On the uniqueness of the leech lattice

被引:0
|
作者
Wan, ZX
机构
[1] ACAD SINICA,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA
[2] LUND UNIV,DEPT INFORMAT THEORY,S-22100 LUND,SWEDEN
关键词
D O I
10.1006/eujc.1996.0098
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It has been found that there is an error in Venkov's proof of the uniqueness of the Leech lattice. A construction of neighbours of even unimodular lattices is studied and is used to modify Venkov's proof so that the error is corrected. (C) 1997 Academic Press Limited.
引用
收藏
页码:455 / 459
页数:5
相关论文
共 50 条
  • [1] Optimality and uniqueness of the Leech lattice among lattices
    Cohn, Henry
    Kumar, Abhinav
    ANNALS OF MATHEMATICS, 2009, 170 (03) : 1003 - 1050
  • [2] THE LEECH LATTICE
    BORCHERDS, RE
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1985, 398 (1815): : 365 - 376
  • [3] A LEECH LATTICE MODEM
    LANG, GR
    LONGSTAFF, FM
    IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, 1989, 7 (06) : 965 - 973
  • [4] Octonions and the Leech lattice
    Wilson, Robert A.
    JOURNAL OF ALGEBRA, 2009, 322 (06) : 2186 - 2190
  • [5] A SUBLATTICE OF THE LEECH LATTICE
    MILLER, EY
    WASHBURN, S
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1986, 42 (01) : 9 - 14
  • [6] Orbits in the Leech lattice
    Allcock, D
    EXPERIMENTAL MATHEMATICS, 2005, 14 (04) : 491 - 509
  • [7] The height of the Leech lattice
    Chua, KS
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2000, 62 (02) : 243 - 251
  • [8] The Contact Polytope of the Leech Lattice
    Mathieu Dutour Sikirić
    Achill Schürmann
    Frank Vallentin
    Discrete & Computational Geometry, 2010, 44 : 904 - 911
  • [9] LATTICES LIKE THE LEECH LATTICE
    BORCHERDS, RE
    JOURNAL OF ALGEBRA, 1990, 130 (01) : 219 - 234
  • [10] The Contact Polytope of the Leech Lattice
    Sikiric, Mathieu Dutour
    Schurmann, Achill
    Vallentin, Frank
    DISCRETE & COMPUTATIONAL GEOMETRY, 2010, 44 (04) : 904 - 911