On twin prime power Hadamard matrices. - Padraig Ó Catháin; Richard M. Stafford (Cryptogr. Commun., 2010)

The cocyclic Hadamard matrices of order less than 40. - Padraig Ó Catháin; Marc Röder (Des. Codes Cryptogr., 2011)

Difference sets and doubly transitive actions on Hadamard matrices. - Padraig Ó Catháin (J. Comb. Theory A, 2012)

Inequivalence of Difference Sets: On a Remark of Baumert. - Padraig Ó Catháin (Electron. J. Comb., 2013)

Compressed sensing and designs: theory and simulations. - Darryn E. Bryant; Charles J. Colbourn; Daniel Horsley; Padraig Ó Catháin (CoRR, 2015)

Remark on a result of Constantine. - Padraig Ó Catháin (CoRR, 2015)

Sparsification of Matrices and Compressed Sensing. - Fintan Hegarty; Padraig Ó Catháin; Yunbin Zhao (CoRR, 2015)

Compressed Sensing With Combinatorial Designs: Theory and Simulations. - Darryn E. Bryant; Charles J. Colbourn; Daniel Horsley; Padraig Ó Catháin (IEEE Trans. Inf. Theory, 2017)

Construction of the Outer Automorphism of $${ mathcal {S}}_{6}$$ S 6 via a Complex Hadamard Matrix. - Neil I. Gillespie; Padraig Ó Catháin; Cheryl E. Praeger (Math. Comput. Sci., 2018)

Foreword. - Dardo Goyeneche; Ilias S. Kotsireas; Padraig Ó Catháin (Math. Comput. Sci., 2018)

Spectra of Hadamard matrices. - Ronan Egan; Padraig Ó Catháin; Eric Swartz (Australas. J Comb., 2019)

Improved user-private information retrieval via finite geometry. - Oliver W. Gnilke; Marcus Greferath; Camilla Hollanti; Guillermo Nuñez Ponasso; Padraig Ó Catháin; Eric Swartz (Des. Codes Cryptogr., 2019)

Homomorphisms of matrix algebras and constructions of Butson-Hadamard matrices. - Padraig Ó Catháin; Eric Swartz (Discret. Math., 2019)

Explicit Correlation Amplifiers for Finding Outlier Correlations in Deterministic Subquadratic Time. - Matti Karppa; Petteri Kaski; Jukka Kohonen; Padraig Ó Catháin (Algorithmica, 2020)

Morphisms of Skew Hadamard Matrices. - Philip Heikoop; Guillermo Nuñez Ponasso; Padraig Ó Catháin; John Pugmire (Bull. ICA, 2020)

A Survey of the Hadamard Maximal Determinant Problem. - Patrick Browne; Ronan Egan; Fintan Hegarty; Padraig Ó Catháin (Electron. J. Comb., 2021)

Block avoiding point sequencings of partial Steiner systems. - Daniel Horsley; Padraig Ó Catháin (Des. Codes Cryptogr., 2022)

A generalisation of bent vectors for Butson Hadamard matrices. - José Andrés Armario; Ronan Egan; Hadi Kharaghani; Padraig Ó Catháin (CoRR, 2024)