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.
- Self-dual codes over ℤ
- Unimodular lattices
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics