Abdukhalikov, Kanat; Ho, Duy Hyperbent functions from hyperovals. (English) Zbl 1527.51002 Cryptogr. Commun. 15, No. 5, 1031-1048 (2023). Reviewer: Jan Kurek (Lublin) MSC: 51E15 51E20 94D10 06E30 PDFBibTeX XMLCite \textit{K. Abdukhalikov} and \textit{D. Ho}, Cryptogr. Commun. 15, No. 5, 1031--1048 (2023; Zbl 1527.51002) Full Text: DOI
Calderini, Marco; Li, Kangquan; Villa, Irene Extending two families of bivariate APN functions. (English) Zbl 1512.94067 Finite Fields Appl. 88, Article ID 102190, 20 p. (2023). MSC: 94A60 06E30 11T06 PDFBibTeX XMLCite \textit{M. Calderini} et al., Finite Fields Appl. 88, Article ID 102190, 20 p. (2023; Zbl 1512.94067) Full Text: DOI
Wu, Yansheng; Hyun, Jong Yoon; Yue, Qin Optimal binary linear codes from posets of the disjoint union of two chains. (English) Zbl 1521.94104 Adv. Math. Commun. 16, No. 4, 1051-1058 (2022). MSC: 94B05 06A06 PDFBibTeX XMLCite \textit{Y. Wu} et al., Adv. Math. Commun. 16, No. 4, 1051--1058 (2022; Zbl 1521.94104) Full Text: DOI
Bapić, Amar; Pasalic, Enes; Zhang, Fengrong; Hodžić, Samir Constructing new superclasses of bent functions from known ones. (English) Zbl 1501.94119 Cryptogr. Commun. 14, No. 6, 1229-1256 (2022). MSC: 94D10 94A60 06E30 PDFBibTeX XMLCite \textit{A. Bapić} et al., Cryptogr. Commun. 14, No. 6, 1229--1256 (2022; Zbl 1501.94119) Full Text: DOI
Kim, Kwang Ho; Mesnager, Sihem; Choe, Jong Hyok; Lee, Dok Nam; Lee, Sengsan; Jo, Myong Chol On permutation quadrinomials with boomerang uniformity 4 and the best-known nonlinearity. (English) Zbl 1495.94171 Des. Codes Cryptography 90, No. 6, 1437-1461 (2022). MSC: 94D10 11T06 94A60 06E30 14G50 PDFBibTeX XMLCite \textit{K. H. Kim} et al., Des. Codes Cryptography 90, No. 6, 1437--1461 (2022; Zbl 1495.94171) Full Text: DOI
Jeong, Jaeseong; Koo, Namhun; Kwon, Soonhak On the boomerang uniformity of permutations of low Carlitz rank. (English) Zbl 1487.94122 Finite Fields Appl. 81, Article ID 102033, 42 p. (2022). MSC: 94A60 05A05 94D10 06E30 11T71 PDFBibTeX XMLCite \textit{J. Jeong} et al., Finite Fields Appl. 81, Article ID 102033, 42 p. (2022; Zbl 1487.94122) Full Text: DOI arXiv
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
Çeşmelioğlu, Ayça; Meidl, Wilfried; Pirsic, Isabel Vectorial bent functions and partial difference sets. (English) Zbl 1482.11161 Des. Codes Cryptography 89, No. 10, 2313-2330 (2021). Reviewer: David Joyner (Annapolis) MSC: 11T71 94D10 06E30 05B10 PDFBibTeX XMLCite \textit{A. Çeşmelioğlu} et al., Des. Codes Cryptography 89, No. 10, 2313--2330 (2021; Zbl 1482.11161) Full Text: DOI
Kaspers, Christian; Zhou, Yue The number of almost perfect nonlinear functions grows exponentially. (English) Zbl 1483.94081 J. Cryptology 34, No. 1, Paper No. 4, 37 p. (2021). MSC: 94D10 11T71 06E30 PDFBibTeX XMLCite \textit{C. Kaspers} and \textit{Y. Zhou}, J. Cryptology 34, No. 1, Paper No. 4, 37 p. (2021; Zbl 1483.94081) Full Text: DOI arXiv
Felke, Patrick The multivariate method strikes again: new power functions with low differential uniformity in odd characteristic. (English) Zbl 1469.94095 Cryptogr. Commun. 12, No. 5, 841-857 (2020). MSC: 94A60 94A55 94D10 06E30 11T23 11T71 PDFBibTeX XMLCite \textit{P. Felke}, Cryptogr. Commun. 12, No. 5, 841--857 (2020; Zbl 1469.94095) Full Text: DOI
Budaghyan, Lilya; Kaleyski, Nikolay S.; Kwon, Soonhak; Riera, Constanza; Stănică, Pantelimon Partially APN Boolean functions and classes of functions that are not APN infinitely often. (English) Zbl 1458.94218 Cryptogr. Commun. 12, No. 3, 527-545 (2020). MSC: 94A60 94D10 06B30 11T71 14G50 PDFBibTeX XMLCite \textit{L. Budaghyan} et al., Cryptogr. Commun. 12, No. 3, 527--545 (2020; Zbl 1458.94218) Full Text: DOI arXiv
Budaghyan, Lilya; Calderini, Marco; Villa, Irene On equivalence between known families of quadratic APN functions. (English) Zbl 1458.94217 Finite Fields Appl. 66, Article ID 101704, 20 p. (2020). MSC: 94A60 06E30 11T71 11T06 PDFBibTeX XMLCite \textit{L. Budaghyan} et al., Finite Fields Appl. 66, Article ID 101704, 20 p. (2020; Zbl 1458.94217) Full Text: DOI
Budaghyan, Lilya; Kaleyski, Nikolay; Riera, Constanza; Stănică, Pantelimon Partially APN functions with APN-like polynomial representations. (English) Zbl 1434.94118 Des. Codes Cryptography 88, No. 6, 1159-1177 (2020). MSC: 94C11 94A60 06B30 PDFBibTeX XMLCite \textit{L. Budaghyan} et al., Des. Codes Cryptography 88, No. 6, 1159--1177 (2020; Zbl 1434.94118) Full Text: DOI Link
Taniguchi, Hiroaki On some quadratic APN functions. (English) Zbl 1419.11138 Des. Codes Cryptography 87, No. 9, 1973-1983 (2019). MSC: 11T71 06E30 12K10 PDFBibTeX XMLCite \textit{H. Taniguchi}, Des. Codes Cryptography 87, No. 9, 1973--1983 (2019; Zbl 1419.11138) Full Text: DOI
Huang, Dongmei; Tang, Chunming; Qi, Yanfeng; Xu, Maozhi New quadratic bent functions in polynomial forms with coefficients in extension fields. (English) Zbl 1435.11141 Appl. Algebra Eng. Commun. Comput. 30, No. 4, 333-347 (2019). MSC: 11T71 11T06 06E75 94A60 PDFBibTeX XMLCite \textit{D. Huang} et al., Appl. Algebra Eng. Commun. Comput. 30, No. 4, 333--347 (2019; Zbl 1435.11141) Full Text: DOI
Mandal, Bimal; Stănică, Pantelimon; Gangopadhyay, Sugata New classes of \(p\)-ary bent functions. (English) Zbl 1420.94124 Cryptogr. Commun. 11, No. 1, 77-92 (2019). MSC: 94C10 11T71 06E30 PDFBibTeX XMLCite \textit{B. Mandal} et al., Cryptogr. Commun. 11, No. 1, 77--92 (2019; Zbl 1420.94124) Full Text: DOI
Kutsenko, A. V. The Hamming distance spectrum between self-dual Maiorana-McFarland bent functions. (Russian, English) Zbl 1413.94045 Diskretn. Anal. Issled. Oper. 25, No. 1, 98-119 (2018); translation in J. Appl. Ind. Math. 12, No. 1, 112-125 (2018). MSC: 94A60 94C10 06E30 PDFBibTeX XMLCite \textit{A. V. Kutsenko}, Diskretn. Anal. Issled. Oper. 25, No. 1, 98--119 (2018; Zbl 1413.94045); translation in J. Appl. Ind. Math. 12, No. 1, 112--125 (2018) Full Text: DOI
