Blar i Bergen Open Research Archive på forfatter "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 ... -
A note on some algebraic trapdoors for block ciphers
Calderini, Marco (Peer reviewed; Journal article, 2018)We provide sufficient conditions to guarantee that a translation based cipher is not vulnerable with respect to the partition-based trapdoor. This trapdoor has been introduced, recently, by Bannier et al. (2016) and it ... -
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 Isotopic Shift Construction for Planar Functions
Budaghyan, Lilya; Calderini, Marco; Carlet, Claude; Coulter, Robert; Villa, Irene (Chapter; Conference object; Peer reviewed, 2019)CCZ-equivalence is the most general currently known equivalence relation for functions over finite fields preserving planarity and APN properties. However, for the particular case of quadratic planar functions isotopic ... -
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 relations between CCZ- and EA-equivalences
Villa, Irene; Calderini, Marco; Budaghyan, Lilya (Peer reviewed; Journal article, 2020)In the present paper we introduce some sufficient conditions and a procedure for checking whether, for a given function, CCZ-equivalence is more general than EA-equivalence together with taking inverses of permutations. ... -
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 ... -
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 ... -
Wave-shaped round functions and primitive groups
Aragona, Riccardo; Calderini, Marco; Civino, Roberto; Sala, Massimiliano; Zappatore, Ilaria (Peer reviewed; Journal article, 2019)Round functions used as building blocks for iterated block ciphers, both in the case of Substitution-Permutation Networks (SPN) and Feistel Networks (FN), are often obtained as the composition of different layers. The ...