Abstract
We discuss the methods used in constructing designs and codes from the fixed points of the Sylow p-subgroups of the 2 points stabilizers in the 2-transitive permutation representation of finite groups. To illustrate the methods we apply them to the simple groups L 3(q) (q ≥ 3) and Higman-Sims sporadic simple group HS. This talked is based on the results included in an article entitled “2-designs and codes from 2-transitive simple groups” which is appearing in the Utilitas Mathematica.
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Supports from NRF, AIMS and North-West University (Mafikeng) are acknowledged.
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Moori, J., Radohery, G.F.R. (2015). 2-Designs and Codes from Simple Groups L 3(q) and Higman-Sims Sporadic Simple Group HS . In: Pinto, R., Rocha Malonek, P., Vettori, P. (eds) Coding Theory and Applications. CIM Series in Mathematical Sciences, vol 3. Springer, Cham. https://doi.org/10.1007/978-3-319-17296-5_30
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DOI: https://doi.org/10.1007/978-3-319-17296-5_30
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