GRFeb 8, 2021
A Closer Look at the Multilinear Cryptography using Nilpotent GroupsDelaram 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 paper we have a closer look at the protocols and will address some incorrect cryptanalysis which have been proposed.
CRFeb 23, 2019
Multilinear Cryptography using Nilpotent GroupsDelaram 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.
GRNov 4, 2016
On the primitivity of PRESENT and other lightweight ciphersRiccardo Aragona, Marco Calderini, Antonio Tortora et al.
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 assuming that a round of the cipher is strongly proper and consists of m-bit S-Boxes, with m = 3; 4 or 5, we prove that such a group is the alternating group. As an immediate consequence, we deduce that the round functions of some lightweight translation based ciphers, such as the PRESENT cipher, generate the alternating group.