Abstract
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.
Original language | English |
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Pages (from-to) | 573-581 |
Number of pages | 9 |
Journal | European Journal of Combinatorics |
Volume | 23 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2002 Jul |
Externally published | Yes |
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics