Optimal Self-Dual Z4-Codes and a Unimodular Lattice in Dimension 41
Combinatorics
2012-05-28 v1 Information Theory
math.IT
Number Theory
Abstract
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.
Cite
@article{arxiv.1111.3420,
title = {Optimal Self-Dual Z4-Codes and a Unimodular Lattice in Dimension 41},
author = {Masaaki Harada},
journal= {arXiv preprint arXiv:1111.3420},
year = {2012}
}
Comments
13 pages, Finite Fields and Their Applications (to appear)