Davidova, Diana; Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Ihringer, Ferdinand; Penttila, Tim Relation between o-equivalence and EA-equivalence for Niho bent functions. (English) Zbl 07331818 Finite Fields Appl. 72, Article ID 101834, 42 p. (2021). MSC: 06E30 51E21 94A60 PDF BibTeX XML Cite \textit{D. Davidova} et al., Finite Fields Appl. 72, Article ID 101834, 42 p. (2021; Zbl 07331818) Full Text: DOI
Pasalic, E.; Zhang, F.; Kudin, S.; Wei, Y. Vectorial bent functions weakly/strongly outside the completed Maiorana-McFarland class. (English) Zbl 07323967 Discrete Appl. Math. 294, 138-151 (2021). MSC: 11T PDF BibTeX XML Cite \textit{E. Pasalic} et al., Discrete Appl. Math. 294, 138--151 (2021; Zbl 07323967) Full Text: DOI
Oblaukhov, Alexey On metric regularity of Reed-Muller codes. (English) Zbl 07300837 Des. Codes Cryptography 89, No. 1, 167-197 (2021). MSC: 94B 06E30 68R01 94B05 PDF BibTeX XML Cite \textit{A. Oblaukhov}, Des. Codes Cryptography 89, No. 1, 167--197 (2021; Zbl 07300837) Full Text: DOI
Meidl, Wilfried; Pirsic, Isabel Bent and \(\mathbb{Z}_{2^k}\)-bent functions from spread-like partitions. (English) Zbl 07300832 Des. Codes Cryptography 89, No. 1, 75-89 (2021). MSC: 06E30 05B10 94C10 PDF BibTeX XML Cite \textit{W. Meidl} and \textit{I. Pirsic}, Des. Codes Cryptography 89, No. 1, 75--89 (2021; Zbl 07300832) Full Text: DOI
Yu, Yuyin; Kaleyski, Nikolay; Budaghyan, Lilya; Li, Yongqiang Classification of quadratic APN functions with coefficients in \(\mathbb{F}_2\) for dimensions up to 9. (English) Zbl 07312715 Finite Fields Appl. 68, Article ID 101733, 16 p. (2020). MSC: 94D10 94A60 06E30 PDF BibTeX XML Cite \textit{Y. Yu} et al., Finite Fields Appl. 68, Article ID 101733, 16 p. (2020; Zbl 07312715) Full Text: DOI
Kutsenko, A. V.; Tokareva, N. N. Metrical properties of the set of bent functions in view of duality. (English) Zbl 07312022 Prikl. Diskretn. Mat. 2020, No. 49, 18-34 (2020). MSC: 94D10 30 PDF BibTeX XML Cite \textit{A. V. Kutsenko} and \textit{N. N. Tokareva}, Prikl. Diskretn. Mat. 2020, No. 49, 18--34 (2020; Zbl 07312022) Full Text: DOI MNR
Zhang, Li; Zhou, Xiaofeng; Chen, Min The research on the properties of Fourier matrix and bent function. (English) Zbl 07293660 Numer. Algebra Control Optim. 10, No. 4, 571-578 (2020). MSC: 03G05 06E30 PDF BibTeX XML Cite \textit{L. Zhang} et al., Numer. Algebra Control Optim. 10, No. 4, 571--578 (2020; Zbl 07293660) Full Text: DOI
Zheng, Lijing; Peng, Jie; Kan, Haibin; Li, Yanjun; Luo, Juan On constructions and properties of \((n,m)\)-functions with maximal number of bent components. (English) Zbl 1454.94109 Des. Codes Cryptography 88, No. 10, 2171-2186 (2020). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 94A60 11T71 14G50 PDF BibTeX XML Cite \textit{L. Zheng} et al., Des. Codes Cryptography 88, No. 10, 2171--2186 (2020; Zbl 1454.94109) Full Text: DOI
Potapov, Vladimir N. On \(q\)-ary bent and plateaued functions. (English) Zbl 07257267 Des. Codes Cryptography 88, No. 10, 2037-2049 (2020). MSC: 94D10 94A60 94C10 06E30 PDF BibTeX XML Cite \textit{V. N. Potapov}, Des. Codes Cryptography 88, No. 10, 2037--2049 (2020; Zbl 07257267) Full Text: DOI
