Chen, Ruikai; Mesnager, Sihem Characterizations of a class of planar functions over finite fields. (English) Zbl 07814056 Finite Fields Appl. 95, Article ID 102382, 23 p. (2024). MSC: 11T06 12E10 51E15 PDFBibTeX XMLCite \textit{R. Chen} and \textit{S. Mesnager}, Finite Fields Appl. 95, Article ID 102382, 23 p. (2024; Zbl 07814056) Full Text: DOI arXiv
Yuan, Pingzhi Compositional inverses of AGW-PPs – dedicated to Professor Cunsheng Ding for his 60th birthday. (English) Zbl 1526.11063 Adv. Math. Commun. 16, No. 4, 1185-1195 (2022). Reviewer: Ferdinando Zullo (Caserta) MSC: 11T06 12E10 PDFBibTeX XMLCite \textit{P. Yuan}, Adv. Math. Commun. 16, No. 4, 1185--1195 (2022; Zbl 1526.11063) Full Text: DOI
Ding, Cunsheng; Tang, Chunming Infinite families of 3-designs from o-polynomials. (English) Zbl 1479.05033 Adv. Math. Commun. 15, No. 4, 557-573 (2021). MSC: 05B05 12E10 51E21 PDFBibTeX XMLCite \textit{C. Ding} and \textit{C. Tang}, Adv. Math. Commun. 15, No. 4, 557--573 (2021; Zbl 1479.05033) Full Text: DOI
Vadiraja Bhatta, G. R.; Shankar, B. R.; Mishra, Vishnu Narayan; Poojary, Prasanna Sequences of numbers via permutation polynomials over some finite rings. (English) Zbl 1495.11132 Proyecciones 39, No. 5, 1295-1313 (2020). MSC: 11T06 94A60 05A05 12E20 PDFBibTeX XMLCite \textit{G. R. Vadiraja Bhatta} et al., Proyecciones 39, No. 5, 1295--1313 (2020; Zbl 1495.11132) Full Text: DOI
Bartoli, Daniele; Timpanella, Marco On a generalization of planar functions. (English) Zbl 1486.12002 J. Algebr. Comb. 52, No. 2, 187-213 (2020). MSC: 12E20 51E15 PDFBibTeX XMLCite \textit{D. Bartoli} and \textit{M. Timpanella}, J. Algebr. Comb. 52, No. 2, 187--213 (2020; Zbl 1486.12002) Full Text: DOI
Wang, Yan-Ping; Wang, Qiang; Zhang, Wei-Guo Boomerang uniformity of normalized permutation polynomials of low degree. (English) Zbl 1446.11208 Appl. Algebra Eng. Commun. Comput. 31, No. 3-4, 307-322 (2020). MSC: 11T06 11T71 12-08 PDFBibTeX XMLCite \textit{Y.-P. Wang} et al., Appl. Algebra Eng. Commun. Comput. 31, No. 3--4, 307--322 (2020; Zbl 1446.11208) Full Text: DOI
Bartoli, Daniele; Timpanella, Marco A family of planar binomials in characteristic 2. (English) Zbl 1452.11142 Finite Fields Appl. 63, Article ID 101651, 12 p. (2020). MSC: 11T06 12E10 11G20 PDFBibTeX XMLCite \textit{D. Bartoli} and \textit{M. Timpanella}, Finite Fields Appl. 63, Article ID 101651, 12 p. (2020; Zbl 1452.11142) Full Text: DOI
Cesarz, Patrick G.; Coulter, Robert S. Image sets with regularity of differences. (English) Zbl 1439.05039 Cryptogr. Commun. 11, No. 6, 1307-1337 (2019). MSC: 05B10 12E10 11T23 68U10 PDFBibTeX XMLCite \textit{P. G. Cesarz} and \textit{R. S. Coulter}, Cryptogr. Commun. 11, No. 6, 1307--1337 (2019; Zbl 1439.05039) Full Text: DOI
Li, Nian; Zeng, Xiangyong A survey on the applications of Niho exponents. (English) Zbl 1412.12001 Cryptogr. Commun. 11, No. 3, 509-548 (2019). MSC: 12E20 94A55 94A60 94B05 11T06 PDFBibTeX XMLCite \textit{N. Li} and \textit{X. Zeng}, Cryptogr. Commun. 11, No. 3, 509--548 (2019; Zbl 1412.12001) Full Text: DOI
Bachoc, Christine; Serra, Oriol; Zémor, Gilles Revisiting Kneser’s theorem for field extensions. (English) Zbl 1413.11115 Combinatorica 38, No. 4, 759-777 (2018). Reviewer: Mihály Szalay (Budapest) MSC: 11P70 11T99 12F99 PDFBibTeX XMLCite \textit{C. Bachoc} et al., Combinatorica 38, No. 4, 759--777 (2018; Zbl 1413.11115) Full Text: DOI arXiv
