Low c-Differential Uniformity of the Swapped Inverse Function in Odd Characteristic
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866917804737822720 |
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| author | Jeong, Jaeseong Koo, Namhun Kwon, Soonhak |
| author_facet | Jeong, Jaeseong Koo, Namhun Kwon, Soonhak |
| contents | The study of Boolean functions with low $c$-differential uniformity has become recently an important topic of research. However, in odd characteristic case, there are not many results on the ($c$-)differential uniformity of functions that are not power functions. In this paper, we investigate the $c$-differential uniformity of the swapped inverse functions in odd characteristic, and show that their $c$-differential uniformities are at most 6 except for some special case. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2203_06926 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Low c-Differential Uniformity of the Swapped Inverse Function in Odd Characteristic Jeong, Jaeseong Koo, Namhun Kwon, Soonhak Information Theory Cryptography and Security The study of Boolean functions with low $c$-differential uniformity has become recently an important topic of research. However, in odd characteristic case, there are not many results on the ($c$-)differential uniformity of functions that are not power functions. In this paper, we investigate the $c$-differential uniformity of the swapped inverse functions in odd characteristic, and show that their $c$-differential uniformities are at most 6 except for some special case. |
| title | Low c-Differential Uniformity of the Swapped Inverse Function in Odd Characteristic |
| topic | Information Theory Cryptography and Security |
| url | https://arxiv.org/abs/2203.06926 |