Recently, there has been tremendous interest in self-dual codes over finite rings, specifically the rings ℤ2k. In this note, the first examples of extremal Type II codes over ℤ6 of length 32 are constructed. These give examples of extremal even unimodular lattices in dimension 32 by Construction A. A relationship between extremal Type II codes over ℤ6 and binary extremal Type II codes is also investigated.
- Binary Type II codes
- Extremal Type II codes over rings
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics