#### Filter Results:

- Full text PDF available (13)

#### Publication Year

2002

2017

- This year (2)
- Last 5 years (9)
- Last 10 years (23)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Guglielmo Lunardon, Rocco Trombetti, Yue Zhou
- ArXiv
- 2015

Based on the twisted Gabidulin codes obtained recently by Sheekey, we construct a new family of maximal rank distance codes as a set of qpolynomials over Fqn , which includes the generalized Gabidulin codes and the twisted Gabidulin codes. Their Delsarte duals and adjoint codes are investigated. We also obtain necessary and sufficient conditions for the… (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 ) are elliptic quadrics, this forces that all translation spreads of H(2r ) are semi-classical. By representing H(q) as a coset geometry, we obtain a characterization… (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. Furthermore, this construction is generalized to produce potentially new semifields of the same general type that are not isotopic to cyclic semifields. In particular,… (More)

- Ilaria Cardinali, Olga Polverino, Rocco Trombetti
- Des. Codes Cryptography
- 2003

- Ilaria Cardinali, Olga Polverino, Rocco Trombetti
- Eur. J. Comb.
- 2006

- Norman L. Johnson, Giuseppe Marino, Olga Polverino, Rocco Trombetti
- Finite Fields and Their Applications
- 2008

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

- Guglielmo Lunardon, Giuseppe Marino, Olga Polverino, Rocco Trombetti
- J. Comb. Theory, Ser. A
- 2008

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

For each rank metric code C ⊆ 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 C is K-linear, we also propose and investigate other two invariants called its middle nucleus and right nucleus. When K is a finite field Fq and C is a maximum rank distance code with… (More)

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

All semifields 6–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 non–trivial step towards the complete classification of rank 2 semifields 6–dimensional over their center.