Some Self-Orthogonal Codes Related to Higman's Geometry

  • Jamshid Moori
  • B. D. Rodrigues
Keywords: linear codes, Higman's geometry, Higman-Sims group

Abstract

We examine some self-orthogonal codes constructed from a rank-5 primitive permutation representation of degree 1100 of the sporadic simple group ${\rm HS}$ of Higman-Sims. We show that ${\rm Aut}(C) = {\rm HS}{:}2$, where $C$ is a code of dimension 21 associated with Higman's geometry.

Published
2016-10-28
Article Number
P4.15