Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Marco Calderini"'
Publikováno v:
IEEE Transactions on Information Theory
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 problem is that of the Walsh sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2c80b81399e9b9bf198484c039e7302
https://doi.org/10.1109/tit.2022.3147060
https://doi.org/10.1109/tit.2022.3147060
Publikováno v:
Finite Fields and Their Applications. 88:102190
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77548cf899503632def04694da023dba
https://doi.org/10.1016/j.ffa.2023.102190
https://doi.org/10.1016/j.ffa.2023.102190
Publikováno v:
Journal of Algebra
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 their use in cryptography as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::febf7e1e8435c0f58d77dbb3e64f5a12
https://doi.org/10.1016/j.jalgebra.2020.10.034
https://doi.org/10.1016/j.jalgebra.2020.10.034
Autor:
Marco Calderini
Publikováno v:
Designs, Codes and Cryptography
33–52
33–52
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 differential uniformity. In parti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdf104d2e005cb014c7884f1cb71c608
https://doi.org/10.1007/s10623-020-00807-x
https://doi.org/10.1007/s10623-020-00807-x
Publikováno v:
Designs, Codes and Cryptography
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 particular, we derive a general
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f31177fec183282584885a9a25ea882e
https://doi.org/10.1007/s10623-020-00803-1
https://doi.org/10.1007/s10623-020-00803-1
Autor:
Irene Villa, Marco Calderini
Publikováno v:
Cryptography and Communications
1161–1178
1161–1178
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 part of the cipher and one for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e750cf9ff247f74aad253c33f6f0786
https://doi.org/10.1007/s12095-020-00439-x
https://doi.org/10.1007/s12095-020-00439-x
Effective monitoring of microalgae growth is crucial for environmental observation, while the applications of this monitoring could also be expanded to commercial and research-focused microalgae cultivation. Currently, the distinctive optical propert
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af0dffbbb8223226fbccdc440254aec3
http://urn.fi/URN:NBN:fi:jyu-202204282447
http://urn.fi/URN:NBN:fi:jyu-202204282447
APN functions play a fundamental role in cryptography against attacks on block ciphers. Several families of quadratic APN functions have been proposed in the recent years, whose construction relies on the existence of specific families of polynomials
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a638bfe35a2794e169ef785155dbe80c
https://hdl.handle.net/11391/1534693
https://hdl.handle.net/11391/1534693
In this paper, we construct some piecewise defined functions, and study their $c$-differential uniformity. As a by-product, we improve upon several prior results. Further, we look at concatenations of functions with low differential uniformity and sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c48ee9ab50fc3196cf1d0f9815353b57
http://arxiv.org/abs/2112.02987
http://arxiv.org/abs/2112.02987
Publikováno v:
Finite Fields and Their Applications. 84:102109
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3b4c8f7b7b55538523efcb19fd9b9ee
https://doi.org/10.1016/j.ffa.2022.102109
https://doi.org/10.1016/j.ffa.2022.102109