Parallelisms of PG ( 3 , 5 ) with automorphisms of order 13 1

نویسندگان

  • Svetlana Topalova
  • Stela Zhelezova
  • Stefan Dodunekov
چکیده

A spread is a set of lines of PG(n, q), which partition the point set. A parallelism is a partition of the set of lines by spreads. Some constructions of constant dimension codes that contain lifted MRD codes are based on parallelisms of projective spaces. We construct all (321) parallelisms in PG(3, 5) with automorphisms of order 13 and find the order of their full automorphism groups.

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تاریخ انتشار 2013