Extremal Type II $\mathbb{Z}_4$-codes constructed from binary doubly even self-dual codes of length $40$
Combinatorics
2017-06-13 v1 Information Theory
math.IT
Abstract
In this note, we demonstrate that every binary doubly even self-dual code of length can be realized as the residue code of some extremal Type II -code. As a consequence, it is shown that there are at least inequivalent extremal Type II -codes of length .
Keywords
Cite
@article{arxiv.1706.03218,
title = {Extremal Type II $\mathbb{Z}_4$-codes constructed from binary doubly even self-dual codes of length $40$},
author = {Masaaki Harada},
journal= {arXiv preprint arXiv:1706.03218},
year = {2017}
}
Comments
6 pages