1School of Mathematical Sciences North-West University (Mafikeng) Mmabatho 2735, South Africa 2School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal Durban 4000 South Africa
The electronic journal of combinatorics, Tome 23 (2016) no. 4
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.
Classification :
94B05, 05B05, 20D08, 94B25
Mots-clés :
linear codes, Higman's geometry, Higman-Sims group
Affiliations des auteurs :
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
@article{10_37236_5541,
author = {Jamshid Moori and B. D. Rodrigues},
title = {geometry},
journal = {The electronic journal of combinatorics},
year = {2016},
volume = {23},
number = {4},
doi = {10.37236/5541},
zbl = {1431.94164},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5541/}
}
TY - JOUR
AU - Jamshid Moori
AU - B. D. Rodrigues
TI - geometry
JO - The electronic journal of combinatorics
PY - 2016
VL - 23
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DO - 10.37236/5541
ID - 10_37236_5541
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%A Jamshid Moori
%A B. D. Rodrigues
%T geometry
%J The electronic journal of combinatorics
%D 2016
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Jamshid Moori; B. D. Rodrigues. geometry. The electronic journal of combinatorics, Tome 23 (2016) no. 4. doi: 10.37236/5541