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 |
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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