%0 Journal Article
%T Sporadic neighbour-transitive codes in Johnson graphs
%A Max Neunhoeffer
%A Cheryl E Praeger
%J Mathematics
%D 2013
%I arXiv
%R 10.1007/s10623-013-9853-0
%X We classify the neighbour-transitive codes in Johnson graphs J(v, k) of minimum distance at least three which admit a neighbour-transitive group of automorphisms that is an almost simple two-transitive group of degree v and does not occur in an infinite family of two-transitive groups. The result of this classification is a table of 22 codes with these properties. Many have relatively large minimum distance in comparison to their length v and number of code words. We construct an additional five neighbour-transitive codes with minimum distance two admitting such a group. All 27 codes are t-designs with t at least two.
%U http://arxiv.org/abs/1308.0398v1