Spreads on Three-dimensional Projective Space order (19)
DOI:
https://doi.org/10.56714/bjrs.51.2.16Keywords:
Projective Space, PG(3,19), Galois Field, (K,L)-Spread, Disjoint Lines, Three-Dimensional Geometry, Finite Geometry, Combinatorial StructuresAbstract
The aim of this work is to study the three–dimensional projective space PG (3, 19) by using algebraic equations. We determine the points, lines, and planes of this space. In addition, we construct a (K,L)-spread, which is defined as a set of K mutually disjoint lines in PG(3,19). We prove that the maximum complete (K,L)-spread in PG(3,19) consists of 362 lines, and that this spread covers all points of the space, hence forming a span.
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