Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Lilya Budaghyan"'
Publikováno v:
Cryptography and Communications. 14:1207-1209
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::98a425a5c3c7e89ab7e4bdd31f02a56d
https://doi.org/10.1007/s12095-022-00609-z
https://doi.org/10.1007/s12095-022-00609-z
Publikováno v:
Cryptography and Communications
We define the class of triplicate functions as a generalization of 3-to-1 functions over $$\mathbb {F}_{2^{n}}$$ F 2 n for even values of n. We investigate the properties and behavior of triplicate functions, and of 3-to-1 among triplicate functions,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb1599a10f004df6f2d7883bfe7d01be
https://doi.org/10.1007/s12095-022-00587-2
https://doi.org/10.1007/s12095-022-00587-2
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:
Arithmetic of Finite Fields ISBN: 9783031229435
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3a2a5ca55de947b1dcbcd5bd318bdf0d
https://doi.org/10.1007/978-3-031-22944-2_16
https://doi.org/10.1007/978-3-031-22944-2_16
Publikováno v:
Cryptography and Communications. 13:887-889
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55822e38c1f8c1d48b36cd8cb32a7b6b
https://doi.org/10.1007/s12095-021-00536-5
https://doi.org/10.1007/s12095-021-00536-5
Publikováno v:
IEEE Transactions on Information Theory
The binomial $B(x) = x^{3} + \beta x^{36}$ (where $\beta $ is primitive in $\mathbb {F}_{2^{2}}$ ) over $\mathbb {F}_{2^{10}}$ is the first known example of an Almost Perfect Nonlinear (APN) function that is not CCZ-equivalent to a power function, an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b0008025240c33ac6858ee32cf4cc82
https://doi.org/10.1109/tit.2020.3007513
https://doi.org/10.1109/tit.2020.3007513
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
Publikováno v:
IEEE Transactions on Information Theory
We investigate the differential properties of a vectorial Boolean function $G$ obtained by modifying an APN function $F$ . This generalizes previous constructions where a function is modified at a few points. We characterize the APN-ness of $G$ via t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69414819a388cd109a4779fb3db36978
https://doi.org/10.1109/tit.2020.2983684
https://doi.org/10.1109/tit.2020.2983684
Publikováno v:
Cryptography and Communications
319–345
319–345
We define the pAPN-spectrum (which is a measure of how close a function is to being APN) of an (n, n)-function F and investigate how its size changes when two of the outputs of a given function F are swapped. We completely characterize the behavior o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::148e0c8a5a7283cf690911d8cda843f4
https://hdl.handle.net/11250/2984646
https://hdl.handle.net/11250/2984646
Publikováno v:
Cryptography and Communications
In this paper we define a notion of partial APNness and find various characterizations and constructions of classes of functions satisfying this condition. We connect this notion to the known conjecture that APN functions modified at a point cannot r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::89213183e66853e5bf9f1cc6dcf29478
https://doi.org/10.1007/s12095-019-00372-8
https://doi.org/10.1007/s12095-019-00372-8