Abstract
In this note, we construct a 39-dimensional optimal unimodular lattice with minimum norm 4 from a Euclidean-optimal self-dual code of length 39 over ℤ4. These are the first examples of a 39-dimensional unimodular lattice with minimum norm 4 and a self-dual ℤ4-code of length 39 with minimum Euclidean weight 16.
| Original language | English |
|---|---|
| Pages (from-to) | 158-161 |
| Number of pages | 4 |
| Journal | Journal of Combinatorial Theory. Series A |
| Volume | 88 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1999 Oct |
| Externally published | Yes |
Keywords
- Self-dual codes over ℤ
- Unimodular lattices
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics