Optimal Self-Dual Z4-Codes and a Unimodular Lattice in Dimension 41

Details Optimal Self-Dual Z4-Codes and a Unimodular Lattice in Dimension 41 Optimal Self-Dual Z4-Codes and a Unimodular Lattice in Dimension 41

2011-11-15

arxiv.org/abs/1111.3420v1

Mathematics

Combinatorics

13 pages, Finite Fields and Their Applications (to appear)

Scientific paper

For lengths up to 47 except 37, we determine the largest minimum Euclidean
weight among all Type I Z4-codes of that length. We also give the first example
of an optimal odd unimodular lattice in dimension 41 explicitly, which is
constructed from some Type I Z4-code of length 41.

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