We prove that there exist exactly three non-equivalent symplectic semifield spreads of PG(5,q2), for q2>2·38odd, whose associated semifield has center containing Fq . Equivalently, we classify, up to isotopy, commutative semifields of order q6, for q2>2· 38odd, with middle nucleus containing Fq2and center containing Fq.
On symplectic semifield spreads of PG(5,q^2), q odd
Marino, Giuseppe;
2018
Abstract
We prove that there exist exactly three non-equivalent symplectic semifield spreads of PG(5,q2), for q2>2·38odd, whose associated semifield has center containing Fq . Equivalently, we classify, up to isotopy, commutative semifields of order q6, for q2>2· 38odd, with middle nucleus containing Fq2and center containing Fq.File in questo prodotto:
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