Neil I. Gillespie

activity

20112022

most citedParallel window decoding enables scalable fault tolerant quantum computation

76 citations · 131 across the 17 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.CO2016

Alphabet-Almost-Simple 2-Neighbour Transitive Codes

Neil I. Gillespie, Daniel R. Hawtin

Let $X$ be a subgroup of the full automorphism group of the Hamming graph $H (m, q)$ , and $C$ a subset of the vertices of the Hamming graph. We say that $C$ is an \emph{ $(X, 2)$ -neigh…

math.GR2016

Conway's groupoid and its relatives

Nick Gill, Neil I. Gillespie, Jason Semeraro +1

In 1997, John Conway constructed a $6$ -fold transitive subset $M_{13}$ of permutations on a set of size $13$ for which the subset fixing any given point was isomorphic to the Mathi…