Publications

Improved user-private information retrieval via finite geometry. The 10th International Workshop on Coding and Cryptography (2017). Joint work with Padraig Ó Catháin, Eric Swartz, Oliver Gnilke, Camilla Hollanti and Marcus Greferath. We generalize work of Swanson and Stinson to construct communication protocols in which users retain privacy even after the defection of a coalition of users whose size grows as a root function of the total number of users. Previous protocols could be compromised by a finite number of users.

Improved user-private information retrieval via finite geometry. Designs, Codes and Cryptography, 87(2-3), 665-677 (2019).
Joint work with Padraig Ó Catháin, Eric Swartz, Oliver Gnilke, Camilla Hollanti and Marcus Greferath. Journal version of publication 1 on this list. We extended that paper to include analysis of the known families of generalised quadrangles.

Morphisms of Skew Hadamard Matrices. Bull. Inst. Combin. Appl. 90 (2020), 50-62.
Joint work with Padraig Ó Catháin, Philip Heikoop and Jack Pugmire. We consider morphisms from Quaternary Unit Hadamard matrices (introduced by Fender, Kharaghani and Suda) to real Hadamard matrices. The construction recovers a classic result of Mukhopadhyay and Seberry. We also find nonexistence conditions for QUH matrices by considering the splitting of prime ideals in biquadratic number fields.