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Akademický článek
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Autor:
F. Dalla Volta, Andrea Caranti
S. S. Magliveras et al. have described symmetric and public key cryptosystems based on logarithmic signatures (also known as group bases) for finite permutation groups. In this paper we show that if $G$ is a nontrivial finite group which is not cycli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db90fb421cb7d7a9b485b8f23f60df59
http://arxiv.org/abs/1811.05866
http://arxiv.org/abs/1811.05866
Autor:
Andrea Caranti, F. Dalla Volta
W.H.~Mills has determined, for a finitely generated abelian group $G$, the regular subgroups $N \cong G$ of $S(G)$, the group of permutations on the set $G$, which have the same holomorph of $G$, that is, such that $N_{S(G)}(N) = N_{S(G)}(\rho(G))$,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bef8640002c80af050de9b78da848f7b
Autor:
Andrea Caranti, F. Dalla Volta
We describe the groups that have the same holomorph as a finite perfect group. Our results are complete for centerless groups. When the center is non-trivial, some questions remain open. The peculiarities of the general case are illustrated by a coup
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0e8ba62ba681f0552ec16f0b415d5be
We define a translation based cipher over an arbitrary finite field, and study the permutation group generated by the round functions of such a cipher. We show that under certain cryptographic assumptions this group is primitive. Moreover, a minor st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dffcf88e426273ad4085fd3eb0a07964
http://hdl.handle.net/10281/46286
http://hdl.handle.net/10281/46286
Autor:
F. Dalla Volta, Norberto Gavioli
Publikováno v:
Archiv der Mathematik. 77:209-214
A complete map for a group G is a permutation \( \varphi\colon G\to G \) such that \( g\mapsto g\varphi(g) \) is still a permutation of G. A conjecture of M. Hall and L. J. Paige states that every finite group whose Sylow 2-subgroup is non-trivial an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1e88385ca6b258fd96241fbd0ea2540
https://doi.org/10.1007/pl00000483
https://doi.org/10.1007/pl00000483
Autor:
F. Dalla Volta, Norberto Gavioli
Publikováno v:
Archiv der Mathematik. 61:111-118
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::450aca4734484144405aa721c67bc214
https://doi.org/10.1007/bf01207458
https://doi.org/10.1007/bf01207458
The group generated by the round functions of a block cipher has been widely investigated. We identify a large class of block ciphers for which this group is easily guaranteed to be primitive. Our class includes the AES cipher and the SERPENT cipher.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0aa83d92d92d249bbbce4233f9d693a3
http://hdl.handle.net/10281/6062
http://hdl.handle.net/10281/6062
Autor:
F. Dalla Volta, M. C. Tamburini
Publikováno v:
Archiv der Mathematik. 56:424-432
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::031a73d708b53abef5d88598dd4db4cf
https://doi.org/10.1007/bf01200084
https://doi.org/10.1007/bf01200084