Hodžić, S.; Pasalic, E.; Wei, Y. A general framework for secondary constructions of bent and plateaued functions. (English) Zbl 07257266 Des. Codes Cryptography 88, No. 10, 2007-2035 (2020). MSC: 94D10 94A60 06E30 PDF BibTeX XML Cite \textit{S. Hodžić} et al., Des. Codes Cryptography 88, No. 10, 2007--2035 (2020; Zbl 07257266) Full Text: DOI
Mesnager, Sihem On generalized hyper-bent functions. (English) Zbl 07254094 Cryptogr. Commun. 12, No. 3, 455-468 (2020). MSC: 11T06 11T23 11T71 PDF BibTeX XML Cite \textit{S. Mesnager}, Cryptogr. Commun. 12, No. 3, 455--468 (2020; Zbl 07254094) Full Text: DOI
Potapov, V. N.; Avgustinovich, S. V. Combinatorial designs, difference sets, and bent functions as perfect colorings of graphs and multigraphs. (English. Russian original) Zbl 1448.05028 Sib. Math. J. 61, No. 5, 867-877 (2020); translation from Sib. Mat. Zh. 61, No. 5, 1087-1100 (2020). MSC: 05B30 05C15 05C65 05D15 05B20 05B10 94A60 PDF BibTeX XML Cite \textit{V. N. Potapov} and \textit{S. V. Avgustinovich}, Sib. Math. J. 61, No. 5, 867--877 (2020; Zbl 1448.05028); translation from Sib. Mat. Zh. 61, No. 5, 1087--1100 (2020) Full Text: DOI
Polujan, Alexandr A.; Pott, Alexander Cubic bent functions outside the completed Maiorana-McFarland class. (English) Zbl 1453.94173 Des. Codes Cryptography 88, No. 9, 1701-1722 (2020). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 94D10 94A60 06E30 14G50 94C30 PDF BibTeX XML Cite \textit{A. A. Polujan} and \textit{A. Pott}, Des. Codes Cryptography 88, No. 9, 1701--1722 (2020; Zbl 1453.94173) Full Text: DOI
Mesnager, Sihem; Mandal, Bimal; Tang, Chunming New characterizations and construction methods of bent and hyper-bent Boolean functions. (English) Zbl 07245963 Discrete Math. 343, No. 11, Article ID 112081, 11 p. (2020). MSC: 94D10 06E30 11T71 PDF BibTeX XML Cite \textit{S. Mesnager} et al., Discrete Math. 343, No. 11, Article ID 112081, 11 p. (2020; Zbl 07245963) Full Text: DOI
Zhang, Fengrong; Cepak, Nastja; Pasalic, Enes; Wei, Yongzhuang Further analysis of bent functions from \(\mathcal{C}\) and \(\mathcal{D}\) which are provably outside or inside \(\mathcal{M}^{\#} \). (English) Zbl 1448.94316 Discrete Appl. Math. 285, 458-472 (2020). MSC: 94D10 PDF BibTeX XML Cite \textit{F. Zhang} et al., Discrete Appl. Math. 285, 458--472 (2020; Zbl 1448.94316) Full Text: DOI
Li, Yanjun; Peng, Jie; Tan, Chik How An answer to an open problem of Mesnager on bent functions. (English) Zbl 1441.94087 Inf. Process. Lett. 161, Article ID 105974, 2 p. (2020). MSC: 94A60 94D10 PDF BibTeX XML Cite \textit{Y. Li} et al., Inf. Process. Lett. 161, Article ID 105974, 2 p. (2020; Zbl 1441.94087) Full Text: DOI
Riera, Constanza; Stănică, Pantelimon; Gangopadhyay, Sugata Generalized bent Boolean functions and strongly regular Cayley graphs. (English) Zbl 1442.05250 Discrete Appl. Math. 283, 367-374 (2020). MSC: 05E30 05C25 94D10 PDF BibTeX XML Cite \textit{C. Riera} et al., Discrete Appl. Math. 283, 367--374 (2020; Zbl 1442.05250) Full Text: DOI
