11 citations · 46 across the 20 of their papers we have counts for
20 papers
A Geometric Characterization of Maximal Unrefinable Partitions via the Keith-Nath Transformation and Young Diagrams
Riccardo Aragona, Roberto Civino, Lorenzo Campioni
We investigate the combinatorial structure of unrefinable partitions through their correspondence with numerical sets and Young diagrams. Building on the bijection introduced by Ke…
Classification of small binary bibraces via bilinear maps
Roberto Civino, Valerio Fedele
We classify small binary bibraces, using the correspondence with alternating algebras over the field F2, up to dimension eight, also determining their isomorphism classes. These fi…
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…
Optimal s-boxes against alternative operations and linear propagation
Marco Calderini, Roberto Civino, Riccardo Invernizzi
Civino et al. (2019) have shown how some diffusion layers can expose a Substitution-Permutation Network to vulnerability from differential cryptanalysis when employing alternative…
Differential experiments using parallel alternative operations
Marco Calderini, Roberto Civino, Riccardo Invernizzi
The use of alternative operations in differential cryptanalysis, or alternative notions of differentials, are lately receiving increasing attention. Recently, Civino et al. managed…
A definitely periodic chain in the integral Lie ring of partitions
Riccardo Aragona, Roberto Civino, Norberto Gavioli
Given an integer , we introduce the integral Lie ring of partitions with bounded maximal part, whose elements are in one-to-one correspondence to integer partitions with parts i…
A modular idealizer chain and unrefinability of partitions with repeated parts
Riccardo Aragona, Roberto Civino, Norberto Gavioli
Recently Aragona et al. have introduced a chain of normalizers in a Sylow 2-subgroup of Sym(2^n), starting from an elementary abelian regular subgroup. They have shown that the ind…
The number of maximal unrefinable partitions
Riccardo Aragona, Lorenzo Campioni, Roberto Civino
This paper completes the classification of maximal unrefinable partitions, extending a previous work of Aragona et al. devoted only to the case of triangular numbers. We show that…
Verification and generation of unrefinable partitions
Riccardo Aragona, Lorenzo Campioni, Roberto Civino +1
Unrefinable partitions are a subset of partitions into distinct parts which satisfy an additional unrefinability property. More precisely, being an unrefinable partition means that…
On the maximal part in unrefinable partitions of triangular numbers
Riccardo Aragona, Lorenzo Campioni, Roberto Civino +1
A partition into distinct parts is refinable if one of its parts can be replaced by two different integers which do not belong to the partition and whose sum is , and it is…
Unrefinable partitions into distinct parts in a normalizer chain
Riccardo Aragona, Roberto Civino, Norberto Gavioli +1
In a recent paper on a study of the Sylow 2-subgroups of the symmetric group with 2^n elements it has been show that the growth of the first (n-2) consecutive indices of a certain…
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…
On the primitivity of Lai-Massey schemes
Riccardo Aragona, Roberto Civino
In symmetric cryptography, the round functions used as building blocks for iterated block ciphers are often obtained as the composition of different layers providing confusion and…
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…
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…
An Authenticated Key Scheme over Elliptic Curves for Topological Networks
Riccardo Aragona, Roberto Civino, Norberto Gavioli +1
Nodes of sensor networks may be resource-constrained devices, often having a limited lifetime, making sensor networks remarkably dynamic environments. Managing a cryptographic prot…
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…
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…
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…
On the Equivalence of Two Security Notions for Hierarchical Key Assignment Schemes in the Unconditional Setting
Massimo Cafaro, Roberto Civino, Barbara Masucci
The access control problem in a hierarchy can be solved by using a hierarchical key assignment scheme, where each class is assigned an encryption key and some private information.…