7 citations · 15 across the 21 of their papers we have counts for
25 papers
Majorization and additive tuples in
Sophie Huczynska, Firdavs Rakhmonov, Chi Hoi Yip
Majorization is a fundamental tool for comparing how "spread out" the entries of two vectors are. Key majorization results were obtained for the integers by Hardy, Littlewood and P…
Cyclotomic skew partial difference sets and partial difference families
Sophie Huczynska, Tekgül Kalaycı
Skew partial difference sets (skew PDSs) are recently-introduced combinatorial objects closely related to partial difference sets (PDSs). To date, only one construction approach fo…
Graph labellings and external difference families
Gavin Angus, Sophie Huczynska, Struan McCartney
Digraph-defined external difference families were recently introduced as a natural generalization of several well-studied combinatorial objects motivated by cryptography (e.g. exte…
The Intersection Distribution: New Results and Perspectives
Sophie Huczynska, Lukas Klawuhn, Maura B. Paterson
Intersection distribution and non-hitting index are concepts introduced recently by Li and Pott as a new way to view the behaviour of a collection of finite field polynomials. With…
Digraph-defined external difference families and new circular external difference families
Sophie Huczynska, Christopher Jefferson, Struan McCartney
External difference families (EDFs) are combinatorial objects which were introduced in the early 2000s, motivated by information security applications such as the construction of A…
Strongly Regular Graphs with Generalized Denniston and Dual Generalized Denniston Parameters
Shuxing Li, James A. Davis, Sophie Huczynska +2
We construct two families of strongly regular Cayley graphs, or equivalently, partial difference sets, based on elementary abelian groups. The parameters of these two families are…