geometry (Q727187)
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scientific article; zbMATH DE number 6661367
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | geometry |
scientific article; zbMATH DE number 6661367 |
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geometry (English)
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6 December 2016
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Summary: We examine some self-orthogonal codes constructed from a rank-5 primitive permutation representation of degree 1100 of the sporadic simple group \(\mathrm{HS}\) of Higman-Sims. We show that \(\Aut(C) = \mathrm{HS}:2\), where \(C\) is a code of dimension 21 associated with Higman's geometry.
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linear codes
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Higman's geometry
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Higman-Sims group
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