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Some new classes of finite parallelisms


Abstract


Some new constructions of parallelisms in PG(3,q) are given that produce parallelisms consisting of one Desarguesian spread and q^{2}+q derived Knuth semifield spreads and other types consisting of one Knuth semifield spread, one Hall spread and the remaining spreads are derived Knuth semifield spreads.


DOI Code: 10.1285/i15900932v20n2p77

Keywords: Parallelisms; Knuth spreads; Semifields

Classification: 51E23; 51A40

Full Text: PDF


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