Dempwolff, Ulrich Automorphisms and isomorphisms of some \(p\)-ary bent functions. (English) Zbl 07207588 J. Algebr. Comb. 51, No. 4, 527-566 (2020). Reviewer: Wilfried Meidl (Linz) MSC: 94D10 05B10 06E30 20B25 PDF BibTeX XML Cite \textit{U. Dempwolff}, J. Algebr. Comb. 51, No. 4, 527--566 (2020; Zbl 07207588) Full Text: DOI
Wu, Yanan; Li, Nian; Zeng, Xiangyong Linear codes with few weights from cyclotomic classes and weakly regular bent functions. (English) Zbl 1448.94277 Des. Codes Cryptography 88, No. 6, 1255-1272 (2020). MSC: 94B05 11T71 94D10 PDF BibTeX XML Cite \textit{Y. Wu} et al., Des. Codes Cryptography 88, No. 6, 1255--1272 (2020; Zbl 1448.94277) Full Text: DOI
Chen, Zhixiong; Klapper, Andrew On \(q\)-nearly bent Boolean functions. (English) Zbl 1434.94121 Discrete Appl. Math. 279, 210-217 (2020). MSC: 94D10 06E30 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{A. Klapper}, Discrete Appl. Math. 279, 210--217 (2020; Zbl 1434.94121) Full Text: DOI
Tang, Deng; Yan, Haode; Zhou, Zhengchun; Zhang, Xiaosong A new lower bound on the second-order nonlinearity of a class of monomial bent functions. (English) Zbl 1446.94218 Cryptogr. Commun. 12, No. 1, 77-83 (2020). MSC: 94D10 11T71 94A60 PDF BibTeX XML Cite \textit{D. Tang} et al., Cryptogr. Commun. 12, No. 1, 77--83 (2020; Zbl 1446.94218) Full Text: DOI
Özbudak, Ferruh; Pelen, Rumi Melih Duals of non-weakly regular bent functions are not weakly regular and generalization to plateaued functions. (English) Zbl 07189015 Finite Fields Appl. 64, Article ID 101668, 16 p. (2020). MSC: 94A60 11T71 06E30 PDF BibTeX XML Cite \textit{F. Özbudak} and \textit{R. M. Pelen}, Finite Fields Appl. 64, Article ID 101668, 16 p. (2020; Zbl 07189015) Full Text: DOI
Keskar, Pradipkumar H.; Kumari, Priyanka Polynomial criterion for abelian difference sets. (English) Zbl 1437.05032 Indian J. Pure Appl. Math. 51, No. 1, 233-249 (2020). MSC: 05B10 11T71 13P99 06E30 PDF BibTeX XML Cite \textit{P. H. Keskar} and \textit{P. Kumari}, Indian J. Pure Appl. Math. 51, No. 1, 233--249 (2020; Zbl 1437.05032) Full Text: DOI
Leung, Ka Hin; Wang, Qi New nonexistence results on \((m, n)\)-generalized bent functions. (English) Zbl 1454.94151 Des. Codes Cryptography 88, No. 4, 755-770 (2020). MSC: 94D10 11T71 PDF BibTeX XML Cite \textit{K. H. Leung} and \textit{Q. Wang}, Des. Codes Cryptography 88, No. 4, 755--770 (2020; Zbl 1454.94151) Full Text: DOI
Hodžić, S.; Pasalic, E.; Gangopadhyay, S. Generic constructions of \(\mathbb{Z}\)-bent functions. (English) Zbl 07173886 Des. Codes Cryptography 88, No. 3, 601-623 (2020). MSC: 06E30 65T50 PDF BibTeX XML Cite \textit{S. Hodžić} et al., Des. Codes Cryptography 88, No. 3, 601--623 (2020; Zbl 07173886) Full Text: DOI
Gao, Guangpu; Lin, Dongdai; Liu, Wenfen; Wang, Yongjuan Composition of Boolean functions: an application to the secondary constructions of bent functions. (English) Zbl 07155204 Discrete Math. 343, No. 3, Article ID 111711, 10 p. (2020). MSC: 06 94 PDF BibTeX XML Cite \textit{G. Gao} et al., Discrete Math. 343, No. 3, Article ID 111711, 10 p. (2020; Zbl 07155204) Full Text: DOI
Kutsenko, Aleksandr Metrical properties of self-dual bent functions. (English) Zbl 07149379 Des. Codes Cryptography 88, No. 1, 201-222 (2020). MSC: 06E30 15B34 94C10 PDF BibTeX XML Cite \textit{A. Kutsenko}, Des. Codes Cryptography 88, No. 1, 201--222 (2020; Zbl 07149379) Full Text: DOI
Zhang, Wenying; Xing, Zhaohui; Feng, Keqin A construction of bent functions with optimal algebraic degree and large symmetric group. (English) Zbl 07136837 Adv. Math. Commun. 14, No. 1, 23-33 (2020). MSC: 03G05 06E25 PDF BibTeX XML Cite \textit{W. Zhang} et al., Adv. Math. Commun. 14, No. 1, 23--33 (2020; Zbl 07136837) Full Text: DOI
Xie, Chunlei; Sun, Yujuan Construction and assignment of orthogonal sequences and zero correlation zone sequences for applications in CDMA systems. (English) Zbl 07136835 Adv. Math. Commun. 14, No. 1, 1-9 (2020). MSC: 11B50 94A55 11B75 PDF BibTeX XML Cite \textit{C. Xie} and \textit{Y. Sun}, Adv. Math. Commun. 14, No. 1, 1--9 (2020; Zbl 07136835) Full Text: DOI
Schmidt, Bernhard A survey of group invariant Butson matrices and their relation to generalized bent functions and various other objects. (English) Zbl 1444.05034 Schmidt, Kai-Uwe (ed.) et al., Combinatorics and finite fields. Difference sets, polynomials, pseudorandomness and applications. Selected papers based on the presentations at the workshop on pseudo-randomness and finite fields, Linz, Austria, October 15–18, 2018. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 23, 241-253 (2019). MSC: 05B20 05B10 94D10 PDF BibTeX XML Cite \textit{B. Schmidt}, Radon Ser. Comput. Appl. Math. 23, 241--253 (2019; Zbl 1444.05034) Full Text: DOI
Çeşmelioğlu, Ayça; Meidl, Wilfried; Pott, Alexander A survey on bent functions and their duals. (English) Zbl 07224770 Schmidt, Kai-Uwe (ed.) et al., Combinatorics and finite fields. Difference sets, polynomials, pseudorandomness and applications. Selected papers based on the presentations at the workshop on pseudo-randomness and finite fields, Linz, Austria, October 15–18, 2018. Berlin: De Gruyter (ISBN 978-3-11-064179-0/hbk; 978-3-11-064209-4/ebook). Radon Series on Computational and Applied Mathematics 23, 39-56 (2019). Reviewer: David Joyner (Annapolis) MSC: 94D10 94A60 11T71 06E30 05E18 05B10 94D05 PDF BibTeX XML Cite \textit{A. Çeşmelioğlu} et al., Radon Ser. Comput. Appl. Math. 23, 39--56 (2019; Zbl 07224770) Full Text: DOI
Özbudak, Ferruh; Pelen, Rumi Melih Strongly regular graphs arising from non-weakly regular bent functions. (English) Zbl 1446.11214 Cryptogr. Commun. 11, No. 6, 1297-1306 (2019). MSC: 11T71 05E30 11T22 PDF BibTeX XML Cite \textit{F. Özbudak} and \textit{R. M. Pelen}, Cryptogr. Commun. 11, No. 6, 1297--1306 (2019; Zbl 1446.11214) Full Text: DOI
Cepak, N.; Pasalic, E.; Muratović-Ribić, A. Frobenius linear translators giving rise to new infinite classes of permutations and bent functions. (English) Zbl 1434.11225 Cryptogr. Commun. 11, No. 6, 1275-1295 (2019). MSC: 11T06 14G50 94D10 PDF BibTeX XML Cite \textit{N. Cepak} et al., Cryptogr. Commun. 11, No. 6, 1275--1295 (2019; Zbl 1434.11225) Full Text: DOI
