A result on Ma's conjecture
type: Item
instance of: scholarly article
title: A result on Ma's conjecture
zbMATH Open document ID: 0866.05014
author: Qing Xiang
author: Le Maohua
published in: Journal of Combinatorial Theory. Series A
publication date: 1996-05-13T00:00:00Z
review text: With only one exception, all known difference sets admitting \(-1\) as a multiplier are Hadamard difference sets: The exceptional example is a (4000, 775, 125)-difference set. It is conjectured that this is the only non-Hadamard difference set with multiplier \(-1\). \textit{S. L. Ma} [Des. Codes Cryptography 1, No. 4, 321-332 (1991; Zbl 0758.05028)] has shown that this conjecture is equivalent to a number theoretic condition. In this short note, the authors prove part of this condition. The proof uses only elementary number theory.
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 11D09
zbMATH DE Number: 842842
zbMATH Keywords: multiplier
zbMATH Keywords: difference set
reviewed by: Alexander Pott
MaRDI profile type: Publication
Wikidata QID: Q122961902
OpenAlex ID: W1994100320
DOI: 10.1006/JCTA.1996.0014
Recommended article: On a conjecture of Ma
Recommended article: On Some Equations Related to Ma's Conjecture
Recommended article: Q3380809
Recommended article: A Possible Generalization of Maeda’s Conjecture
Recommended article: Maeda's conjecture and related topics
Recommended article: On Mazur's conjecture
Recommended article: Some remarks related to Maeda's conjecture
Recommended article: Q4286855
Recommended article: A proof of the Mahler-Manin conjecture
Recommended article: On a conjecture of Mąkowski and Schinzel
description: scientific article; zbMATH DE number 842842