The Homer System. - Simon Colton; Sophie Huczynska (CADE, 2003)

Grid Classes and the Fibonacci Dichotomy for Restricted Permutations. - Sophie Huczynska; Vincent Vatter (Electron. J. Comb., 2006)

Decomposing simple permutations, with enumerative consequences. - Robert Brignall; Sophie Huczynska; Vincent Vatter (Comb., 2008)

Pattern classes of permutations via bijections between linearly ordered sets. - Sophie Huczynska; Nikola Ruskuc (Eur. J. Comb., 2008)

Simple permutations and algebraic generating functions. - Robert Brignall; Sophie Huczynska; Vincent Vatter (J. Comb. Theory A, 2008)

Modelling Equidistant Frequency Permutation Arrays: An Application of Constraints to Mathematics. - Sophie Huczynska; Paul McKay; Ian Miguel; Peter Nightingale (CP, 2009)

Modelling Equidistant Frequency Permutation Arrays in Constraints. - Ian P. Gent; Paul McKay; Ian Miguel; Peter Nightingale; Sophie Huczynska (SARA, 2009)

The extent to which subsets are additively closed. - Sophie Huczynska; Gary L. Mullen; Joseph L. Yucas (J. Comb. Theory A, 2009)

Equidistant frequency permutation arrays and related constant composition codes. - Sophie Huczynska (Des. Codes Cryptogr., 2010)

Some Erdos-Ko-Rado theorems for injections. - Fiona Brunk; Sophie Huczynska (Eur. J. Comb., 2010)

Existence Results for Finite Field Polynomials with Specified Properties. - Sophie Huczynska (Finite Fields and Their Applications, 2013)

Existence and properties of k-normal elements over finite fields. - Sophie Huczynska; Gary L. Mullen; Daniel Panario; David Thomson (Finite Fields Their Appl., 2013)

Beyond Sum-free Sets in the Natural Numbers. - Sophie Huczynska (Electron. J. Comb., 2014)

Well quasi-order in combinatorics: embeddings and homomorphisms. - Sophie Huczynska; Nik Ruskuc (Surveys in Combinatorics, 2015)

Homomorphic Image Orders on Combinatorial Structures. - Sophie Huczynska; Nik Ruskuc (Order, 2015)

Near-complete external difference families. - James A. Davis; Sophie Huczynska; Gary L. Mullen (Des. Codes Cryptogr., 2017)

On well quasi-order of graph classes under homomorphic image orderings. - Sophie Huczynska; Nikola Ruskuc (Eur. J. Comb., 2017)

Existence and non-existence results for strong external difference families. - Sophie Huczynska; Maura B. Paterson (Discret. Math., 2018)

Weighted external difference families and R-optimal AMD codes. - Sophie Huczynska; Maura B. Paterson (Discret. Math., 2019)

Strong external difference families in abelian and non-abelian groups. - Sophie Huczynska; Christopher Jefferson; Silvia Nepsinská (Cryptogr. Commun., 2021)

Internal and external partial difference families and cyclotomy. - Sophie Huczynska; Laura M. Johnson (Discret. Math., 2023)

Optical orthogonal codes from a combinatorial perspective. - Sophie Huczynska; Siaw-Lynn Ng (CoRR, 2024)

Denniston partial difference sets exist in the odd prime case. - James A. Davis; Sophie Huczynska; Laura M. Johnson; John B. Polhill (Finite Fields Their Appl., 2024)

Beyond uniform cyclotomy. - Sophie Huczynska; Laura M. Johnson; Maura B. Paterson (Finite Fields Their Appl., 2025)

Stephen D. Cohen's contributions to the finite fields community. - Sophie Huczynska; Gary L. Mullen (Finite Fields Their Appl., 2025)

New results on non-disjoint and classical strong external difference families. - Sophie Huczynska; Sophie Hume (Des. Codes Cryptogr., 2025)