Luo, Gaojun; Cao, Xiwang; Mesnager, Sihem Several new classes of self-dual bent functions derived from involutions. (English) Zbl 07199642 Cryptogr. Commun. 11, No. 6, 1261-1273 (2019). Reviewer: Alexander Pott (Magdeburg) MSC: 11T71 94D10 11T06 PDF BibTeX XML Cite \textit{G. Luo} et al., Cryptogr. Commun. 11, No. 6, 1261--1273 (2019; Zbl 07199642) Full Text: DOI
Mesnager, Sihem; Riera, Constanza; Stănică, Pantelimon Multiple characters transforms and generalized Boolean functions. (English) Zbl 1434.94122 Cryptogr. Commun. 11, No. 6, 1247-1260 (2019). MSC: 94D10 06E30 11A07 PDF BibTeX XML Cite \textit{S. Mesnager} et al., Cryptogr. Commun. 11, No. 6, 1247--1260 (2019; Zbl 1434.94122) Full Text: DOI
Meidl, Wilfried; Pott, Alexander Generalized bent functions into \(\mathbb{Z}_{p^k}\) from the partial spread and the Maiorana-McFarland class. (English) Zbl 1446.11213 Cryptogr. Commun. 11, No. 6, 1233-1245 (2019). MSC: 11T71 94D10 06E30 05B10 PDF BibTeX XML Cite \textit{W. Meidl} and \textit{A. Pott}, Cryptogr. Commun. 11, No. 6, 1233--1245 (2019; Zbl 1446.11213) Full Text: DOI
Tang, Deng; Mandal, Bimal; Maitra, Subhamoy Vectorial Boolean functions with very low differential-linear uniformity using Maiorana-McFarland type construction. (English) Zbl 07199468 Hao, Feng (ed.) et al., Progress in cryptology – INDOCRYPT 2019. 20th international conference on cryptology in India, Hyderabad, India, December 15–18, 2019. Proceedings. Cham: Springer (ISBN 978-3-030-35422-0/pbk; 978-3-030-35423-7/ebook). Lecture Notes in Computer Science 11898, 341-360 (2019). MSC: 94D10 94A60 94C11 PDF BibTeX XML Cite \textit{D. Tang} et al., Lect. Notes Comput. Sci. 11898, 341--360 (2019; Zbl 07199468) Full Text: DOI
Stănică, Pantelimon; Mandal, Bimal; Maitra, Subhamoy The connection between quadratic bent-negabent functions and the Kerdock code. (English) Zbl 07144434 Appl. Algebra Eng. Commun. Comput. 30, No. 5, 387-401 (2019). Reviewer: David Joyner (Annapolis) MSC: 94D10 94B99 PDF BibTeX XML Cite \textit{P. Stănică} et al., Appl. Algebra Eng. Commun. Comput. 30, No. 5, 387--401 (2019; Zbl 07144434) Full Text: DOI
Poojary, Prasanna; Panackal, Harikrishnan; Bhatta, Vadiraja G. R. Algebraic construction of near-bent and APN functions. (English) Zbl 07137688 Adv. Appl. Clifford Algebr. 29, No. 5, Paper No. 93, 13 p. (2019); correction ibid. Paper No. 26, 2 p. (2020). MSC: 94D10 PDF BibTeX XML Cite \textit{P. Poojary} et al., Adv. Appl. Clifford Algebr. 29, No. 5, Paper No. 93, 13 p. (2019; Zbl 07137688) Full Text: DOI
Anbar, Nurdagül; Meidl, Wilfried; Pott, Alexander Equivalence for negabent functions and their relative difference sets. (English) Zbl 1427.94118 Discrete Appl. Math. 270, 1-12 (2019). MSC: 94D10 PDF BibTeX XML Cite \textit{N. Anbar} et al., Discrete Appl. Math. 270, 1--12 (2019; Zbl 1427.94118) Full Text: DOI
