Some Self-Orthogonal Codes Related to Higman's Geometry

Jamshid Moori, B. D. Rodrigues

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.


Keywords


linear codes; Higman's geometry; Higman-Sims group

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