Abstract
Motivated by the work of Montague in 1994, we demonstrate that every Niemeier lattice can be constructed as an even unimodular neighbor of the odd unimodular lattice obtained from some self-dual code over Fp by Construction A for each prime number p with 5 ≤ p ≤ 23. This implies that every Niemeier lattice contains a 2k-frame for k = 2, 3, ..., 28.
Original language | English |
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Pages (from-to) | 2345-2352 |
Number of pages | 8 |
Journal | Journal of Algebra |
Volume | 321 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2009 Apr 15 |
Externally published | Yes |
Keywords
- Frame
- Niemeier lattice
- Self-dual code
ASJC Scopus subject areas
- Algebra and Number Theory