Parallel window decoding enables scalable fault tolerant quantum computation L Skoric, DE Browne, KM Barnes, NI Gillespie, ET Campbell
Nature Communications 14 (1), 7040, 2023
85 2023 A real-time, scalable, fast and highly resource efficient decoder for a quantum computer B Barber, KM Barnes, T Bialas, O Buğdaycı, ET Campbell, NI Gillespie, ...
arXiv preprint arXiv:2309.05558, 2023
28 2023 Neighbour transitivity on codes in Hamming graphs NI Gillespie, CE Praeger
Designs, codes and cryptography 67, 385-393, 2013
23 2013 Diagonally neighbour transitive codes and frequency permutation arrays NI Gillespie, CE Praeger
Journal of Algebraic Combinatorics 39, 733-747, 2014
16 2014 Conway groupoids and completely transitive codes N Gill, NI Gillespie, J Semeraro
Combinatorica 38, 399-442, 2018
14 2018 New characterisations of the Nordstrom–Robinson codes NI Gillespie, CE Praeger
Bulletin of the London Mathematical Society 49 (2), 320-330, 2017
14 2017 Uniqueness of certain completely regular Hadamard codes NI Gillespie, CE Praeger
Journal of Combinatorial Theory, Series A 120 (7), 1394-1400, 2013
14 2013 Practical quantum computing: The value of local computation JR Cruise, NI Gillespie, B Reid
arXiv preprint arXiv:2009.08513, 2020
13 2020 Entry-faithful 2-neighbour transitive codes NI Gillespie, M Giudici, DR Hawtin, CE Praeger
Designs, codes and cryptography 79 (3), 549-564, 2016
12 2016 Alphabet-Almost-Simple 2-Neighbour Transitive Codes NI Gillespie, DR Hawtin
arXiv preprint arXiv:1609.01886, 2016
10 2016 Generating groups using hypergraphs N Gill, NI Gillespie, A Nixon, J Semeraro
The Quarterly Journal of Mathematics 67 (1), 29-52, 2016
8 2016 Characterisation of a family of neighbour transitive codes NI Gillespie, CE Praeger
arXiv preprint arXiv:1405.5427, 2014
8 2014 Equiangular lines, incoherent sets and quasi-symmetric designs NI Gillespie
arXiv preprint arXiv:1809.05739, 2018
6 2018 NI Gillespie, DR Hawtin, CE Praeger
arXiv preprint arXiv:1806.10514, 2018
6 2018 Elusive codes in Hamming graphs DR Hawtin, NI Gillespie, CE Praeger
Bulletin of the Australian Mathematical Society 88 (2), 286-296, 2013
6 2013 Twisted permutation codes NI Gillespie, CE Praeger, P Spiga
Journal of Group Theory 18 (3), 407-433, 2015
5 2015 Classification of a family of completely transitive codes NI Gillespie, M Giudici, CE Praeger
arXiv preprint arXiv:1208.0393, 2012
5 2012 Increasing the minimum distance of codes by twisting M Akbari, NI Gillespie, CE Praeger
arXiv preprint arXiv:1511.07154, 2015
4 2015 Conway groupoids, regular two-graphs and supersimple designs N Gill, NI Gillespie, CE Praeger, J Semeraro
arXiv preprint arXiv:1510.06680, 2015
4 2015 Demonstrating real-time and low-latency quantum error correction with superconducting qubits L Caune, L Skoric, NS Blunt, A Ruban, J McDaniel, JA Valery, ...
arXiv preprint arXiv:2410.05202, 2024
3 2024 