5 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…
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…
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…
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…