A note on Table I of ``Barker sequences and difference sets''
type: Item
instance of: scholarly article
title: A note on Table I of ``Barker sequences and difference sets''
zbMATH Open document ID: 0802.05011
author: Wayne J. Broughton
published in: L'Enseignement Mathématique. 2e Série
publication date: 1994-10-13T00:00:00Z
review text: In Table I of [Enseign. Math., II. Sér. 38, No. 3/4, 345-382 (1992; Zbl 0777.05024)], \textit{S. Eliahou} and \textit{M. Kervaire} show the non- existence of cyclic difference sets with parameters \((2t(t+ 1)+ 1, t^ 2, t(t- 1)/2)\), for \(3\leq t\leq 100\), \(t\neq 50\), leaving the case \(t= 50\) undecided. The purpose of this note is to fill this gap and to generalize the table to non-cyclic difference sets.
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 11B75
zbMATH DE Number: 637634
zbMATH Keywords: Barker sequences
zbMATH Keywords: cyclic difference sets
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 637634