Meidl, Wilfried; Pirsic, Ísabel On the normality of \(p\)-ary bent functions. (English) Zbl 1419.94095 Cryptogr. Commun. 10, No. 6, 1037-1049 (2018). MSC: 94D10 05B10 11T71 06E30 PDFBibTeX XMLCite \textit{W. Meidl} and \textit{Í. Pirsic}, Cryptogr. Commun. 10, No. 6, 1037--1049 (2018; Zbl 1419.94095) Full Text: DOI arXiv
Olmez, Oktay A link between combinatorial designs and three-weight linear codes. (English) Zbl 1388.05024 Des. Codes Cryptography 86, No. 4, 817-833 (2018). Reviewer: Zlatko Varbanov (Veliko Tarnovo) MSC: 05B05 05B10 94B05 06E30 11T71 PDFBibTeX XMLCite \textit{O. Olmez}, Des. Codes Cryptography 86, No. 4, 817--833 (2018; Zbl 1388.05024) Full Text: DOI
Yi, Zongxiang; Lin, Zhiqiang; Ke, Lishan A generic method to construct zero-difference balanced functions. (English) Zbl 1417.94118 Cryptogr. Commun. 10, No. 4, 591-609 (2018). MSC: 94B25 06E30 05B10 PDFBibTeX XMLCite \textit{Z. Yi} et al., Cryptogr. Commun. 10, No. 4, 591--609 (2018; Zbl 1417.94118) Full Text: DOI
Sok, Lin; Shi, MinJia; Solé, Patrick Classification and construction of quaternary self-dual bent functions. (English) Zbl 1412.94257 Cryptogr. Commun. 10, No. 2, 277-289 (2018). MSC: 94C10 06E30 PDFBibTeX XMLCite \textit{L. Sok} et al., Cryptogr. Commun. 10, No. 2, 277--289 (2018; Zbl 1412.94257) Full Text: DOI
Kolomeec, Nikolay The graph of minimal distances of bent functions and its properties. (English) Zbl 1417.94138 Des. Codes Cryptography 85, No. 3, 395-410 (2017). MSC: 94D10 06E30 PDFBibTeX XMLCite \textit{N. Kolomeec}, Des. Codes Cryptography 85, No. 3, 395--410 (2017; Zbl 1417.94138) Full Text: DOI
Xu, Guangkui; Cao, Xiwang; Xu, Shanding Several classes of Boolean functions with few Walsh transform values. (English) Zbl 1427.94084 Appl. Algebra Eng. Commun. Comput. 28, No. 2, 155-176 (2017). MSC: 94D10 06E30 PDFBibTeX XMLCite \textit{G. Xu} et al., Appl. Algebra Eng. Commun. Comput. 28, No. 2, 155--176 (2017; Zbl 1427.94084) Full Text: DOI arXiv
Tang, Chunming; Qi, Yanfeng A class of hyper-bent functions and Kloosterman sums. (English) Zbl 1358.94079 Cryptogr. Commun. 9, No. 5, 647-664 (2017). MSC: 94A60 94C10 11T71 11L05 06E30 PDFBibTeX XMLCite \textit{C. Tang} and \textit{Y. Qi}, Cryptogr. Commun. 9, No. 5, 647--664 (2017; Zbl 1358.94079) Full Text: DOI
Kavut, Selçuk; Maitra, Subhamoy; Özbudak, Ferruh A super-set of Patterson-Wiedemann functions – upper bounds and possible nonlinearities. (English) Zbl 1409.94883 Duquesne, Sylvain (ed.) et al., Arithmetic of finite fields. 6th international workshop, WAIFI 2016, Ghent, Belgium, July 13–15, 2016. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10064, 227-242 (2016). MSC: 94A60 11T71 06E30 94B05 94B75 PDFBibTeX XMLCite \textit{S. Kavut} et al., Lect. Notes Comput. Sci. 10064, 227--242 (2016; Zbl 1409.94883) Full Text: DOI
