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

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Showing 2014 · math.GRShow all

2 papers · 2 filters

math.GR2014★ 2 cited

Conway groupoids and completely transitive codes

Nick Gill, Neil I. Gillespie, Jason Semeraro

To each supersimple $2 - (n, 4, λ)$ design $D$ one associates a `Conway groupoid,' which may be thought of as a natural generalisation of Conway's Mathieu groupoid associated…

math.GR2014

Generating groups using hypergraphs

Nick Gill, Neil I. Gillespie, Anthony Nixon +1

To a set $B$ of 4-subsets of a set $Ω$ of size $n$ we introduce an invariant called the `hole stabilizer' which generalises a construction of Conway, Elkies and Martin of…