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Volumn 6, Issue 2, 1997, Pages 119-131

Double Circulant Codes over ℤ4 and even Unimodular Lattices

Author keywords

Invariant theory; Leech lattice; Quarterly code; Unimodular lattice; 4

Indexed keywords


EID: 0040315291     PISSN: 09259899     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008639004036     Document Type: Article
Times cited : (33)

References (19)
  • 7
    • 38249012769 scopus 로고
    • The binary self-dual codes of length up to 32: A revised enumeration
    • J.H. Conway, V. Pless, and N.J.A. Sloane, "The binary self-dual codes of length up to 32: A revised enumeration," J. Combinatorial Theory, Series A 60 (1992), 183-195.
    • (1992) J. Combinatorial Theory, Series A , vol.60 , pp. 183-195
    • Conway, J.H.1    Pless, V.2    Sloane, N.J.A.3
  • 8
    • 1842808309 scopus 로고
    • Twenty-three constructions for the Leech lattice
    • A revised version appears as Chapter 24 of Ref. [9]
    • J.H. Conway and N.J. A. Sloane, "Twenty-three constructions for the Leech lattice," Proc. Roy. Soc. London, Series A 381 (1982), 275-283. A revised version appears as Chapter 24 of Ref. [9].
    • (1982) Proc. Roy. Soc. London, Series A , vol.381 , pp. 275-283
    • Conway, J.H.1    Sloane, N.J.A.2
  • 11
    • 0003068201 scopus 로고
    • The Nordstrom-Robinson code is the binary image of the octacode
    • R. Calderbank, G.D. Forney, Jr., and N. Moayeri (Eds.) Amer. Math. Soc.
    • G.D. Forney, Jr., N.J.A. Sloane, and M.D. Troff, "The Nordstrom-Robinson code is the binary image of the octacode," in Coding and Quantization: DIMACS/IEEE Workshop October 19-21, 1992, R. Calderbank, G.D. Forney, Jr., and N. Moayeri (Eds.) Amer. Math. Soc., 1993, pp. 19-26.
    • (1993) Coding and Quantization: DIMACS/IEEE Workshop October 19-21, 1992 , pp. 19-26
    • Forney Jr., G.D.1    Sloane, N.J.A.2    Troff, M.D.3
  • 13
    • 0009303839 scopus 로고
    • Selbstduale Codes über dem Ring der ganzen Zahlen modulo 4
    • M. Klemm, "Selbstduale Codes über dem Ring der ganzen Zahlen modulo 4," Archiv Math. 53 (1989), 201-207.
    • (1989) Archiv Math. , vol.53 , pp. 201-207
    • Klemm, M.1
  • 15
    • 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. Combinatorial Theory, Series A 18 (1975), 313-335.
    • (1975) J. Combinatorial Theory, Series A , vol.18 , pp. 313-335
    • Pless, V.1    Sloane, N.J.A.2
  • 16
    • 0001253686 scopus 로고
    • Finite unitary reflection groups
    • G.C. Shephard and J.A. Todd, "Finite unitary reflection groups," Canad. J. Math. 6 (1954), 274-304.
    • (1954) Canad. J. Math. , vol.6 , pp. 274-304
    • Shephard, G.C.1    Todd, J.A.2
  • 17
    • 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," Am. Math. Monthly 84 (1977), 82-107.
    • (1977) Am. Math. Monthly , vol.84 , pp. 82-107
    • Sloane, N.J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.