Lu, Yi; Desmedt, Yvo Walsh transforms and cryptographic applications in bias computing. (English) Zbl 1382.94136 Cryptogr. Commun. 8, No. 3, 435-453 (2016). MSC: 94A60 62E15 68Q25 06E30 PDFBibTeX XMLCite \textit{Y. Lu} and \textit{Y. Desmedt}, Cryptogr. Commun. 8, No. 3, 435--453 (2016; Zbl 1382.94136) Full Text: DOI
Tan, Yin; Gong, Guang; Zhu, Bo Enhanced criteria on differential uniformity and nonlinearity of cryptographically significant functions. (English) Zbl 1338.94084 Cryptogr. Commun. 8, No. 2, 291-311 (2016). MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{Y. Tan} et al., Cryptogr. Commun. 8, No. 2, 291--311 (2016; Zbl 1338.94084) Full Text: DOI
Mesnager, Sihem Further constructions of infinite families of bent functions from new permutations and their duals. (English) Zbl 1338.94119 Cryptogr. Commun. 8, No. 2, 229-246 (2016). MSC: 94C10 06E30 PDFBibTeX XMLCite \textit{S. Mesnager}, Cryptogr. Commun. 8, No. 2, 229--246 (2016; Zbl 1338.94119) Full Text: DOI
Carlet, Claude; Mesnager, Sihem Four decades of research on bent functions. (English) Zbl 1378.94028 Des. Codes Cryptography 78, No. 1, 5-50 (2016). Reviewer: Wilfried Meidl (Linz) MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{C. Carlet} and \textit{S. Mesnager}, Des. Codes Cryptography 78, No. 1, 5--50 (2016; Zbl 1378.94028) Full Text: DOI
Hyun, Jong Yoon; Lee, Yoonjin Explicit criterions for \(p\)-ary functions being non-bent. (English) Zbl 1323.94187 J. Math. Anal. Appl. 433, No. 2, 1177-1189 (2016). MSC: 94C10 94A60 11T71 06E30 PDFBibTeX XMLCite \textit{J. Y. Hyun} and \textit{Y. Lee}, J. Math. Anal. Appl. 433, No. 2, 1177--1189 (2016; Zbl 1323.94187) Full Text: DOI
Sun, Zhiqiang; Hu, Lei Boolean functions with four-valued Walsh spectra. (English) Zbl 1336.94071 J. Syst. Sci. Complex. 28, No. 3, 743-754 (2015). MSC: 94A60 94C10 06E30 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{L. Hu}, J. Syst. Sci. Complex. 28, No. 3, 743--754 (2015; Zbl 1336.94071) Full Text: DOI
Li, Jiao; Carlet, Claude; Zeng, Xiangyong; Li, Chunlei; Hu, Lei; Shan, Jinyong Two constructions of balanced Boolean functions with optimal algebraic immunity, high nonlinearity and good behavior against fast algebraic attacks. (English) Zbl 1360.94316 Des. Codes Cryptography 76, No. 2, 279-305 (2015). MSC: 94A60 94C10 06E30 PDFBibTeX XMLCite \textit{J. Li} et al., Des. Codes Cryptography 76, No. 2, 279--305 (2015; Zbl 1360.94316) Full Text: DOI
Ahmed Khan, Mansoor; Özbudak, Ferruh Hybrid classes of balanced Boolean functions with good cryptographic properties. (English) Zbl 1341.94014 Inf. Sci. 273, 319-328 (2014). MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{M. Ahmed Khan} and \textit{F. Özbudak}, Inf. Sci. 273, 319--328 (2014; Zbl 1341.94014) Full Text: DOI
Çeşmelioğlu, Ayça; Meidl, Wilfried; Pott, Alexander Generalized Maiorana-McFarland class and normality of \(p\)-ary bent functions. (English) Zbl 1305.11112 Finite Fields Appl. 24, 105-117 (2013). MSC: 11T71 11T06 06E30 PDFBibTeX XMLCite \textit{A. Çeşmelioğlu} et al., Finite Fields Appl. 24, 105--117 (2013; Zbl 1305.11112) Full Text: DOI
