An Upper Bound on the Minimum Weight of Type II $\ZZ_{2k}$-Codes

Details An Upper Bound on the Minimum Weight of Type II $\ZZ_{2k}$-Codes An Upper Bound on the Minimum Weight of Type II $\ZZ_{2k}$-Codes

2009-06-26

arxiv.org/abs/0906.5023v1

Mathematics

Combinatorics

10 pages, 2 tables

Scientific paper

In this paper, we give a new upper bound on the minimum Euclidean weight of
Type II $\ZZ_{2k}$-codes and the concept of extremality for the Euclidean
weights when $k=3,4,5,6$. Together with the known result, we demonstrate that
there is an extremal Type II $\ZZ_{2k}$-code of length $8m$ $(m \le 8)$ when
$k=3,4,5,6$.

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