An infinite family of 3-designs from Preparata codes over \(\mathbb{Z}_4\)
type: Item
instance of: scholarly article
title: An infinite family of 3-designs from Preparata codes over \(\mathbb{Z}_4\)
zbMATH Open document ID: 0964.05010
DOI: 10.1023/A:1008363617109
author: Tor Helleseth
author: P. Vijay Kumar
author: Kyeongcheol Yang
published in: Designs, Codes and Cryptography
publication date: 1999-08-22T00:00:00Z
review text: The authors use the support of the vectors with Hamming weight 5 and minimal Lee weight in the \(\mathbb{Z}\)-linear Preparata code to construct a 3-\((2^m,5,10)\)-design for all \(m\geq 3\).
reviewed by: Dieter Jungnickel
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 94B25
zbMATH DE Number: 1230694
zbMATH Keywords: 3-design
zbMATH Keywords: Preparata code
zbMATH Keywords: Lee weight
zbMATH Keywords: Hamming weight
MaRDI profile type: Publication
full work available at URL: a:1008363617109
OpenAlex ID: W1564789833
description: scientific article; zbMATH DE number 1230694