New families of semi-regular relative difference sets
type: Item
instance of: scholarly article
title: New families of semi-regular relative difference sets
zbMATH Open document ID: 0888.05008
DOI: 10.1023/A:1008222227987
author: James A. Davis
author: Jonathan Jedwab
author: Miranda Mowbray
published in: Designs, Codes and Cryptography
publication date: 1998-05-13T00:00:00Z
review text: Attention to the character sum of subsets of an abelian group helps to set many constructions for relative difference sets such that \(k=n\lambda\) (where \(n\) is the order of the ``forbidden'' group). The cases in which \(n\) is a power of \(2\) and in which \(n=3\) are developed obtaining very new relative difference sets also in groups whose order is not a prime power and even can contain more than two distinct prime factors. Contracting, direct products, recursive and combinatorial constructions are used and combined also suggesting similar explorations for other cases to solve open problems given to the end.
Mathematics Subject Classification ID: 05B10
zbMATH DE Number: 1115729
zbMATH Keywords: relative difference set
zbMATH Keywords: difference set
zbMATH Keywords: character theory
zbMATH Keywords: building block
zbMATH Keywords: building set
zbMATH Keywords: Hadamard difference sets
reviewed by: Giovanni Ferrero
MaRDI profile type: Publication
full work available at URL: a:1008222227987
OpenAlex ID: W2122843318
description: scientific article; zbMATH DE number 1115729