Search Results - "Stănică, Pantelimon"
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Cryptographic Boolean Functions and Applications
Published 2009“…Boolean functions are the building blocks of symmetric cryptographic systems. Symmetrical cryptographic algorithms are fundamental tools in the design of all…”
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Investigations on c-boomerang uniformity and perfect nonlinearity
Published in Discrete Applied Mathematics (15-12-2021)“…We defined in Ellingsen et al. (2020) a new multiplicative c-differential, and the corresponding c-differential uniformity and we characterized the known…”
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Low c-differential and c-boomerang uniformity of the swapped inverse function
Published in Discrete mathematics (01-10-2021)“…Modifying the binary inverse function in a variety of ways, like swapping two output points has been known to produce a 4-differential uniform permutation…”
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Using double Weil sums in finding the c-boomerang connectivity table for monomial functions on finite fields
Published in Applicable algebra in engineering, communication and computing (01-07-2023)“…In this paper we characterize the c -Boomerang Connectivity Table (BCT), c ≠ 0 (thus, including the classical c = 1 case), for all monomial function x d in…”
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SIERPIŃSKI AND CARMICHAEL NUMBERS
Published in Transactions of the American Mathematical Society (01-01-2015)“…We establish several related results on Carmichael, Sierpiński and Riesel numbers. First, we prove that almost all odd natural numbers k have the property that…”
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FACTORIZATIONS AND REPRESENTATIONS OF BINARY POLYNOMIAL RECURRENCES BY MATRIX METHODS
Published in The Rocky Mountain journal of mathematics (01-01-2011)“…In this paper we derive factorizations and representations of a polynomial analogue of an arbitrary binary sequence by matrix methods. It generalizes various…”
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On the c-differential uniformity of certain maps over finite fields
Published in Designs, codes, and cryptography (01-02-2021)“…We give some classes of power maps with low c -differential uniformity over finite fields of odd characteristic, for c = - 1 . Moreover, we give a necessary…”
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An Overview and Concerns Related to Quantum Cryptanalysis: Past, Present, and Future
Published in Computer (Long Beach, Calif.) (01-10-2023)“…We outline the important quantum algorithms that are instrumental toward cryptanalysis of classical ciphers. Here we attempt to touch on the relevant security…”
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Asymptotics on a class of S-unit integers
Published in Periodica mathematica Hungarica (01-03-2024)“…In this paper we consider a (non)congruence generalizing the so-called good/bad numbers introduced by Moree (Acta Arith LXXX 3:197–212, 1997) and give…”
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Transparency order for Boolean functions: analysis and construction
Published in Designs, codes, and cryptography (15-09-2019)“…The notion of transparency order, proposed by Prouff (DPA attacks and S-boxes, FSE 2005, LNCS 3557, Springer, Berlin, 2005) and then redefined by Chakraborty…”
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Affine equivalence of quartic monomial rotation symmetric Boolean functions in prime power dimension
Published in Information sciences (01-09-2015)“…In this paper we analyze and exactly compute the number of affine equivalence classes under permutations for quartic monomial rotation symmetric functions in…”
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Boomerang uniformity of a class of power maps
Published in Designs, codes, and cryptography (01-11-2021)“…We consider the boomerang uniformity of an infinite class of (locally-APN) power maps and show that their boomerang uniformity over the finite field F 2 n is 2…”
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The c-differential behavior of the inverse function under the EA-equivalence
Published in Cryptography and communications (01-03-2021)“…While the classical differential uniformity ( c = 1) is invariant under the CCZ-equivalence, the newly defined (Ellingsen et al., IEEE Trans. Inf. Theory 66…”
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14
Rotation symmetric Boolean functions—Count and cryptographic properties
Published in Discrete Applied Mathematics (28-05-2008)“…Rotation symmetric ( RotS) Boolean functions have been used as components of different cryptosystems. This class of Boolean functions are invariant under…”
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Stability of the Walsh–Hadamard spectrum of cryptographic Boolean functions with biased inputs
Published in Journal of applied mathematics & computing (01-08-2023)“…We propose a notion of stability of the Walsh–Hadamard spectrum of Boolean functions when inputs are independent and identically distributed Bernoulli random…”
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The binary Gold function and its c-boomerang connectivity table
Published in Cryptography and communications (01-11-2022)“…Here, we give a complete description of the entire c -Boomerang Connectivity Table for the Gold function over finite fields of even characteristic, by using…”
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Low c-differential uniformity for functions modified on subfields
Published in Cryptography and communications (01-11-2022)“…In this paper, we construct some piecewise defined functions, and study their c -differential uniformity. As a by-product, we improve upon several prior…”
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Vanishing Flats: A Combinatorial Viewpoint on the Planarity of Functions and Their Application
Published in IEEE transactions on information theory (01-11-2020)“…For a function <inline-formula> <tex-math notation="LaTeX">f </tex-math></inline-formula> from <inline-formula> <tex-math notation="LaTeX">\mathbb {F}_{2}^{n}…”
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Characters, Weil sums and c-differential uniformity with an application to the perturbed Gold function
Published in Cryptography and communications (01-11-2021)“…Building upon the observation that the newly defined Ellingsen, et al. ( 2020 ) concept of c -differential uniformity is not invariant under EA or…”
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On the existence and non-existence of some classes of bent–negabent functions
Published in Applicable algebra in engineering, communication and computing (2022)“…In this paper we investigate different questions related to bent–negabent functions. We first take an expository look at the state-of-the-art research in this…”
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