Mesnager, Sihem; Zhang, Fengrong; Tang, Chunming; Zhou, Yong Further study on the maximum number of bent components of vectorial functions. (English) Zbl 1421.94129 Des. Codes Cryptography 87, No. 11, 2597-2610 (2019). MSC: 94C10 06E30 PDF BibTeX XML Cite \textit{S. Mesnager} et al., Des. Codes Cryptography 87, No. 11, 2597--2610 (2019; Zbl 1421.94129) Full Text: DOI arXiv
Tang, Chunming; Qi, Yanfeng; Huang, Dongmei Regular \(p\)-ary bent functions with five terms and Kloosterman sums. (English) Zbl 1419.94049 Cryptogr. Commun. 11, No. 5, 1133-1144 (2019). MSC: 94A60 11T23 PDF BibTeX XML Cite \textit{C. Tang} et al., Cryptogr. Commun. 11, No. 5, 1133--1144 (2019; Zbl 1419.94049) Full Text: DOI
Wu, Gaofei; Parker, Matthew Geoffrey On Boolean functions with several flat spectra. (English) Zbl 1419.94100 Cryptogr. Commun. 11, No. 5, 853-880 (2019). MSC: 94D05 94C10 PDF BibTeX XML Cite \textit{G. Wu} and \textit{M. G. Parker}, Cryptogr. Commun. 11, No. 5, 853--880 (2019; Zbl 1419.94100) Full Text: DOI
Riera, Constanza; Stănică, Pantelimon Landscape Boolean functions. (English) Zbl 1419.94097 Adv. Math. Commun. 13, No. 4, 613-627 (2019). MSC: 94C10 06E30 11T71 PDF BibTeX XML Cite \textit{C. Riera} and \textit{P. Stănică}, Adv. Math. Commun. 13, No. 4, 613--627 (2019; Zbl 1419.94097) Full Text: DOI arXiv
Charpin, Pascale; Peng, Jie Differential uniformity and the associated codes of cryptographic functions. (English) Zbl 1419.94033 Adv. Math. Commun. 13, No. 4, 579-600 (2019). MSC: 94A60 11T71 PDF BibTeX XML Cite \textit{P. Charpin} and \textit{J. Peng}, Adv. Math. Commun. 13, No. 4, 579--600 (2019; Zbl 1419.94033) Full Text: DOI
Logachev, Oleg A.; Fedorov, Sergey N.; Yashchenko, Valerii V. Boolean functions as points on the hypersphere in the Euclidean space. (English. Russian original) Zbl 1446.94217 Discrete Math. Appl. 29, No. 2, 89-101 (2019); translation from Diskretn. Mat. 30, No. 1, 39-55 (2018). MSC: 94D10 PDF BibTeX XML Cite \textit{O. A. Logachev} et al., Discrete Math. Appl. 29, No. 2, 89--101 (2019; Zbl 1446.94217); translation from Diskretn. Mat. 30, No. 1, 39--55 (2018) Full Text: DOI
Oblaukhov, Alexey A lower bound on the size of the largest metrically regular subset of the Boolean cube. (English) Zbl 07078585 Cryptogr. Commun. 11, No. 4, 777-791 (2019). MSC: 94A60 94D10 68R01 05C35 PDF BibTeX XML Cite \textit{A. Oblaukhov}, Cryptogr. Commun. 11, No. 4, 777--791 (2019; Zbl 07078585) Full Text: DOI
Abdukhalikov, Kanat Hyperovals and bent functions. (English) Zbl 1419.51008 Eur. J. Comb. 79, 123-139 (2019). MSC: 51E21 PDF BibTeX XML Cite \textit{K. Abdukhalikov}, Eur. J. Comb. 79, 123--139 (2019; Zbl 1419.51008) Full Text: DOI
Carlet, Claude; Chen, Xi; Qu, Longjiang Constructing infinite families of low differential uniformity (\(n,m\))-functions with \(m>n/2\). (English) Zbl 1445.94016 Des. Codes Cryptography 87, No. 7, 1577-1599 (2019). MSC: 94A60 11T71 06E30 PDF BibTeX XML Cite \textit{C. Carlet} et al., Des. Codes Cryptography 87, No. 7, 1577--1599 (2019; Zbl 1445.94016) Full Text: DOI
