Dr Sophie Huczynska
Reader
- Phone
- +44 (0)1334 46 3711
- sh70@st-andrews.ac.uk
- Office
- 312 MI
- Location
- Mathematical Institute
Biography
Dr Huczynska joined the School in 2003, having obtained her PhD at the University of Glasgow and worked as a researcher at the University of Edinburgh. She held a Royal Society Dorothy Hodgkin Research Fellowship from 2004-2010, before becoming a Lecturer in 2010, Senior Lecturer in 2015 and Reader in 2023. She has worked part-time since 2008.
Research areas
My research interests are in the area of combinatorics and finite fields. One of my main current research activities concerns the application of combinatorial structures (particularly external difference families and their generalizations) to coding theory and cryptography. I am also interested in how combinatorial objects such as graphs, digraphs and permutations may be viewed as relational structures.
More information about my research may be found on my personal website https://shuczynska.github.io/index.html
PhD supervision
- Struan McCartney
Selected publications
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Open access
Denniston partial difference sets exist in the odd prime case
Davis, J. A., Huczynska, S., Johnson, L. & Polhill, J., 1 Oct 2024, In: Finite Fields and Their Applications. 99, 13 p., 102499.Research output: Contribution to journal › Article › peer-review
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Open access
New constructions for disjoint partial difference families and external partial difference families
Huczynska, S. & Johnson, L., Apr 2024, In: Journal of Combinatorial Designs. 32, 4, p. 190-213 24 p.Research output: Contribution to journal › Article › peer-review
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Open access
Non-disjoint strong external difference families can have any number of sets
Huczynska, S. & Ng, S.-L., 30 Apr 2024, (E-pub ahead of print) In: Archiv der Mathematik. 11 p.Research output: Contribution to journal › Article › peer-review
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Open access
Internal and external partial difference families and cyclotomy
Huczynska, S. & Johnson, L., 1 Mar 2023, In: Discrete Mathematics. 346, 3, 24 p., 113295.Research output: Contribution to journal › Article › peer-review
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Open access
Strong external difference families in abelian and non-abelian groups
Huczynska, S., Jefferson, C. & Nepšinská, S., Mar 2021, In: Cryptography and Communications . 13, 2, p. 331–341 11 p.Research output: Contribution to journal › Article › peer-review
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Open access
Characterising bimodal collections of sets in finite groups
Huczynska, S. & Paterson, M., 9 Jul 2019, (E-pub ahead of print) In: Archiv der Mathematik. First Online, 10 p.Research output: Contribution to journal › Article › peer-review
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Open access
Weighted external difference families and R-optimal AMD codes
Huczynska, S. & Paterson, M., Mar 2019, In: Discrete Mathematics. 342, 3, p. 855-867Research output: Contribution to journal › Article › peer-review
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Open access
Existence and non-existence results for strong external difference families
Huczynska, S. & Paterson, M. B., Jan 2018, In: Discrete Mathematics. 341, 1, p. 87-95Research output: Contribution to journal › Article › peer-review
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Open access
Near-complete external difference families
Davis, J. A., Huczynska, S. & Mullen, G. L., Sept 2017, In: Designs, Codes and Cryptography. 84, 3, p. 415-424 10 p.Research output: Contribution to journal › Article › peer-review
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Open access
On well quasi-order of graph classes under homomorphic image orderings
Huczynska, S. & Ruškuc, N., Jun 2017, In: European Journal of Combinatorics. 63, p. 164-175 12 p.Research output: Contribution to journal › Article › peer-review