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We prove that the near hexagon associated with the extended ternary Golay code has, up to isomorphism, 25 hyperplanes, and give an explicit construction for each of them. As a… Click to show full abstract
We prove that the near hexagon associated with the extended ternary Golay code has, up to isomorphism, 25 hyperplanes, and give an explicit construction for each of them. As a main tool in the proof, we show that the classification of these hyperplanes is equivalent to the determination of the orbits on vectors of certain modules for the group $$2 \cdot M_{12}$$2·M12.
Keywords:
golay code;
extended ternary;
ternary golay;
near hexagon
Journal Title: Geometriae Dedicata
Year Published: 2018
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Journal Title: Geometriae Dedicata
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!