Yan, Haode; Mesnager, Sihem; Tan, Xiantong On a class of APN power functions over odd characteristic finite fields: their differential spectrum and \(c\)-differential properties. (English) Zbl 07806409 Discrete Math. 347, No. 4, Article ID 113881, 17 p. (2024). MSC: 94A60 14H52 PDFBibTeX XMLCite \textit{H. Yan} et al., Discrete Math. 347, No. 4, Article ID 113881, 17 p. (2024; Zbl 07806409) Full Text: DOI arXiv
Anbar, Nurdagül; Kalaycı, Tekgül; Meidl, Wilfried; Riera, Constanza; Stănică, Pantelimon P\(\wp\)N functions, complete mappings and quasigroup difference sets. (English) Zbl 1528.05007 J. Comb. Des. 31, No. 12, 667-690 (2023). MSC: 05B10 05A05 20N05 PDFBibTeX XMLCite \textit{N. Anbar} et al., J. Comb. Des. 31, No. 12, 667--690 (2023; Zbl 1528.05007) Full Text: DOI arXiv
Liu, Qian; Huang, Zhiwei; Xie, Jianrui; Liu, Ximeng; Zou, Jian The \(c\)-differential uniformity and boomerang uniformity of three classes of permutation polynomials over \(\mathbb{F}_{2^n}\). (English) Zbl 1525.11144 Finite Fields Appl. 89, Article ID 102212, 28 p. (2023). Reviewer: Nicolae Constantinescu (Craiova) MSC: 11T06 PDFBibTeX XMLCite \textit{Q. Liu} et al., Finite Fields Appl. 89, Article ID 102212, 28 p. (2023; Zbl 1525.11144) Full Text: DOI
Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak On non-monomial APcN permutations over finite fields of even characteristic. (English) Zbl 1516.94037 Finite Fields Appl. 89, Article ID 102196, 27 p. (2023). MSC: 94A60 94D10 PDFBibTeX XMLCite \textit{J. Jeong} et al., Finite Fields Appl. 89, Article ID 102196, 27 p. (2023; Zbl 1516.94037) Full Text: DOI arXiv
Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak Low \(c\)-differential uniformity of the swapped inverse function in odd characteristic. (English) Zbl 1520.94118 Discrete Appl. Math. 336, 195-209 (2023). MSC: 94D10 94A60 PDFBibTeX XMLCite \textit{J. Jeong} et al., Discrete Appl. Math. 336, 195--209 (2023; Zbl 1520.94118) Full Text: DOI arXiv
Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak Investigations of \(c\)-differential uniformity of permutations with Carlitz rank 3. (English) Zbl 1506.94049 Finite Fields Appl. 86, Article ID 102145, 23 p. (2023). MSC: 94A60 06E30 05A05 11T71 PDFBibTeX XMLCite \textit{J. Jeong} et al., Finite Fields Appl. 86, Article ID 102145, 23 p. (2023; Zbl 1506.94049) Full Text: DOI arXiv
Pang, Tingting; Li, Nian; Zeng, Xiangyong; Zhu, Haiying A note on the \(c\)-differential spectrum of an AP\(c\)N function. (English) Zbl 1517.94137 Adv. Math. Commun. 16, No. 4, 935-945 (2022). MSC: 94A60 11T71 14G50 PDFBibTeX XMLCite \textit{T. Pang} et al., Adv. Math. Commun. 16, No. 4, 935--945 (2022; Zbl 1517.94137) Full Text: DOI
Hasan, Sartaj Ul; Pal, Mohit; Stănică, Pantelimon The binary Gold function and its \(c\)-boomerang connectivity table. (English) Zbl 1501.11104 Cryptogr. Commun. 14, No. 6, 1257-1280 (2022). MSC: 11T06 12E20 11T24 94A60 PDFBibTeX XMLCite \textit{S. U. Hasan} et al., Cryptogr. Commun. 14, No. 6, 1257--1280 (2022; Zbl 1501.11104) Full Text: DOI arXiv
Wang, Xiaoqiang; Zheng, Dabin; Hu, Lei Several classes of PcN power functions over finite fields. (English) Zbl 1498.94084 Discrete Appl. Math. 322, 171-182 (2022). MSC: 94A60 11T71 12E20 PDFBibTeX XMLCite \textit{X. Wang} et al., Discrete Appl. Math. 322, 171--182 (2022; Zbl 1498.94084) Full Text: DOI
Yan, Haode; Zhang, Kun On the \(c\)-differential spectrum of power functions over finite fields. (English) Zbl 1506.14057 Des. Codes Cryptography 90, No. 10, 2385-2405 (2022). Reviewer: Marco Timpanella (Perugia) MSC: 14G50 11T71 94A60 PDFBibTeX XMLCite \textit{H. Yan} and \textit{K. Zhang}, Des. Codes Cryptography 90, No. 10, 2385--2405 (2022; Zbl 1506.14057) Full Text: DOI arXiv
Mesnager, Sihem; Mandal, Bimal; Msahli, Mounira Survey on recent trends towards generalized differential and boomerang uniformities. (English) Zbl 1498.94114 Cryptogr. Commun. 14, No. 4, 691-735 (2022). MSC: 94D10 11T06 94A60 PDFBibTeX XMLCite \textit{S. Mesnager} et al., Cryptogr. Commun. 14, No. 4, 691--735 (2022; Zbl 1498.94114) Full Text: DOI
Yan, Haode On \((-1)\)-differential uniformity of ternary APN power functions. (English) Zbl 1496.14022 Cryptogr. Commun. 14, No. 2, 357-369 (2022). Reviewer: Marco Timpanella (Perugia) MSC: 11T71 94A60 PDFBibTeX XMLCite \textit{H. Yan}, Cryptogr. Commun. 14, No. 2, 357--369 (2022; Zbl 1496.14022) Full Text: DOI arXiv
Wu, Yanan; Li, Nian; Zeng, Xiangyong New P\(c\)N and AP\(c\)N functions over finite fields. (English) Zbl 1483.11263 Des. Codes Cryptography 89, No. 11, 2637-2651 (2021). Reviewer: Marco Timpanella (Perugia) MSC: 11T71 94A60 11T06 PDFBibTeX XMLCite \textit{Y. Wu} et al., Des. Codes Cryptography 89, No. 11, 2637--2651 (2021; Zbl 1483.11263) Full Text: DOI arXiv
Stănică, Pantelimon Investigations on \(c\)-boomerang uniformity and perfect nonlinearity. (English) Zbl 1473.94127 Discrete Appl. Math. 304, 297-314 (2021). MSC: 94A60 11T06 94B05 PDFBibTeX XMLCite \textit{P. Stănică}, Discrete Appl. Math. 304, 297--314 (2021; Zbl 1473.94127) Full Text: DOI arXiv