76 citations · 131 across the 17 of their papers we have counts for
4 papers · 1 filter
Conway groupoids and completely transitive codes
Nick Gill, Neil I. Gillespie, Jason Semeraro
To each supersimple design one associates a `Conway groupoid,' which may be thought of as a natural generalisation of Conway's Mathieu groupoid associated…
Characterisation of a family of neighbour transitive codes
Neil I. Gillespie, Cheryl E. Praeger
We consider codes of length over an alphabet of size as subsets of the vertex set of the Hamming graph . A code for which there exists an automorphism group $X\le…
Generating groups using hypergraphs
Nick Gill, Neil I. Gillespie, Anthony Nixon +1
To a set of 4-subsets of a set of size we introduce an invariant called the `hole stabilizer' which generalises a construction of Conway, Elkies and Martin of…
Twisted Permutation Codes
Neil I. Gillespie, Cheryl E. Praeger, Pablo Spiga
We introduce twisted permutation codes, which are frequency permutation arrays analogous to repetition permutation codes, namely, codes obtained from the repetition construction ap…