An entry from the Catalogue of Lattices, which is a joint project of
Gabriele Nebe, RWTH Aachen University (nebe@math.rwth-aachen.de) and
Neil J. A. Sloane (njasloane@gmail.com)

Last modified Fri Jul 18 13:26:45 CEST 2014

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
DET
BASIS (basis for lattice; may have more than n coordinates)
MINIMAL_NORM
PROPERTIES
REFERENCES
NOTES
LAST_LINE

• NAME
  R43
  

• DIMENSION
  43
  

• DET
  1
  

• BASIS (basis for lattice; may have more than n coordinates)
  43x43 /5
  1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 24 1 7 15 2 10 12 4 2 21 21 8 23 15 6 13 22 11 19 22 11
  0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 0 18 21 2 8 19 23 4 4 5 21 3 7 7 8 2 18 8 0 22
  0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 18 21 21 16 20 22 14 1 15 13 17 8 7 17 9 14 11 5 4 18
  0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 24 16 6 20 7 19 11 22 19 10 7 22 20 18 21 23 0 18 7 10 1
  0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 20 17 4 20 16 11 19 7 11 3 2 7 14 12 4 4 21 13 18 24
  0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 21 12 13 17 2 17 12 23 21 12 0 24 2 10 12 14 1 18 16 22 12
  0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 15 21 9 20 11 3 15 13 13 23 2 23 5 0 7 24 23 8 1 21 6
  0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 22 24 16 8 0 21 4 18 11 19 7 7 16 15 9 7 12 1 3
  0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 20 23 0 10 9 8 12 4 7 8 7 16 19 18 8 1 24 16 17 8 19
  0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 4 16 18 17 17 5 21 0 14 9 22 14 12 19 12 18 4 0 11 0 24 4
  0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 12 14 6 11 14 20 20 24 20 6 9 8 24 15 0 3 21 8 8 21 23
  0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 4 2 2 20 3 1 0 22 16 9 23 2 19 7 0 19 10 8 1 0 12 16
  0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 4 14 6 15 7 13 21 16 16 2 15 4 20 15 2 5 1 19 18 20 24 13
  0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 19 5 22 23 5 15 16 21 0 12 23 23 10 0 10 24 11 17 20 5 17
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 3 23 3 9 21 15 17 7 22 0 14 24 4 11 4 15 21 15 18 21 16 14
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 12 11 19 12 19 11 18 20 9 0 14 23 18 3 11 3 8 8 3 15 21
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 5 8 20 14 8 14 10 2 19 2 0 21 7 0 20 1 15 4 7 5 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 3 24 12 6 13 21 12 6 4 19 22 1 6 0 2 2 20 4 3 7 17 20
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 6 23 20 17 23 11 15 2 20 3 13 24 6 14 14 16 13 4 4 2 12
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 17 9 17 14 17 5 20 15 7 14 23 2 15 9 6 16 23 11 4 2 22
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 14 20 15 0 17 14 6 1 3 22 1 7 0 17 11 6 0 21 1 15
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 15 0 15 15 0 15 10 10 10 5 15 15 15 20 20 5 20 20 15 15
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 0
  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25
  
  

• MINIMAL_NORM
  4
  

• PROPERTIES
  unimodular = 1
  

• REFERENCES
  P. Gaborit, A. Olmany,
  Experimental constructions of codes over rings and construction of
  an optimal unimodular lattice in dimension 43
  Preprint (June 2002)
  

• NOTES
  The lattice was found using self-dual codes over the ring Z/25Z. Jun 25 2002.
  

• LAST_LINE
  
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe