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dc.contributor.authorAragona, Riccardo
dc.contributor.authorCalderini, Marco
dc.contributor.authorCivino, Roberto
dc.contributor.authorSala, Massimiliano
dc.contributor.authorZappatore, Ilaria
dc.date.accessioned2020-04-06T13:36:27Z
dc.date.available2020-04-06T13:36:27Z
dc.date.issued2019
dc.PublishedAragona, Calderini M, Civino, Sala M, Zappatore. Wave-shaped round functions and primitive groups. Advances in Mathematics of Communications. 2019;13(1):67-88eng
dc.identifier.issn1930-5346en_US
dc.identifier.issn1930-5338en_US
dc.identifier.urihttps://hdl.handle.net/1956/21703
dc.description.abstractRound functions used as building blocks for iterated block ciphers, both in the case of Substitution-Permutation Networks (SPN) and Feistel Networks (FN), are often obtained as the composition of different layers. The bijectivity of any encryption function is guaranteed by the use of invertible layers or by the Feistel structure. In this work a new family of ciphers, called wave ciphers, is introduced. In wave ciphers, round functions feature wave functions, which are vectorial Boolean functions obtained as the composition of non-invertible layers, where the confusion layer enlarges the message which returns to its original size after the diffusion layer is applied. Efficient decryption is guaranteed by the use of wave functions in FNs. It is shown how to avoid that the group generated by the round functions acts imprimitively, a serious flaw for the cipher. The primitivity is a consequence of a more general result, which reduce the problem of proving that a given FN generates a primitive group to proving that an SPN, directly related to the given FN, generates a primitive group. Finally, a concrete instance of real-world size wave cipher is proposed as an example, and its resistance against differential and linear cryptanalyses is also established.en_US
dc.language.isoengeng
dc.publisherAIMSen_US
dc.titleWave-shaped round functions and primitive groupsen_US
dc.typePeer reviewed
dc.typeJournal article
dc.date.updated2020-01-21T10:16:00Z
dc.description.versionacceptedVersionen_US
dc.rights.holderCopyright 2019 American Institute of Mathematical Sciencesen_US
dc.identifier.doihttps://doi.org/10.3934/amc.2019004
dc.identifier.cristin1655895
dc.source.journalAdvances in Mathematics of Communications


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