This work deals with three different constructions of the extended binary Golay code G24. The first construction is based on a projective plane of order four. In terms of it Steiner system (5, 8, 24) is built. Linear span of its blocks forms a linear binary [24, 12, 8] code C. Every binary [24, 12, 8] code is isomorphic to C which is known as extended binary Golay code G24. The second construction uses so-called Miracle Octad Generator (MOG). All MOG-words of weight eight form Steiner system (5, 8, 24). The third construction uses impartial combinatorial game Mogul. In terms of its P-positions one can create a linear binary [24, 12, 8] code. The fact that is is also a lexikographic code is useful for parametres estimate. 1
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:300234 |
| Date | January 2011 |
| Creators | Uchytilová, Vendula |
| Contributors | Drápal, Aleš, Hora, Jan |
| Source Sets | Czech ETDs |
| Language | Czech |
| Detected Language | English |
| Type | info:eu-repo/semantics/masterThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
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