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09/08/2023
The second-order zero differential spectra of some functions over finite fields
It was shown by Boukerrou et al. <cit.> [IACR Trans. Symmetric Cryptol. ...
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12/25/2022
P℘N functions, complete mappings and quasigroup difference sets
We investigate pairs of permutations F,G of 𝔽_p^n such that F(x+a)-G(x) ...
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12/25/2022
Bivariate functions with low c-differential uniformity
Starting with the multiplication of elements in 𝔽_q^2 which is consisten...
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12/04/2022
Several classes of permutation polynomials and their differential uniformity properties
The notion of c-differential uniformity has recently received a lot of p...
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11/25/2022
A quantum algorithm to estimate the closeness to the Strict Avalanche criterion in Boolean functions
We propose a quantum algorithm (in the form of a quantum oracle) that es...
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10/21/2022
The c-differential spectrum of x↦ x^p^n+1/2 in finite fields of odd characteristics
In the paper, we concentrate on the map x↦ x^p^n+1/2 on 𝔽_p^n and using ...
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04/19/2022
Low c-differentially uniform functions via an extension of Dillon's switching method
In this paper we generalize Dillon's switching method to characterize th...
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03/01/2022
Permutation rotation-symmetric Sboxes, liftings and affine equivalence
In this paper, we investigate permutation rotation-symmetric (shift-inva...
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12/06/2021
Low c-differential uniformity for functions modified on subfields
In this paper, we construct some piecewise defined functions, and study ...
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11/08/2021
Higher Order c-Differentials
EFRST20, the notion of c-differentials was introduced as a potential exp...
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07/23/2021
On Boolean Functions with Low Polynomial Degree and Higher Order Sensitivity
Boolean functions are important primitives in different domains of crypt...
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05/10/2021
Boomerang uniformity of a class of power maps
We consider the boomerang uniformity of an infinite class of power maps ...
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10/19/2020
Investigations on c-(almost) perfect nonlinear functions
In a prior paper <cit.>, two of us, along with P. Ellingsen, P. Felke an...
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09/19/2020
Low c-differential and c-boomerang uniformity of the swapped inverse function
Modifying the binary inverse function in a variety of ways, like swappin...
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09/16/2020
Characters, Weil sums and c-differential uniformity with an application to the perturbed Gold function
Building upon the observation that the newly defined <cit.> concept of c...
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07/19/2020
Using double Weil sums in finding the c-Boomerang Connectivity Table for monomial functions on finite fields
In this paper we characterize the c-Boomerang Connectivity Table (BCT), ...
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06/30/2020
A quantum algorithm to estimate the Gowers U_2 norm and linearity testing of Boolean functions
We propose a quantum algorithm to estimate the Gowers U_2 norm of a Bool...
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06/22/2020
C-differential bent functions and perfect nonlinearity
Drawing inspiration from Nyberg's paper <cit.> on perfect nonlinearity a...
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06/02/2020
Vanishing Flats: A Combinatorial Viewpoint on the Planarity of Functions and Their Application
For a function f from 𝔽_2^n to 𝔽_2^n, the planarity of f is usually meas...
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05/30/2020
The c-differential behavior of the inverse function under the EA-equivalence
While the classical differential uniformity (c=1) is invariant under the...
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04/24/2020
Investigations on c-Boomerang Uniformity and Perfect Nonlinearity
We defined in <cit.> a new multiplicative c-differential, and the corres...
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03/31/2020
Some c-(almost) perfect nonlinear functions
In a prior paper, along with P. Ellingsen, P. Felke and A. Tkachenko, we...
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09/09/2019
C-differentials, multiplicative uniformity and (almost) perfect c-nonlinearity
In this paper we define a new (output) multiplicative differential, and ...
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07/22/2019
Root-Hadamard transforms and complementary sequences
In this paper we define a new transform on (generalized) Boolean functio...
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05/30/2019
Partially APN Boolean functions and classes of functions that are not APN infinitely often
In this paper we define a notion of partial APNness and find various cha...
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07/01/2018
A complete characterization of plateaued Boolean functions in terms of their Cayley graphs
In this paper we find a complete characterization of plateaued Boolean f...
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06/20/2018
Generalized bent Boolean functions and strongly regular Cayley graphs
In this paper we define the (edge-weighted) Cayley graph associated to a...
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06/15/2018