3-designs from the \(\mathbb Z_4\)-Goethals codes via a new Kloosterman sum identity
type: Item
instance of: scholarly article
title: 3-designs from the \(\mathbb Z_4\)-Goethals codes via a new Kloosterman sum identity
zbMATH Open document ID: 1028.94032
DOI: 10.1023/A:1024153804090
author: P. Vijay Kumar
author: Dong-Joon Shin
author: Tor Helleseth
published in: Designs, Codes and Cryptography
publication date: 2003-07-01T00:00:00Z
review text: Words of Hamming weight 7 in the quaternary Goethals code are shown to hold 3-designs. A new identity for Kloosterman sums is derived in the process.
reviewed by: Patrick Solé
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 11L05
Mathematics Subject Classification ID: 11T71
zbMATH DE Number: 1944957
zbMATH Keywords: Galois rings
zbMATH Keywords: quaternary Goethals code
zbMATH Keywords: 3-designs
zbMATH Keywords: Kloosterman sums
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1944957