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- Guglielmo Lunardon, Rocco Trombetti, Yue Zhou
- J. Comb. Theory, Ser. A
- 2018

Based on the twisted Gabidulin codes obtained recently by Sheekey, we construct a new family of maximal rank distance codes as a set of q-polynomials over F q n , which includes the generalizedâ€¦ (More)

- Ilaria Cardinali, Guglielmo Lunardon, Olga Polverino, Rocco Trombetti
- Eur. J. Comb.
- 2002

In this paper we prove that the projections along reguli of a translation spread of the classical generalized hexagon H(q) are translation ovoids of Q(4, q). As translation ovoids of Q(4, 2r ) areâ€¦ (More)

A new construction is given of cyclic semifields of orders q2n, n odd, with kernel (left nucleus) Fqn and right and middle nuclei isomorphic to Fq2 , and the isotopism classes are determined.â€¦ (More)

- Giuseppe Marino, Olga Polverino, Rocco Trombetti
- J. Comb. Theory, Ser. A
- 2007

- Giuseppe Marino, Olga Polverino, Rocco Trombetti
- Des. Codes Cryptography
- 2011

All semifields 6â€“dimensional over the center Fq, with one nucleus of order q and at least one of the remaining nuclei of order q, are classified. The main result represents a further nonâ€“trivial stepâ€¦ (More)

- Guglielmo Lunardon, Rocco Trombetti, Yue Zhou
- ArXiv
- 2016

For each rank metric code C âŠ† K, we associate a translation structure, the kernel of which is showed to be invariant with respect to the equivalence on rank metric codes. When K is a finite field Fqâ€¦ (More)

The semifields of order q which are two-dimensional over their left nucleus and six-dimensional over their center have been geometrically partitioned into six classes by using the associated linearâ€¦ (More)

- Laura Bader, Rocco Trombetti
- Eur. J. Comb.
- 2004

We give a characterization of transla tion ovoids of flock generali zed quadrangles. Then we prove that, if q = 2e, each elation generalized quadrangle defined by a flock has a large class ofâ€¦ (More)

- Guglielmo Lunardon, Giuseppe Marino, Olga Polverino, Rocco Trombetti
- Des. Codes Cryptography
- 2013

Kantor and Williams (Trans Am Soc 356:895â€“938, 2004) introduced a family of non-desarguesian symplectic semifields of even order and studied a number of structures connected with such semifields;â€¦ (More)

- Rocco Trombetti, Yue Zhou
- ArXiv
- 2017

In this paper, we present a new family of maximum rank distance (MRD for short) codes in F q of minimum distance 2 â‰¤ d â‰¤ 2n. In particular, when d = 2n, we can show that the corresponding semifieldâ€¦ (More)