Partial ‐Parallelisms in Finite Projective Spaces |
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Authors: | Tuvi Etzion |
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Institution: | Department of Computer Science, Haifa, Israel |
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Abstract: | In this paper, we consider the following question. What is the maximum number of pairwise disjoint k‐spreads that exist in PG()? We prove that if divides and then there exist at least two disjoint k‐spreads in PG() and there exist at least pairwise disjoint k‐spreads in PG(n, 2). We also extend the known results on parallelism in a projective geometry from which the points of a given subspace were removed. |
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Keywords: | grassmannian lifted MRD codes parallelism projective geometry spreads subspace transversal design |
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