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Strong external difference families in abelian and non-abelian groups
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dc.contributor.author | Huczynska, Sophie | |
dc.contributor.author | Jefferson, Christopher | |
dc.contributor.author | Nepšinská, Silvia | |
dc.date.accessioned | 2021-02-18T10:30:10Z | |
dc.date.available | 2021-02-18T10:30:10Z | |
dc.date.issued | 2021-03 | |
dc.identifier | 272600639 | |
dc.identifier | 6aaaedbf-327b-4924-bf5a-cadc23ce3097 | |
dc.identifier | 85100828851 | |
dc.identifier | 000616166600001 | |
dc.identifier.citation | Huczynska , S , Jefferson , C & Nepšinská , S 2021 , ' Strong external difference families in abelian and non-abelian groups ' , Cryptography and Communications , vol. 13 , no. 2 , pp. 331–341 . https://doi.org/10.1007/s12095-021-00473-3 | en |
dc.identifier.issn | 1936-2447 | |
dc.identifier.other | ORCID: /0000-0002-0626-7932/work/89178220 | |
dc.identifier.other | ORCID: /0000-0003-2979-5989/work/89178314 | |
dc.identifier.uri | https://hdl.handle.net/10023/21447 | |
dc.description | The second author is supported by a Royal Society University Research Fellowship. | en |
dc.description.abstract | Strong external difference families (SEDFs) have applications to cryptography and are rich combinatorial structures in their own right. We extend the definition of SEDF from abelian groups to all finite groups, and introduce the concept of equivalence. We prove new recursive constructions for SEDFs and generalized SEDFs (GSEDFs) in cyclic groups, and present the first family of non-abelian SEDFs. We prove there exist at least two non-equivalent (k2 + 1,2,k,1)-SEDFs for every k > 2, and begin the task of enumerating SEDFs, via a computational approach which yields complete results for all groups up to order 24. | |
dc.format.extent | 11 | |
dc.format.extent | 283167 | |
dc.language.iso | eng | |
dc.relation.ispartof | Cryptography and Communications | en |
dc.subject | Strong external difference family | en |
dc.subject | R-optimal AMD code | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QA | en |
dc.title | Strong external difference families in abelian and non-abelian groups | en |
dc.type | Journal article | en |
dc.contributor.sponsor | The Royal Society | 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.contributor.institution | University of St Andrews. Centre for Research into Equality, Diversity & Inclusion | en |
dc.contributor.institution | University of St Andrews. School of Computer Science | en |
dc.contributor.institution | University of St Andrews. St Andrews GAP Centre | en |
dc.identifier.doi | 10.1007/s12095-021-00473-3 | |
dc.description.status | Peer reviewed | en |
dc.identifier.grantnumber | URF\R\180015 | en |
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