Zheng, Dabin; Yu, Long; Hu, Lei On a class of binomial bent functions over the finite fields of odd characteristic. (English) Zbl 1335.94087 Appl. Algebra Eng. Commun. Comput. 24, No. 6, 461-475 (2013). MSC: 94A60 11T71 06E30 PDFBibTeX XMLCite \textit{D. Zheng} et al., Appl. Algebra Eng. Commun. Comput. 24, No. 6, 461--475 (2013; Zbl 1335.94087) Full Text: DOI
Çeşmelioğlu, Ayça; Meidl, Wilfried A construction of bent functions from plateaued functions. (English) Zbl 1286.06021 Des. Codes Cryptography 66, No. 1-3, 231-242 (2013). Reviewer: Sergiu Rudeanu (Bucureşti) MSC: 06E30 05E30 94A60 PDFBibTeX XMLCite \textit{A. Çeşmelioğlu} and \textit{W. Meidl}, Des. Codes Cryptography 66, No. 1--3, 231--242 (2013; Zbl 1286.06021) Full Text: DOI Link
Pasalic, Enes A design of Boolean functions resistant to (fast) algebraic cryptanalysis with efficient implementation. (English) Zbl 1235.94050 Cryptogr. Commun. 4, No. 1, 25-45 (2012). MSC: 94A60 94C10 06E30 PDFBibTeX XMLCite \textit{E. Pasalic}, Cryptogr. Commun. 4, No. 1, 25--45 (2012; Zbl 1235.94050) Full Text: DOI
Çeşmelioğlu, Ayça; McGuire, Gary; Meidl, Wilfried A construction of weakly and non-weakly regular bent functions. (English) Zbl 1258.94034 J. Comb. Theory, Ser. A 119, No. 2, 420-429 (2012). Reviewer: Sergiu Rudeanu (Bucureşti) MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{A. Çeşmelioğlu} et al., J. Comb. Theory, Ser. A 119, No. 2, 420--429 (2012; Zbl 1258.94034) Full Text: DOI arXiv
Li, Yongqiang; Wang, Mingsheng Permutation polynomials EA-equivalent to the inverse function over \(\mathrm{GF}(2^n)\). (English) Zbl 1251.94032 Cryptogr. Commun. 3, No. 3, 175-186 (2011). MSC: 94A60 06E30 11T06 PDFBibTeX XMLCite \textit{Y. Li} and \textit{M. Wang}, Cryptogr. Commun. 3, No. 3, 175--186 (2011; Zbl 1251.94032) Full Text: DOI
Carlet, Claude; Mesnager, Sihem On Dillon’s class \(H\) of bent functions, Niho bent functions and o-polynomials. (English) Zbl 1236.94052 J. Comb. Theory, Ser. A 118, No. 8, 2392-2410 (2011). MSC: 94D10 06E30 11T71 PDFBibTeX XMLCite \textit{C. Carlet} and \textit{S. Mesnager}, J. Comb. Theory, Ser. A 118, No. 8, 2392--2410 (2011; Zbl 1236.94052) Full Text: DOI
Budaghyan, Lilya; Carlet, Claude CCZ-equivalence of bent vectorial functions and related constructions. (English) Zbl 1215.94035 Des. Codes Cryptography 59, No. 1-3, 69-87 (2011). MSC: 94A60 06E30 11T71 PDFBibTeX XMLCite \textit{L. Budaghyan} and \textit{C. Carlet}, Des. Codes Cryptography 59, No. 1--3, 69--87 (2011; Zbl 1215.94035) Full Text: DOI
Mesnager, Sihem A new class of bent and hyper-bent Boolean functions in polynomial forms. (English) Zbl 1231.94053 Des. Codes Cryptography 59, No. 1-3, 265-279 (2011). Reviewer: G. Eigenthaler (Wien) MSC: 94C10 06E30 11T71 94A60 11L05 PDFBibTeX XMLCite \textit{S. Mesnager}, Des. Codes Cryptography 59, No. 1--3, 265--279 (2011; Zbl 1231.94053) Full Text: DOI
