Kantor and Williams (Trans Am Soc 356:895-938, 2004) introduced a family of non-desarguesian symplectic semifields of even order and studied a number of structures connected with such semifields; namely, symplectic spreads, orthogonal spreads and Z 4-linear codes. Also, they provided equivalence results concerning such objects, although under certain field restrictions. In this article we will succeed in removing such hypotheses.
A remark on symplectic semifield planes and Z4-linear codes
MARINO, Giuseppe;POLVERINO, Olga;
2013
Abstract
Kantor and Williams (Trans Am Soc 356:895-938, 2004) introduced a family of non-desarguesian symplectic semifields of even order and studied a number of structures connected with such semifields; namely, symplectic spreads, orthogonal spreads and Z 4-linear codes. Also, they provided equivalence results concerning such objects, although under certain field restrictions. In this article we will succeed in removing such hypotheses.File in questo prodotto:
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