Extremal type II \(\mathbb{Z}_4\)-codes constructed from binary doubly even self-dual codes of length 40

DOI10.1016/j.disc.2017.06.009zbMath1379.94056arXiv1706.03218OpenAlexW2627041032MaRDI QIDQ2012534

Masaaki Harada

Publication date: 1 August 2017

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.03218

zbMATH Keywords

self-dual code\(\mathbb{Z}_4\)-codeextremalitydoubly even self-dual code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (2)

A 40-dimensional extremal type II lattice with no 4-frames ⋮ Construction and enumeration for self-dual cyclic codes over \(\mathbb Z_4\) of oddly even length

Uses Software

• Magma

Cites Work

• A complete classification of doubly even self-dual codes of length 40
• On the residue codes of extremal Type II \(\mathbb Z_4\)-codes of lengths 32 and 40
• Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices
• Self-dual codes over the integers modulo 4
• All \(\mathbb{Z}_ 4\) codes of type II and length 16 are known
• The Magma algebra system. I: The user language
• Residue codes of extremal type II \(\mathbb Z_4\)-codes and the moonshine vertex operator algebra
• Type II codes over Z/sub 4/
• Unnamed Item

This page was built for publication: Extremal type II \(\mathbb{Z}_4\)-codes constructed from binary doubly even self-dual codes of length 40