He, Yefeng; Ma, Wenping Construction of semi-bent functions with high algebraic degrees. (English) Zbl 1240.94145 Wuhan Univ. J. Nat. Sci. 15, No. 6, 476-478 (2010). MSC: 94C10 06E30 11L05 PDFBibTeX XMLCite \textit{Y. He} and \textit{W. Ma}, Wuhan Univ. J. Nat. Sci. 15, No. 6, 476--478 (2010; Zbl 1240.94145) Full Text: DOI
Carlet, Claude; Zeng, Xiangyong; Li, Chunlei; Hu, Lei Further properties of several classes of Boolean functions with optimum algebraic immunity. (English) Zbl 1174.94012 Des. Codes Cryptography 52, No. 3, 303-338 (2009). MSC: 94D10 94A60 06E30 PDFBibTeX XMLCite \textit{C. Carlet} et al., Des. Codes Cryptography 52, No. 3, 303--338 (2009; Zbl 1174.94012) Full Text: DOI
Dobbertin, Hans; Leander, Gregor Bent functions embedded into the recursive framework of \(\mathbb{Z}\)-bent functions. (English) Zbl 1179.94061 Des. Codes Cryptography 49, No. 1-3, 3-22 (2008). MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{H. Dobbertin} and \textit{G. Leander}, Des. Codes Cryptography 49, No. 1--3, 3--22 (2008; Zbl 1179.94061) Full Text: DOI
Li, Shenghua; Hu, Lei; Zeng, Xiangyong Constructions of \(p\)-ary quadratic bent functions. (English) Zbl 1134.06012 Acta Appl. Math. 100, No. 3, 227-245 (2008). Reviewer: Steven T. Dougherty (Scranton) MSC: 06E30 94B27 94A60 PDFBibTeX XMLCite \textit{S. Li} et al., Acta Appl. Math. 100, No. 3, 227--245 (2008; Zbl 1134.06012) Full Text: DOI
Helleseth, Tor; Kholosha, Alexander On the dual of monomial quadratic \(p\)-ary bent functions. (English) Zbl 1154.94395 Golomb, Solomon W. (ed.) et al., Sequences, subsequences, and consequences. International workshop, SSC 2007, Los Angeles, CA, USA, May 31–June 2, 2007. Revised invited papers. Berlin: Springer (ISBN 978-3-540-77403-7/pbk). Lecture Notes in Computer Science 4893, 50-61 (2007). MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{T. Helleseth} and \textit{A. Kholosha}, Lect. Notes Comput. Sci. 4893, 50--61 (2007; Zbl 1154.94395) Full Text: DOI
Langevin, Philippe; Véron, Pascal On the non-linearity of power functions. (English) Zbl 1136.06300 Des. Codes Cryptography 37, No. 1, 31-43 (2005). MSC: 94A60 11T06 06E30 PDFBibTeX XMLCite \textit{P. Langevin} and \textit{P. Véron}, Des. Codes Cryptography 37, No. 1, 31--43 (2005; Zbl 1136.06300) Full Text: DOI HAL
Mitton, Michel Theoretical upper bounds on the covering radii of Boolean functions. (English) Zbl 1071.94033 J. Discrete Math. Sci. Cryptography 7, No. 2, 237-248 (2004). MSC: 94B75 94B65 06E30 PDFBibTeX XMLCite \textit{M. Mitton}, J. Discrete Math. Sci. Cryptography 7, No. 2, 237--248 (2004; Zbl 1071.94033) Full Text: DOI
Charpin, Pascale Cyclic codes with few weights and Niho exponents. (English) Zbl 1072.94016 J. Comb. Theory, Ser. A 108, No. 2, 247-259 (2004). Reviewer: Ioan Tomescu (Bucureşti) MSC: 94B15 06E30 PDFBibTeX XMLCite \textit{P. Charpin}, J. Comb. Theory, Ser. A 108, No. 2, 247--259 (2004; Zbl 1072.94016) Full Text: DOI