Bachoc, Christine; Serra, Oriol; Zémor, Gilles An analogue of Vosper’s theorem for extension fields. (English) Zbl 1405.11134 Math. Proc. Camb. Philos. Soc. 163, No. 3, 423-452 (2017). MSC: 11P70 05E30 11B30 12F10 PDFBibTeX XMLCite \textit{C. Bachoc} et al., Math. Proc. Camb. Philos. Soc. 163, No. 3, 423--452 (2017; Zbl 1405.11134) Full Text: DOI arXiv
Trombetti, Rocco; Zhou, Yue On the 2-ranks of a class of unitals. (English) Zbl 1339.51003 Finite Fields Appl. 40, 90-109 (2016). MSC: 51A45 12K10 51A35 11L05 PDFBibTeX XMLCite \textit{R. Trombetti} and \textit{Y. Zhou}, Finite Fields Appl. 40, 90--109 (2016; Zbl 1339.51003) Full Text: DOI arXiv
Pott, Alexander Almost perfect and planar functions. (English) Zbl 1351.51004 Des. Codes Cryptography 78, No. 1, 141-195 (2016). Reviewer: Julian Abel (Sydney) MSC: 12E20 11T71 51A25 05B05 05B10 05B25 51A35 51A40 94A60 94B05 PDFBibTeX XMLCite \textit{A. Pott}, Des. Codes Cryptography 78, No. 1, 141--195 (2016; Zbl 1351.51004) Full Text: DOI
Marcos, José E. Some permutation polynomials over finite fields. (English) Zbl 1400.11157 Appl. Algebra Eng. Commun. Comput. 26, No. 5, 465-474 (2015). MSC: 11T06 12E10 PDFBibTeX XMLCite \textit{J. E. Marcos}, Appl. Algebra Eng. Commun. Comput. 26, No. 5, 465--474 (2015; Zbl 1400.11157) Full Text: DOI
Feng, Tao On homogeneous planar functions. (English) Zbl 1320.11117 Finite Fields Appl. 31, 121-136 (2015). MSC: 11T06 11T71 12E10 PDFBibTeX XMLCite \textit{T. Feng}, Finite Fields Appl. 31, 121--136 (2015; Zbl 1320.11117) Full Text: DOI arXiv
Lecouvey, Cédric Plünnecke and Kneser type theorems for dimension estimates. (English) Zbl 1324.05196 Combinatorica 34, No. 3, 331-358 (2014). MSC: 05E15 12E15 11P70 PDFBibTeX XMLCite \textit{C. Lecouvey}, Combinatorica 34, No. 3, 331--358 (2014; Zbl 1324.05196) Full Text: DOI arXiv
Combarro, Elías F.; Rúa, I. F.; Ranilla, J. Finite semifields with \(7^4\) elements. (English) Zbl 1271.12005 Int. J. Comput. Math. 89, No. 13-14, 1865-1878 (2012). Reviewer: Hubert Kiechle (Hamburg) MSC: 12K10 17D99 51A35 PDFBibTeX XMLCite \textit{E. F. Combarro} et al., Int. J. Comput. Math. 89, No. 13--14, 1865--1878 (2012; Zbl 1271.12005) Full Text: DOI
Weng, Guobiao; Zeng, Xiangyong Further results on planar DO functions and commutative semifields. (English) Zbl 1272.12021 Des. Codes Cryptography 63, No. 3, 413-423 (2012). MSC: 12K10 05B10 11T06 PDFBibTeX XMLCite \textit{G. Weng} and \textit{X. Zeng}, Des. Codes Cryptography 63, No. 3, 413--423 (2012; Zbl 1272.12021) Full Text: DOI
Cao, Xiwang; Hu, Lei New methods for generating permutation polynomials over finite fields. (English) Zbl 1245.11114 Finite Fields Appl. 17, No. 6, 493-503 (2011). MSC: 11T06 12E20 PDFBibTeX XMLCite \textit{X. Cao} and \textit{L. Hu}, Finite Fields Appl. 17, No. 6, 493--503 (2011; Zbl 1245.11114) Full Text: DOI
Dumas, Jean-Guillaume; Fousse, Laurent; Salvy, Bruno Simultaneous modular reduction and Kronecker substitution for small finite fields. (English) Zbl 1217.65074 J. Symb. Comput. 46, No. 7, 823-840 (2011). MSC: 65F30 11T06 12Y05 PDFBibTeX XMLCite \textit{J.-G. Dumas} et al., J. Symb. Comput. 46, No. 7, 823--840 (2011; Zbl 1217.65074) Full Text: DOI arXiv
