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Low c-Differential Uniformity of the Swapped Inverse Function in Odd Characteristic

Information Theory 2024-10-17 v1 Cryptography and Security math.IT

Abstract

The study of Boolean functions with low cc-differential uniformity has become recently an important topic of research. However, in odd characteristic case, there are not many results on the (cc-)differential uniformity of functions that are not power functions. In this paper, we investigate the cc-differential uniformity of the swapped inverse functions in odd characteristic, and show that their cc-differential uniformities are at most 6 except for some special case.

Keywords

Cite

@article{arxiv.2203.06926,
  title  = {Low c-Differential Uniformity of the Swapped Inverse Function in Odd Characteristic},
  author = {Jaeseong Jeong and Namhun Koo and Soonhak Kwon},
  journal= {arXiv preprint arXiv:2203.06926},
  year   = {2024}
}