Low c-differential and c-boomerang uniformity of the swapped inverse function
| dc.contributor.author | Stӑnicӑ, Pantelimon | |
| dc.contributor.department | Applied Mathematics | |
| dc.date.accessioned | 2022-03-01T00:17:51Z | |
| dc.date.available | 2022-03-01T00:17:51Z | |
| dc.date.issued | 2021 | |
| dc.description | 17 USC 105 interim-entered record; under temporary embargo. | en_US |
| dc.description.abstract | Modifying the binary inverse function in a variety of ways, like swapping two output points has been known to produce a 4-differential uniform permutation function. Recently, in [21] it was shown that this swapped version of the inverse function has boomerang uniformity exactly 10, if n ≡ 0 (mod 6), 8, if n ≡ 3 (mod 6), and 6, if n ≡ 0 (mod 3). Based upon the c-differential and c-boomerang uniformity notions we defined in [16], respectively, [30], in this paper we characterize the c-differential and c-boomerang uniformity for the (0, 1)- swapped inverse function in even characteristic, x2n−2 + x2n−1 + (x + 1)2n−1 on F2n : we show that for all c = 1, the c-differential uniformity is upper bounded by 4 and the c-boomerang uniformity by 5 with both bounds being attained for n ≥ 4 | |
| dc.description.funder | U.S. Government affiliation is unstated in article text. | en_US |
| dc.format.extent | 13 p. | |
| dc.identifier.citation | Stănică, Pantelimon. "Low c-differential and c-boomerang uniformity of the swapped inverse function." Discrete Mathematics 344.10 (2021): 112543. | |
| dc.identifier.uri | https://hdl.handle.net/10945/68903 | |
| dc.publisher | Elsevier | |
| dc.relation.ispartofseries | Faculty & Researcher Publications | |
| dc.subject.author | Finite field equations | en_US |
| dc.subject.author | c-boomerang uniformity | en_US |
| dc.subject.author | c-differential uniformity | en_US |
| dc.subject.author | Vectorial Boolean functions | en_US |
| dc.title | Low c-differential and c-boomerang uniformity of the swapped inverse function | en_US |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| relation.isSeriesOfPublication | c2c3de57-d1f4-47b1-aa53-6f1c074e4c20 | |
| relation.isSeriesOfPublication.latestForDiscovery | c2c3de57-d1f4-47b1-aa53-6f1c074e4c20 |