Sun, Guanghong; Wu, Chuankun Some functions with low differential uniformity. (English) Zbl 1240.12002 Wuhan Univ. J. Nat. Sci. 15, No. 6, 479-487 (2010). MSC: 12E20 94A60 PDFBibTeX XMLCite \textit{G. Sun} and \textit{C. Wu}, Wuhan Univ. J. Nat. Sci. 15, No. 6, 479--487 (2010; Zbl 1240.12002) Full Text: DOI
Eliahou, Shalom; Lecouvey, Cédric Matching subspaces in a field extension. (English) Zbl 1263.16025 J. Algebra 324, No. 12, 3420-3430 (2010). MSC: 16K40 05D15 12E15 11B75 15A04 PDFBibTeX XMLCite \textit{S. Eliahou} and \textit{C. Lecouvey}, J. Algebra 324, No. 12, 3420--3430 (2010; Zbl 1263.16025) Full Text: DOI arXiv
Zha, Zhengbang; Wang, Xueli Power functions with low uniformity on odd characteristic finite fields. (English) Zbl 1246.12007 Sci. China, Math. 53, No. 8, 1931-1940 (2010). MSC: 12E20 94A55 11T71 PDFBibTeX XMLCite \textit{Z. Zha} and \textit{X. Wang}, Sci. China, Math. 53, No. 8, 1931--1940 (2010; Zbl 1246.12007) Full Text: DOI
Yuan, Pingzhi More explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\). (English) Zbl 1188.11064 Finite Fields Appl. 16, No. 2, 88-95 (2010). Reviewer: Pieter Moree (Bonn) MSC: 11T06 12E10 PDFBibTeX XMLCite \textit{P. Yuan}, Finite Fields Appl. 16, No. 2, 88--95 (2010; Zbl 1188.11064) Full Text: DOI
Charpin, Pascale; Kyureghyan, Gohar When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)? (English) Zbl 1229.11153 Finite Fields Appl. 15, No. 5, 615-632 (2009). Reviewer: Richard A. Mollin (Calgary) MSC: 11T06 12E20 PDFBibTeX XMLCite \textit{P. Charpin} and \textit{G. Kyureghyan}, Finite Fields Appl. 15, No. 5, 615--632 (2009; Zbl 1229.11153) Full Text: DOI
Zha, Zhengbang; Wang, Xueli New families of perfect nonlinear polynomial functions. (English) Zbl 1209.11107 J. Algebra 322, No. 11, 3912-3918 (2009). Reviewer: Nathan Kaplan (Cambridge) MSC: 11T71 11T06 12E20 94A55 PDFBibTeX XMLCite \textit{Z. Zha} and \textit{X. Wang}, J. Algebra 322, No. 11, 3912--3918 (2009; Zbl 1209.11107) Full Text: DOI
Ding, Cunsheng; Xiang, Qing; Yuan, Jin; Yuan, Pingzhi Explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\). (English) Zbl 1215.11113 Sci. China, Ser. A 52, No. 4, 639-647 (2009). MSC: 11T06 12E10 PDFBibTeX XMLCite \textit{C. Ding} et al., Sci. China, Ser. A 52, No. 4, 639--647 (2009; Zbl 1215.11113) Full Text: DOI
Eliahou, Shalom; Kervaire, Michel; Lecouvey, Cédric On the product of vector spaces in a commutative field extension. (English) Zbl 1218.12002 J. Number Theory 129, No. 2, 339-348 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 12F99 11P70 PDFBibTeX XMLCite \textit{S. Eliahou} et al., J. Number Theory 129, No. 2, 339--348 (2009; Zbl 1218.12002) Full Text: DOI arXiv
Hou, Xiang-Dong On a vector space analogue of Kneser’s theorem. (English) Zbl 1132.12003 Linear Algebra Appl. 426, No. 1, 214-227 (2007). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 12F15 12F10 11P70 PDFBibTeX XMLCite \textit{X.-D. Hou}, Linear Algebra Appl. 426, No. 1, 214--227 (2007; Zbl 1132.12003) Full Text: DOI
Xiang, Qing Some results on multipliers and numerical multiplier groups of difference sets. (English) Zbl 0813.05012 Graphs Comb. 10, No. 3, 293-304 (1994). Reviewer: G.Ferrero (Parma) MSC: 05B10 20D60 12Y05 PDFBibTeX XMLCite \textit{Q. Xiang}, Graphs Comb. 10, No. 3, 293--304 (1994; Zbl 0813.05012) Full Text: DOI