The Lattice sBW16d (dual of sBW16)
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
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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.
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LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe