Some Remarks on Self-Dual Codes Invariant Under Almost Simple Permutation Groups
Bernardo Gabriel Rodrigues, Tendai M. Mudziiri Shumba · Cambridge University Press eBooks · 2019
We present some recent advances on the question of enumeration and classification of self-dual codes invariant under finite non-solvable permutation groups. In particular, we examine the question for almost simple groups of sporadic or rank 3 types. As a by-product we determine all doubly even and extremal codes of length n ≤ 4095 which admit an almost simple group of sporadic or rank 3 type as a permutation group of automorphisms acting transitively on the code’s coordinate positions.