Shi, Chenmiao; Peng, Jie; Kan, Haibin; Zheng, Lijing On CCZ-equivalence between the Bracken-Tan-Tan function and power functions. (English) Zbl 07785005 Finite Fields Appl. 93, Article ID 102340, 19 p. (2024). MSC: 94D10 PDFBibTeX XMLCite \textit{C. Shi} et al., Finite Fields Appl. 93, Article ID 102340, 19 p. (2024; Zbl 07785005) Full Text: DOI
Yan, Haode; Zhang, Ziying; Zhou, Zhengchun A class of power mappings with low boomerang uniformity. (English) Zbl 07724824 Mesnager, Sihem (ed.) et al., Arithmetic of finite fields. 9th international workshop, WAIFI 2022, Chengdu, China, August 29 – September 2, 2022. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13638, 288-297 (2023). MSC: 11T06 PDFBibTeX XMLCite \textit{H. Yan} et al., Lect. Notes Comput. Sci. 13638, 288--297 (2023; Zbl 07724824) Full Text: DOI
Taniguchi, Hiroaki D-property for APN functions from \(\mathbb{F}_2^n\) to \(\mathbb{F}_2^{n+1}\). (English) Zbl 1526.94064 Cryptogr. Commun. 15, No. 3, 627-647 (2023). MSC: 94D10 11T71 PDFBibTeX XMLCite \textit{H. Taniguchi}, Cryptogr. Commun. 15, No. 3, 627--647 (2023; Zbl 1526.94064) Full Text: DOI
Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak Constructing differentially 4-uniform involutions over \(\mathbb{F}_{2^{2k}}\) by using Carlitz form. (English) Zbl 1481.94108 Finite Fields Appl. 78, Article ID 101957, 34 p. (2022). MSC: 94A60 06E30 11T71 PDFBibTeX XMLCite \textit{J. Jeong} et al., Finite Fields Appl. 78, Article ID 101957, 34 p. (2022; Zbl 1481.94108) Full Text: DOI
Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak New differentially 4-uniform permutations from modifications of the inverse function. (English) Zbl 1479.94195 Finite Fields Appl. 77, Article ID 101931, 28 p. (2022). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 94A60 05A05 06E30 PDFBibTeX XMLCite \textit{J. Jeong} et al., Finite Fields Appl. 77, Article ID 101931, 28 p. (2022; Zbl 1479.94195) Full Text: DOI
Davydov, Stepan A.; Kruglov, Igor A. A method of construction of differentially 4-uniform permutations over \(V_m\) for even \(m\). (English. Russian original) Zbl 07452430 Discrete Math. Appl. 31, No. 6, 383-388 (2021); translation from Diskretn. Mat. 31, No. 2, 69-76 (2019). MSC: 65-XX 05-XX PDFBibTeX XMLCite \textit{S. A. Davydov} and \textit{I. A. Kruglov}, Discrete Math. Appl. 31, No. 6, 383--388 (2021; Zbl 07452430); translation from Diskretn. Mat. 31, No. 2, 69--76 (2019) Full Text: DOI
Wang, Yan-Ping; Zhang, WeiGuo; Zha, Zhengbang Low differentially uniform permutations from the Dobbertin APN function over \(\mathbb{F}_{2^n} \). (English) Zbl 1473.94131 Discrete Math. 344, No. 12, Article ID 112616, 8 p. (2021). MSC: 94A60 05A05 PDFBibTeX XMLCite \textit{Y.-P. Wang} et al., Discrete Math. 344, No. 12, Article ID 112616, 8 p. (2021; Zbl 1473.94131) Full Text: DOI arXiv
Calderini, Marco Differentially low uniform permutations from known 4-uniform functions. (English) Zbl 1458.94220 Des. Codes Cryptography 89, No. 1, 33-52 (2021). MSC: 94A60 11T71 06E30 94D10 PDFBibTeX XMLCite \textit{M. Calderini}, Des. Codes Cryptography 89, No. 1, 33--52 (2021; Zbl 1458.94220) Full Text: DOI arXiv
Leng, Yue; Chen, Jinyang; Xie, Tao More low differential uniformity permutations over \(\mathbb{F}_{2^{2 k}}\) with \(k\) odd. (English) Zbl 1459.94125 Math. Probl. Eng. 2020, Article ID 7152657, 10 p. (2020). MSC: 94A60 11T06 11T71 14G50 PDFBibTeX XMLCite \textit{Y. Leng} et al., Math. Probl. Eng. 2020, Article ID 7152657, 10 p. (2020; Zbl 1459.94125) Full Text: DOI
