Some Self-Orthogonal Codes Related to Higman's Geometry

[摘要] 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 ass

[学科分类] 离散数学和组合数学

[关键词] linear codes;Higman's geometry;Higman-Sims group