geometry
The electronic journal of combinatorics, Tome 23 (2016) no. 4
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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.
DOI : 10.37236/5541
Classification : 94B05, 05B05, 20D08, 94B25
Mots-clés : linear codes, Higman's geometry, Higman-Sims group

Jamshid Moori  1   ; B. D. Rodrigues  2

1 School of Mathematical Sciences North-West University (Mafikeng) Mmabatho 2735, South Africa
2 School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal Durban 4000 South Africa
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     author = {Jamshid Moori and B. D. Rodrigues},
     title = {geometry},
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Jamshid Moori; B. D. Rodrigues. geometry. The electronic journal of combinatorics, Tome 23 (2016) no. 4. doi: 10.37236/5541

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