St Andrews Research Repository

St Andrews University Home
View Item 
  •   St Andrews Research Repository
  • University of St Andrews Research
  • University of St Andrews Research
  • University of St Andrews Research
  • View Item
  •   St Andrews Research Repository
  • University of St Andrews Research
  • University of St Andrews Research
  • University of St Andrews Research
  • View Item
  •   St Andrews Research Repository
  • University of St Andrews Research
  • University of St Andrews Research
  • University of St Andrews Research
  • View Item
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.

Internal and external partial difference families and cyclotomy

Thumbnail
View/Open
Huczynska_2022_Internal_and_external_partial_DiscreteMath_346_3_113295_CC.pdf (603.5Kb)
Date
03/2023
Author
Huczynska, Sophie
Johnson, Laura
Keywords
Disjoint partial difference family
External partial difference familiy
Disjoint different family
External difference family
Partial difference set
Cyclotomy
QA Mathematics
T-DAS
MCP
Metadata
Show full item record
Altmetrics Handle Statistics
Altmetrics DOI Statistics
Abstract
We introduce the concept of a disjoint partial difference family (DPDF) and an external partial difference family (EPDF), a natural generalization of the much-studied disjoint difference family (DDF), external difference family (EDF) and partial difference set (PDS). We establish properties and indicate connections to other recently-studied combinatorial structures. We show how DPDFs and EPDFs may be formed from PDSs, and present various cyclotomic constructions for DPDFs and EPDFs. As part of this, we develop a unified cyclotomic framework, which yields some known results on PDSs, DDFs and EDFs as special cases.
Citation
Huczynska , S & Johnson , L 2023 , ' Internal and external partial difference families and cyclotomy ' , Discrete Mathematics , vol. 346 , no. 3 , 113295 . https://doi.org/10.1016/j.disc.2022.113295
Publication
Discrete Mathematics
Status
Peer reviewed
DOI
https://doi.org/10.1016/j.disc.2022.113295
ISSN
0012-365X
Type
Journal article
Rights
Copyright © 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Collections
  • University of St Andrews Research
URI
http://hdl.handle.net/10023/26670

Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

Related items

Showing items related by title, author, creator and subject.

  • Different soluble aggregates of Aβ42 can give rise to cellular toxicity through different mechanisms 

    De, Suman; Wirthensohn, David C; Flagmeier, Patrick; Hughes, Craig; Aprile, Francesco A; Ruggeri, Francesco S; Whiten, Daniel R; Emin, Derya; Xia, Zengjie; Varela, Juan A; Sormanni, Pietro; Kundel, Franziska; Knowles, Tuomas P J; Dobson, Christopher M; Bryant, Clare; Vendruscolo, Michele; Klenerman, David (2019-04-04) - Journal article
    Protein aggregation is a complex process resulting in the formation of heterogeneous mixtures of aggregate populations that are closely linked to neurodegenerative conditions, such as Alzheimer's disease. Here, we find ...
  • A multi-dimensional analysis of corporate social responsibility : different signals in different industries 

    Shalchian, Homayoon; Bouslah, Kais Ben Hmida; M’Zali, Bouchra (2015-06) - Journal article
    This study investigates the relation between individual dimensions of corporate social responsibility (CSR) and financial performance in different industries. Using Kinder, Lydenberg and Domini (KLD) social ratings, we ...
  • Statistical and agent-based modelling of the transmissibility of different SARS-CoV-2 variants in England and impact of different interventions 

    Panovska-Griffiths, J.; Swallow, B.; Hinch, R.; Cohen, J.; Rosenfeld, K.; Stuart, R. M.; Ferretti, L.; Di Lauro, F.; Wymant, C.; Izzo, A.; Waites, W.; Viner, R.; Bonell, C.; Fraser, C.; Klein, D.; Kerr, C. C.; The COVID-19 Genomics UK (COG-UK) Consortium (2022-10-03) - Journal article
    The English SARS-CoV-2 epidemic has been affected by the emergence of new viral variants such as B.1.177, Alpha and Delta, and changing restrictions. We used statistical models and the agent-based model Covasim, in June ...
Advanced Search

Browse

All of RepositoryCommunities & CollectionsBy Issue DateNamesTitlesSubjectsClassificationTypeFunderThis CollectionBy Issue DateNamesTitlesSubjectsClassificationTypeFunder

My Account

Login

Open Access

To find out how you can benefit from open access to research, see our library web pages and Open Access blog. For open access help contact: openaccess@st-andrews.ac.uk.

Accessibility

Read our Accessibility statement.

How to submit research papers

The full text of research papers can be submitted to the repository via Pure, the University's research information system. For help see our guide: How to deposit in Pure.

Electronic thesis deposit

Help with deposit.

Repository help

For repository help contact: Digital-Repository@st-andrews.ac.uk.

Give Feedback

Cookie policy

This site may use cookies. Please see Terms and Conditions.

Usage statistics

COUNTER-compliant statistics on downloads from the repository are available from the IRUS-UK Service. Contact us for information.

© University of St Andrews Library

University of St Andrews is a charity registered in Scotland, No SC013532.

  • Facebook
  • Twitter