17 citations · 49 across the 14 of their papers we have counts for
14 papers
On the cardinality of irredundant and minimal bases of finite permutation groups
Francesca Dalla Volta, Fabio Mastrogiacomo, Pablo Spiga
Given a finite permutation group with domain , we associate two subsets of natural numbers to , namely and , which are the sets of ca…
The -Möbius function of a finite group
Francesca Dalla Volta, Andrea Lucchini
The Möbius function of the subgroup lettice of a finite group has been introduced by Hall and applied to investigate several different questions. We propose the following gener…
On the primitivity of the AES-128 key-schedule
Riccardo Aragona, Roberto Civino, Francesca Dalla Volta
The key-scheduling algorithm in the AES is the component responsible for selecting from the master key the sequence of round keys to be xor-ed to the partially encrypted state at e…
The Möbius function of for any prime
Martino Borello, Francesca Dalla Volta, Giovanni Zini
Let be the simple group , where is a prime number. For any subgroup of , we compute the Möbius function of in the subgroup lattice of . To t…
The round functions of cryptosystem PGM generate the symmetric group
A. Caranti, F. Dalla Volta
S. S. Magliveras et al. have described symmetric and public key cryptosystems based on logarithmic signatures (also known as group bases) for finite permutation groups. In this pap…
Groups that have the same holomorph as a finite perfect group
A. Caranti, F. Dalla Volta
We describe the groups that have the same holomorph as a finite perfect group. Our results are complete for centerless groups. When the center is non-trivial, some questions remain…