055974 scopus 로고
    • On the classification and enumeration of self-dual codes
    • V. Pless, N.J.A. Sloane, On the classification and enumeration of self-dual codes, J. Combin. Theory Ser. A 18 (1975) 313-335.
    • (1975) J. Combin. Theory Ser. A , vol.18 , pp. 313-335
    • Pless, V.1    Sloane, N.J.A.2
  • 26
    • 0001613046 scopus 로고
    • Finite unitary reflection groups
    • G.C. Shephard, J.A. Todd, Finite unitary reflection groups, Canad. J. Math. 5 (1953) 364-383.
    • (1953) Canad. J. Math. , vol.5 , pp. 364-383
    • Shephard, G.C.1    Todd, J.A.2
  • 27
    • 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. Mon. 84 (1977) 82-107.
    • (1977) Amer. Math. Mon. , vol.84 , pp. 82-107
    • Sloane, N.J.A.1
  • 28
    • 0000297208 scopus 로고
    • Self-dual codes and lattices, in 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
  • 29
    • 0020834480 scopus 로고
    • Hadamard-type block designs and self-dual codes
    • V.D. Tonchev, Hadamard-type block designs and self-dual codes, Problems Inform. Transmission 19 (1983) 270-274.
    • (1983) Problems Inform. Transmission , vol.19 , pp. 270-274
    • Tonchev, V.D.1
  • 30
    • 0347543565 scopus 로고
    • Combinatorial properties of extremal doubly-even codes of length 48
    • B.B. Venkov and D. M. Ivanov, Combinatorial properties of extremal doubly-even codes of length 48, J. Sov. Math. 57 (1991) 3459-3462.
    • (1991) J. Sov. Math. , vol.57 , pp. 3459-3462
    • Venkov, B.B.1    Ivanov, D.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.