Search Results - "Stănică, Pantelimon"

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  1. 1

    Cryptographic Boolean Functions and Applications by Cusick, Thomas W, Stanica, Pantelimon

    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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    eBook
  2. 2

    Investigations on c-boomerang uniformity and perfect nonlinearity by Stănică, Pantelimon

    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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    Journal Article
  3. 3

    Low c-differential and c-boomerang uniformity of the swapped inverse function by Stănică, Pantelimon

    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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    Journal Article
  4. 4

    Using double Weil sums in finding the c-boomerang connectivity table for monomial functions on finite fields by Stănică, Pantelimon

    “…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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    Journal Article
  5. 5

    SIERPIŃSKI AND CARMICHAEL NUMBERS by BANKS, WILLIAM, FINCH, CARRIE, LUCA, FLORIAN, POMERANCE, CARL, STĂNICĂ, PANTELIMON

    “…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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    Journal Article
  6. 6

    FACTORIZATIONS AND REPRESENTATIONS OF BINARY POLYNOMIAL RECURRENCES BY MATRIX METHODS by KILIÇ, EMRAH, STĂNICĂ, PANTELIMON

    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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    Journal Article
  7. 7

    On the c-differential uniformity of certain maps over finite fields by Hasan, Sartaj Ul, Pal, Mohit, Riera, Constanza,  Stănică, Pantelimon

    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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    Journal Article
  8. 8

    An Overview and Concerns Related to Quantum Cryptanalysis: Past, Present, and Future by Maitra, Subhamoy, Stanica, Pantelimon, Drusinsky, Doron

    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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    Journal Article
  9. 9

    Asymptotics on a class of S-unit integers by Luca, Florian, Stănică, Pantelimon

    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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    Journal Article
  10. 10

    Transparency order for Boolean functions: analysis and construction by Wang, Qichun, Stănică, Pantelimon

    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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    Journal Article
  11. 11

    Affine equivalence of quartic monomial rotation symmetric Boolean functions in prime power dimension by Stanica, Pantelimon

    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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    Journal Article
  12. 12

    Boomerang uniformity of a class of power maps by Hasan, Sartaj Ul, Pal, Mohit, Stănică, Pantelimon

    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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    Journal Article
  13. 13

    The c-differential behavior of the inverse function under the EA-equivalence by Stănică, Pantelimon, Geary, Aaron

    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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    Journal Article
  14. 14

    Rotation symmetric Boolean functions—Count and cryptographic properties by Stănică, Pantelimon, Maitra, Subhamoy

    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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    Journal Article
  15. 15

    Stability of the Walsh–Hadamard spectrum of cryptographic Boolean functions with biased inputs by Gangopadhyay, Aditi Kar, Kumar, Vikas, Stănică, Pantelimon, Gangopadhyay, Sugata

    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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    Journal Article
  16. 16

    The binary Gold function and its c-boomerang connectivity table by Hasan, Sartaj Ul, Pal, Mohit, Stănică, Pantelimon

    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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    Journal Article
  17. 17

    Low c-differential uniformity for functions modified on subfields by Bartoli, Daniele, Calderini, Marco, Riera, Constanza, Stănică, Pantelimon

    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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    Journal Article
  18. 18

    Vanishing Flats: A Combinatorial Viewpoint on the Planarity of Functions and Their Application by Li, Shuxing, Meidl, Wilfried, Polujan, Alexandr, Pott, Alexander, Riera, Constanza, Stanica, Pantelimon

    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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    Journal Article
  19. 19

    Characters, Weil sums and c-differential uniformity with an application to the perturbed Gold function by Stănică, Pantelimon, Riera, Constanza, Tkachenko, Anton

    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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    Journal Article
  20. 20

    On the existence and non-existence of some classes of bent–negabent functions by Mandal, Bimal, Maitra, Subhamoy, Stănică, Pantelimon

    “…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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    Journal Article