activity
20142026
most citedRegular subgroups with large intersection

11 citations · 46 across the 20 of their papers we have counts for

collaborators
Showing math.GRShow all

7 papers · 1 filter

math.GR2024

Binary bi-braces and applications to cryptography

Roberto Civino, Valerio Fedele

In a XOR-based alternating block cipher the plaintext is masked by a sequence of layers each performing distinct actions: a highly nonlinear permutation, a linear transformation, a…

math.GR2021

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…

math.GR2020★ 8 cited

Rigid commutators and a normalizer chain

Riccardo Aragona, Roberto Civino, Norberto Gavioli +1

The novel notion of rigid commutators is introduced to determine the sequence of the logarithms of the indices of a certain normalizer chain in the Sylow 2-subgroup of the symmetri…

math.GR2020★ 5 cited

A Chain of Normalizers in the Sylow -subgroups of the symmetric group on letters

Riccardo Aragona, Roberto Civino, Norberto Gavioli +1

On the basis of an initial interest in symmetric cryptography, in the present work we study a chain of subgroups. Starting from a Sylow -subgroup of AGL(2,n), each term of the c…

math.GR2019★ 3 cited

Some group-theoretical results on Feistel Networks in a long-key scenario

Riccardo Aragona, Marco Calderini, Roberto Civino

The study of the trapdoors that can be hidden in a block cipher is and has always been a high-interest topic in symmetric cryptography. In this paper we focus on Feistel-network-li…

math.GR2018★ 11 cited

Regular subgroups with large intersection

Riccardo Aragona, Roberto Civino, Norberto Gavioli +1

In this paper we study the relationships between the elementary abelian regular subgroups and the Sylow -subgroups of their normalisers in the symmetric group $\mathrm{Sym}(\mat…

math.GR2017

Wave-Shaped Round Functions and Primitive Groups

Riccardo Aragona, Marco Calderini, Roberto Civino +2

Round functions used as building blocks for iterated block ciphers, both in the case of Substitution-Permutation Networks and Feistel Networks, are often obtained as the compositio…