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Internal and external partial difference families and cyclotomy
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dc.contributor.author | Huczynska, Sophie | |
dc.contributor.author | Johnson, Laura | |
dc.date.accessioned | 2023-01-04T16:30:05Z | |
dc.date.available | 2023-01-04T16:30:05Z | |
dc.date.issued | 2023-03-01 | |
dc.identifier | 282539587 | |
dc.identifier | dbae22fb-1131-48fe-a568-502fa2da6c7d | |
dc.identifier | 85144980701 | |
dc.identifier | 000915010900001 | |
dc.identifier.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 | en |
dc.identifier.issn | 0012-365X | |
dc.identifier.other | ORCID: /0000-0002-0626-7932/work/126031573 | |
dc.identifier.other | ORCID: /0000-0001-8696-4801/work/126031795 | |
dc.identifier.uri | https://hdl.handle.net/10023/26670 | |
dc.description.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. | |
dc.format.extent | 24 | |
dc.format.extent | 617999 | |
dc.language.iso | eng | |
dc.relation.ispartof | Discrete Mathematics | en |
dc.subject | Disjoint partial difference family | en |
dc.subject | External partial difference familiy | en |
dc.subject | Disjoint different family | en |
dc.subject | External difference family | en |
dc.subject | Partial difference set | en |
dc.subject | Cyclotomy | en |
dc.subject | QA Mathematics | en |
dc.subject | T-DAS | en |
dc.subject | MCC | en |
dc.subject.lcc | QA | en |
dc.title | Internal and external partial difference families and cyclotomy | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1016/j.disc.2022.113295 | |
dc.description.status | Peer reviewed | en |
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