TY - JOUR
T1 - ℤ6-code constructions of the Leech lattice and the Niemeier lattices
AU - Harada, Masaaki
AU - Kitazume, Masaaki
PY - 2002/7
Y1 - 2002/7
N2 - In this paper, we construct many new extremal Type II ℤ6- codes of length 24, and consequently we show that there is at least one extremal Type II ℤ6-code C of length 24 such that the binary and ternary reductions of C are B and T, respectively, for every binary Type II code B and every extremal ternary self-dual code T. These codes give more ℤ6-code constructions of the Leech lattice. It is also shown that every Niemeier lattice contains a (4k2 + 2k + 6)-frame for every integer k.
AB - In this paper, we construct many new extremal Type II ℤ6- codes of length 24, and consequently we show that there is at least one extremal Type II ℤ6-code C of length 24 such that the binary and ternary reductions of C are B and T, respectively, for every binary Type II code B and every extremal ternary self-dual code T. These codes give more ℤ6-code constructions of the Leech lattice. It is also shown that every Niemeier lattice contains a (4k2 + 2k + 6)-frame for every integer k.
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U2 - 10.1006/eujc.2002.0557
DO - 10.1006/eujc.2002.0557
M3 - Article
AN - SCOPUS:10644242649
SN - 0195-6698
VL - 23
SP - 573
EP - 581
JO - European Journal of Combinatorics
JF - European Journal of Combinatorics
IS - 5
ER -