TY - JOUR
T1 - An optimal odd unimodular lattice in dimension 72
AU - Harada, Masaaki
AU - Miezaki, Tsuyoshi
N1 - Funding Information:
This work was supported by JST PRESTO program.
PY - 2011/12
Y1 - 2011/12
N2 - It is shown that if there is an extremal even unimodular lattice in dimension 72, then there is an optimal odd unimodular lattice in that dimension. Hence, the first example of an optimal odd unimodular lattice in dimension 72 is constructed from the extremal even unimodular lattice which has been recently found by G. Nebe.
AB - It is shown that if there is an extremal even unimodular lattice in dimension 72, then there is an optimal odd unimodular lattice in that dimension. Hence, the first example of an optimal odd unimodular lattice in dimension 72 is constructed from the extremal even unimodular lattice which has been recently found by G. Nebe.
KW - Odd unimodular lattice
KW - Optimal unimodular lattice
KW - Theta series
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U2 - 10.1007/s00013-011-0333-3
DO - 10.1007/s00013-011-0333-3
M3 - Article
AN - SCOPUS:82755189617
VL - 97
SP - 529
EP - 533
JO - Archiv der Mathematik
JF - Archiv der Mathematik
SN - 0003-889X
IS - 6
ER -