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 May 17 11:09:19 CEST 2019

INDEX FILE | ABBREVIATIONS

Contents of this file

NAME
DIMENSION
GRAM
DET
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
PROPERTIES
REFERENCES
LAST_LINE

• NAME
  sBW16d (dual of sBW16)
  

• DIMENSION
  16
  

• GRAM
  16 16
  6 2 2 -1 -3 3 2 -3 -3 -1 3 -3 3 3 -2 -2
  2 6 2 -3 -1 3 2 -1 1 -3 3 -3 1 1 -2 0
  2 2 6 -3 -3 3 0 -3 -1 -1 3 -3 3 3 -2 2
  -1 -3 -3 6 3 -1 1 2 -1 0 -3 1 0 -3 3 -1
  -3 -1 -3 3 6 -2 -1 3 2 1 -2 2 -1 -2 1 -1
  3 3 3 -1 -2 6 3 -1 0 -3 2 -2 1 2 -1 -1
  2 2 0 1 -1 3 6 -1 1 -1 -1 -1 -1 1 0 -2
  -3 -1 -3 2 3 -1 -1 6 3 0 -3 3 -2 -3 3 1
  -3 1 -1 -1 2 0 1 3 6 1 -2 2 -3 0 1 1
  -1 -3 -1 0 1 -3 -1 0 1 6 -1 3 0 1 1 -1
  3 3 3 -3 -2 2 -1 -3 -2 -1 6 -2 3 2 -3 -1
  -3 -3 -3 1 2 -2 -1 3 2 3 -2 6 -3 -2 1 -1
  3 1 3 0 -1 1 -1 -2 -3 0 3 -3 6 1 -1 1
  3 1 3 -3 -2 2 1 -3 0 1 2 -2 1 6 -3 -1
  -2 -2 -2 3 1 -1 0 3 1 1 -3 1 -1 -3 6 0
  -2 0 2 -1 -1 -1 -2 1 1 -1 -1 -1 1 -1 0 6
  

• DET
  4096
  

• DIVISORS
  1 1 2 2 2 2 2 2 2 2 4 4 4 4 4 4
  

• MINIMAL_NORM
  6
  

• KISSING_NUMBER
  1536
  

• GROUP_ORDER
  79626240 = 2^16 3^5 5
  

• GROUP_NAME
  2+^(1+8).U+(4,2).2
  

• PROPERTIES
  INTEGRAL=1
  EVEN=1
  

• REFERENCES
  Sihuang Hu, Gabriele Nebe, Strongly perfect lattices sandwiched between Barnes-Wall lattices.
  

• LAST_LINE
  

  ---

  Haftungsausschluss/Disclaimer
  
  
  Gabriele Nebe