17 citations · 52 across the 13 of their papers we have counts for
22 papers
A Closer Look at the Multilinear Cryptography using Nilpotent Groups
Delaram Kahrobaei, Antonio Tortora, Maria Tota
In a previous paper we generalized the definition of a multilinear map to arbitrary groups and introduced two multiparty key-exchange protocols using nilpotent groups. In this pape…
Multilinear Cryptography using Nilpotent Groups
Delaram Kahrobaei, Antonio Tortora, Maria Tota
In this paper we generalize the definition of a multilinear map to arbitrary groups and develop a novel idea of multilinear cryptosystem using nilpotent group identities.
A nilpotency criterion for some verbal subgroups
Carmine Monetta, Antonio Tortora
The word is a simple commutator word if and , for some . For a finite group , we prove that…
Engel groups with an identity
Pavel Shumyatsky, Antonio Tortora, Maria Tota
We give an affrmative answer to the question whether a residually finite Engel group satisfying an identity is locally nilpotent. More generally, for a residually finite group G wi…
A note on Engel elements in the first Grigorchuk group
Marialaura Noce, Antonio Tortora
Let be the first Grigorchuk group. According to a result of Bartholdi, the only left Engel elements of are the involutions. This implies that the set of left Engel elements…
On the primitivity of PRESENT and other lightweight ciphers
Riccardo Aragona, Marco Calderini, Antonio Tortora +1
We provide two sufficient conditions to guarantee that the round functions of a translation based cipher generate a primitive group. Furthermore, under the same hypotheses, and ass…