Sin, Yongho; Kim, Kwangyon; Kim, Ryul; Han, Songchol Constructing new differentially 4-uniform permutations from known ones. (English) Zbl 1461.11169 Finite Fields Appl. 63, Article ID 101646, 13 p. (2020). Reviewer: Ferdinando Zullo (Caserta) MSC: 11T06 11T71 PDFBibTeX XMLCite \textit{Y. Sin} et al., Finite Fields Appl. 63, Article ID 101646, 13 p. (2020; Zbl 1461.11169) Full Text: DOI
Kavut, Selçuk; Baloğlu, Sevdenur Results on symmetric S-boxes constructed by concatenation of RSSBs. (English) Zbl 1458.94248 Cryptogr. Commun. 11, No. 4, 641-660 (2019). MSC: 94A60 PDFBibTeX XMLCite \textit{S. Kavut} and \textit{S. Baloğlu}, Cryptogr. Commun. 11, No. 4, 641--660 (2019; Zbl 1458.94248) Full Text: DOI
Fu, Shihui; Feng, Xiutao Involutory differentially 4-uniform permutations from known constructions. (English) Zbl 1403.94058 Des. Codes Cryptography 87, No. 1, 31-56 (2019). MSC: 94A60 94C10 14G50 PDFBibTeX XMLCite \textit{S. Fu} and \textit{X. Feng}, Des. Codes Cryptography 87, No. 1, 31--56 (2019; Zbl 1403.94058) Full Text: DOI
Tu, Ziran; Zeng, Xiangyong Non-monomial permutations with differential uniformity six. (English) Zbl 1443.94081 J. Syst. Sci. Complex. 31, No. 4, 1078-1089 (2018). MSC: 94A60 11T71 PDFBibTeX XMLCite \textit{Z. Tu} and \textit{X. Zeng}, J. Syst. Sci. Complex. 31, No. 4, 1078--1089 (2018; Zbl 1443.94081) Full Text: DOI
Shuai, Li; Li, Miao A method to calculate differential uniformity for permutations. (English) Zbl 1391.11157 Des. Codes Cryptography 86, No. 7, 1553-1563 (2018). MSC: 11T71 94A60 PDFBibTeX XMLCite \textit{L. Shuai} and \textit{M. Li}, Des. Codes Cryptography 86, No. 7, 1553--1563 (2018; Zbl 1391.11157) Full Text: DOI
Yan, Yang; Wang, Qiuyan Ambiguity and deficiency for differentially 4-uniform monomial permutations on \(\mathbb{F}_{2^n}\). (English) Zbl 1375.05008 Discrete Appl. Math. 235, 175-183 (2018). MSC: 05A05 PDFBibTeX XMLCite \textit{Y. Yan} and \textit{Q. Wang}, Discrete Appl. Math. 235, 175--183 (2018; Zbl 1375.05008) Full Text: DOI
Xu, Yuwei; Li, Yongqiang; Wu, Chuankun; Liu, Feng On the construction of differentially 4-uniform involutions. (English) Zbl 1409.94912 Finite Fields Appl. 47, 309-329 (2017). MSC: 94A60 11T06 PDFBibTeX XMLCite \textit{Y. Xu} et al., Finite Fields Appl. 47, 309--329 (2017; Zbl 1409.94912) Full Text: DOI
Peng, Jie; Tan, Chik How; Wang, Qichun New secondary constructions of differentially 4-uniform permutations over \(\mathbb F_{2^{2k}}\). (English) Zbl 1421.94067 Int. J. Comput. Math. 94, No. 8, 1670-1693 (2017). MSC: 94A60 11T71 68P25 PDFBibTeX XMLCite \textit{J. Peng} et al., Int. J. Comput. Math. 94, No. 8, 1670--1693 (2017; Zbl 1421.94067) Full Text: DOI
Peng, Jie; Tan, Chik How New differentially 4-uniform permutations by modifying the inverse function on subfields. (English) Zbl 1366.94526 Cryptogr. Commun. 9, No. 3, 363-378 (2017). MSC: 94A60 11T71 PDFBibTeX XMLCite \textit{J. Peng} and \textit{C. H. Tan}, Cryptogr. Commun. 9, No. 3, 363--378 (2017; Zbl 1366.94526) Full Text: DOI
Prabowo, Theo Fanuela; Tan, Chik How Implicit quadratic property of differentially 4-uniform permutations. (English) Zbl 1394.94940 Dunkelman, Orr (ed.) et al., Progress in cryptology – INDOCRYPT 2016. 17th international conference on cryptology in India, Kolkata, India, December 11–14, 2016. Proceedings. Cham: Springer (ISBN 978-3-319-49889-8/pbk; 978-3-319-49890-4/ebook). Lecture Notes in Computer Science 10095, 364-379 (2016). MSC: 94A60 PDFBibTeX XMLCite \textit{T. F. Prabowo} and \textit{C. H. Tan}, Lect. Notes Comput. Sci. 10095, 364--379 (2016; Zbl 1394.94940) Full Text: DOI
