6 citations · 10 across the 4 of their papers we have counts for
4 papers
A semifield of order 128 and fractional dimension relative to one of its subsemifields
Ignacio Fernández Rúa, Elías Fernández-Combarro Álvarez
In this short note, an example of a semifield of order 128 containing the Galois field is given. Up to our knowledge, this is the first example supporting the follow…
A Note on a Standard Model for Galois Rings
E. Martínez-Moro, A. Piñera-Nicolás, I. F. Rúa
In this work, we present a standard model for Galois rings based on the standard model of their residual fields, that is, a sequence of Galois rings starting with ${\mathbb Z}_{p^r…
Classification of 64-element finite semifields
I. F. Rúa, Elías F. Combarro, J. Ranilla
A finite semifield is a finite nonassociative ring with identity such that the set is closed under the product. In this paper we obtain a computer-assiste…
New Semifield Planes of order 81
I. F. Rúa, E. F. Combarro
A finite semifield is a finite nonassociative ring with identity such that the set of its nonzero elements is closed under the product. From any finite semifield a projective plane…