Fractional dimension of binary Knuth semifield planes
Copyright policy )Fractional dimension of binary Knuth semifield planes
AbstractWe prove that semifield planes π(𝕂2m) coordinatized by the commutative binary Knuth semifield 𝕂2m, m=nk (m odd) are fractional dimensional with respect to a subplane isomorphic to PG(2, 4) if either n=9 or n≡\0(mod 3) and one of the trinomials xn+xs+1, s∈{1, 2, 3, 5}, is irreducible over the Galois field 𝔽2. © 2012 Wiley Periodicals, Inc. J. Combin. Designs 20: 317–327, 2012
semifield plane, fractional dimensional plane, Translation planes and spreads in linear incidence geometry, dimensional plane, semifield, semifield; semifield plane; fractional dimensional plane
semifield plane, fractional dimensional plane, Translation planes and spreads in linear incidence geometry, dimensional plane, semifield, semifield; semifield plane; fractional dimensional plane
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