Perrin, Léo; Udovenko, Aleksei; Biryukov, Alex Cryptanalysis of a theorem: decomposing the only known solution to the big APN problem. (English) Zbl 1391.94789 Robshaw, Matthew (ed.) et al., Advances in cryptology – CRYPTO 2016. 36th annual international cryptology conference, Santa Barbara, CA, USA, August 14–18, 2016. Proceedings. Part II. Berlin: Springer (ISBN 978-3-662-53007-8/pbk; 978-3-662-53008-5/ebook). Lecture Notes in Computer Science 9815, 93-122 (2016). MSC: 94A60 PDFBibTeX XMLCite \textit{L. Perrin} et al., Lect. Notes Comput. Sci. 9815, 93--122 (2016; Zbl 1391.94789) Full Text: DOI Link
Peng, Jie; Tan, Chik How; Wang, Qichun A new family of differentially 4-uniform permutations over \(\mathbb{F}_{2^{2k}}\) for odd \(k\). (English) Zbl 1354.94044 Sci. China, Math. 59, No. 6, 1221-1234 (2016). MSC: 94A60 11T71 PDFBibTeX XMLCite \textit{J. Peng} et al., Sci. China, Math. 59, No. 6, 1221--1234 (2016; Zbl 1354.94044) Full Text: DOI
Peng, Jie; Tan, Chik How New explicit constructions of differentially 4-uniform permutations via special partitions of \(\mathbb{F}_{2^{2 k}}\). (English) Zbl 1408.94957 Finite Fields Appl. 40, 73-89 (2016). MSC: 94A60 11T71 12E20 PDFBibTeX XMLCite \textit{J. Peng} and \textit{C. H. Tan}, Finite Fields Appl. 40, 73--89 (2016; Zbl 1408.94957) Full Text: DOI
Qu, Longjiang; Tan, Yin; Li, Chao; Gong, Guang More constructions of differentially 4-uniform permutations on \(\mathbb {F}_{2^{2k}}\). (English) Zbl 1401.94239 Des. Codes Cryptography 78, No. 2, 391-408 (2016). MSC: 94B25 94A60 PDFBibTeX XMLCite \textit{L. Qu} et al., Des. Codes Cryptography 78, No. 2, 391--408 (2016; Zbl 1401.94239) Full Text: DOI arXiv
Zha, Zhengang; Hu, Lei; Sun, Siwei; Shan, Jinyong Further results on differentially 4-uniform permutations over \(\mathbb{F}_{2^{2m}}\). (English) Zbl 1380.94134 Sci. China, Math. 58, No. 7, 1577-1588 (2015). MSC: 94A60 11T71 PDFBibTeX XMLCite \textit{Z. Zha} et al., Sci. China, Math. 58, No. 7, 1577--1588 (2015; Zbl 1380.94134) Full Text: DOI arXiv
Xu, Guangkui; Cao, Xiwang Constructing new piecewise differentially 4-uniform permutations from known APN functions. (English) Zbl 1333.94050 Int. J. Found. Comput. Sci. 26, No. 5, 599-609 (2015). MSC: 94A60 11T71 PDFBibTeX XMLCite \textit{G. Xu} and \textit{X. Cao}, Int. J. Found. Comput. Sci. 26, No. 5, 599--609 (2015; Zbl 1333.94050) Full Text: DOI
Tang, Deng; Carlet, Claude; Tang, Xiaohu Differentially 4-uniform bijections by permuting the inverse function. (English) Zbl 1329.94079 Des. Codes Cryptography 77, No. 1, 117-141 (2015). MSC: 94A60 06E30 11T71 PDFBibTeX XMLCite \textit{D. Tang} et al., Des. Codes Cryptography 77, No. 1, 117--141 (2015; Zbl 1329.94079) Full Text: DOI
Zhu, Xishun; Zeng, Xiangyong; Chen, Yuan Some binomial and trinomial differentially 4-uniform permutation polynomials. (English) Zbl 1366.11115 Int. J. Found. Comput. Sci. 26, No. 4, 487-497 (2015). MSC: 11T06 11T71 94A60 PDFBibTeX XMLCite \textit{X. Zhu} et al., Int. J. Found. Comput. Sci. 26, No. 4, 487--497 (2015; Zbl 1366.11115) Full Text: DOI
Carlet, Claude More constructions of APN and differentially 4-uniform functions by concatenation. (English) Zbl 1336.11077 Sci. China, Math. 56, No. 7, 1373-1384 (2013). MSC: 11T71 06E30 11K45 94A60 PDFBibTeX XMLCite \textit{C. Carlet}, Sci. China, Math. 56, No. 7, 1373--1384 (2013; Zbl 1336.11077) Full Text: DOI