dc.contributor.author | Davidova, Diana | |
dc.contributor.author | Kaleyski, Nikolay Stoyanov | |
dc.date.accessioned | 2022-03-28T12:29:36Z | |
dc.date.available | 2022-03-28T12:29:36Z | |
dc.date.created | 2022-01-26T11:35:56Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 0302-9743 | |
dc.identifier.uri | https://hdl.handle.net/11250/2988041 | |
dc.description.abstract | In 2008 Budaghyan, Carlet and Leander generalized a known instance of an APN function over the finite field F212 and constructed two new infinite families of APN binomials over the finite field F2n , one for n divisible by 3, and one for n divisible by 4. By relaxing conditions, the family of APN binomials for n divisible by 3 was generalized to a family of differentially 2t -uniform functions in 2012 by Bracken, Tan and Tan; in this sense, the binomials behave in the same way as the Gold functions. In this paper, we show that when relaxing conditions on the APN binomials for n divisible by 4, they also behave in the same way as the Gold function x2s+1 (with s and n not necessarily coprime). As a counterexample, we also show that a family of APN quadrinomials obtained as a generalization of a known APN instance over F210 cannot be generalized to functions with 2t -to-1 derivatives by relaxing conditions in a similar way. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Springer | en_US |
dc.title | Generalization of a class of APN binomials to Gold-like functions | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | Copyright 2021 Springer | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.doi | 10.1007/978-3-030-68869-1_11 | |
dc.identifier.cristin | 1990280 | |
dc.source.journal | Lecture Notes in Computer Science (LNCS) | en_US |
dc.source.pagenumber | 195-206 | en_US |
dc.identifier.citation | Lecture Notes in Computer Science (LNCS). 2021, 12542, 195-206 | en_US |
dc.source.volume | 12542 | en_US |