Browsing Registrations from Cristin by Author "Calderini, Marco"
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Constructing APN functions through isotopic shifts
Budaghyan, Lilya; Calderini, Marco; Carlet, Claude; Coulter, Robert; Villa, Irene (Journal article; Peer reviewed, 2020)Almost perfect nonlinear (APN) functions over fields of characteristic 2 play an important role in cryptography, coding theory and, more generally, mathematics and information theory. In this paper we deduce a new method ... -
Differentially low uniform permutations from known 4-uniform functions
Calderini, Marco (Journal article; Peer reviewed, 2021)Functions with low differential uniformity can be used in a block cipher as S-boxes since they have good resistance to differential attacks. In this paper we consider piecewise constructions for permutations with low ... -
Generalized isotopic shift construction for APN functions
Budaghyan, Lilya; Calderini, Marco; Carlet, Claude Michael; Coulter, Robert; Villa, Irene (Journal article; Peer reviewed, 2021)In this work we give several generalizations of the isotopic shift construction, introduced recently by Budaghyan et al. (IEEE Trans Inform Theory 66:5299–5309, 2020), when the initial function is a Gold function. In ... -
On construction and (non)existence of c-(almost) perfect nonlinear functions
Bartoli, Daniele; Calderini, Marco (Journal article; Peer reviewed, 2021)Functions with low differential uniformity have relevant applications in cryptography. Recently, functions with low c-differential uniformity attracted lots of attention. In particular, so-called APcN and PcN functions ... -
On equivalence between known families of quadratic APN functions
Budaghyan, Lilya; Calderini, Marco; Villa, Irene (Journal article; Peer reviewed, 2020)This paper is dedicated to a question whether the currently known families of quadratic APN polynomials are pairwise different up to CCZ-equivalence. We reduce the list of these families to those CCZ-inequivalent to each ... -
On properties of translation groups in the affine general linear group with applications to cryptography
Calderini, Marco; Civino, Roberto; Sala, Massimiliano (Journal article; Peer reviewed, 2021)The affine general linear group acting on a vector space over a prime field is a well-understood mathematical object. Its elementary abelian regular subgroups have recently drawn attention in applied mathematics thanks to ... -
On the Boomerang Uniformity of some Permutation Polynomials
Calderini, Marco; Villa, Irene (Journal article; Peer reviewed, 2020)The boomerang attack, introduced by Wagner in 1999, is a cryptanalysis technique against block ciphers based on differential cryptanalysis. In particular it takes into consideration two differentials, one for the upper ... -
On the EA-classes of known APN functions in small dimensions
Calderini, Marco (Journal article; Peer reviewed, 2020)Recently Budaghyan et al. (Cryptogr. Commun. 12, 85–100, 2020) introduced a procedure for investigating if CCZ-equivalence can be more general than EA-equivalence together with inverse transformation (when applicable). In ... -
On Two Fundamental Problems on APN Power Functions
Budaghyan, Lilya; Calderini, Marco; Carlet, Claude Michael; Davidova, Diana; Kaleyski, Nikolay Stoyanov (Journal article; Peer reviewed, 2022)The six infinite families of power APN functions are among the oldest known instances of APN functions, and it has been conjectured in 2000 that they exhaust all possible power APN functions. Another long-standing open ... -
Some group-theoretical results on Feistel Networks in a long-key scenario
Aragona, Riccardo; Calderini, Marco; Civino, Roberto (Journal article; Peer reviewed, 2020)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-like ciphers in a classical long-key scenario ...