Lorch, John Pandiagonal type-\(p\) Franklin squares. (English) Zbl 1411.05040 Australas. J. Comb. 73, Part 1, 84-106 (2019). MSC: 05B15 05A15 PDF BibTeX XML Cite \textit{J. Lorch}, Australas. J. Comb. 73, Part 1, 84--106 (2019; Zbl 1411.05040) Full Text: Link arXiv
Pasalic, Enes; Hodžić, Samir; Zhang, Fengrong; Wei, Yongzhuang Bent functions from nonlinear permutations and conversely. (English) Zbl 1409.94896 Cryptogr. Commun. 11, No. 2, 207-225 (2019). MSC: 94A60 06E30 PDF BibTeX XML Cite \textit{E. Pasalic} et al., Cryptogr. Commun. 11, No. 2, 207--225 (2019; Zbl 1409.94896) Full Text: DOI
Tang, Deng; Kavut, Selçuk; Mandal, Bimal; Maitra, Subhamoy Modifying Maiorana-McFarland type bent functions for good cryptographic properties and efficient implementation. (English) Zbl 1408.94967 SIAM J. Discrete Math. 33, No. 1, 238-256 (2019). MSC: 94A60 94C10 PDF BibTeX XML Cite \textit{D. Tang} et al., SIAM J. Discrete Math. 33, No. 1, 238--256 (2019; Zbl 1408.94967) Full Text: DOI
Pasalic, E.; Gangopadhyay, S.; Zhang, W.-G.; Bajrić, S. Design methods for semi-bent functions. (English) Zbl 07003088 Inf. Process. Lett. 143, 61-70 (2019). MSC: 68Q PDF BibTeX XML Cite \textit{E. Pasalic} et al., Inf. Process. Lett. 143, 61--70 (2019; Zbl 07003088) Full Text: DOI
Chen, Zhixiong; Gu, Ting; Klapper, Andrew On the \(q\)-bentness of Boolean functions. (English) Zbl 1403.94049 Des. Codes Cryptography 87, No. 1, 163-171 (2019). MSC: 94A60 06E30 05B10 PDF BibTeX XML Cite \textit{Z. Chen} et al., Des. Codes Cryptography 87, No. 1, 163--171 (2019; Zbl 1403.94049) 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 PDF BibTeX XML Cite \textit{B. Mandal} et al., Cryptogr. Commun. 11, No. 1, 77--92 (2019; Zbl 1420.94124) Full Text: DOI
Ding, Cunsheng Designs from linear codes. (English) Zbl 1408.94003 Hackensack, NJ: World Scientific (ISBN 978-981-3274-32-7/hbk; 978-981-3274-34-1/ebook). xiii, 377 p. (2019). Reviewer: Zlatko Varbanov (Veliko Tarnovo) MSC: 94-02 05-02 94B05 94B25 05B05 51E05 05B10 PDF BibTeX XML Cite \textit{C. Ding}, Designs from linear codes. Hackensack, NJ: World Scientific (2019; Zbl 1408.94003) Full Text: DOI
Oblaukhov, Alekseĭ Konstantinovich Maximal metrically regular sets. (English) Zbl 1454.94137 Sib. Èlektron. Mat. Izv. 15, 1842-1849 (2018). MSC: 94B25 05B40 06E30 94D10 PDF BibTeX XML Cite \textit{A. K. Oblaukhov}, Sib. Èlektron. Mat. Izv. 15, 1842--1849 (2018; Zbl 1454.94137) Full Text: DOI
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet Characterizations of partially bent and plateaued functions over finite fields. (English) Zbl 1445.94047 Budaghyan, Lilya (ed.) et al., Arithmetic of finite fields. 7th international workshop, WAIFI 2018, Bergen, Norway, June 14–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11321, 224-241 (2018). MSC: 94D05 11T06 PDF BibTeX XML Cite \textit{S. Mesnager} et al., Lect. Notes Comput. Sci. 11321, 224--241 (2018; Zbl 1445.94047) Full Text: DOI
Martinsen, Thor; Meidl, Wilfried; Pott, Alexander; Stănică, Pantelimon On symmetry and differential properties of generalized Boolean functions. (English) Zbl 1445.94046 Budaghyan, Lilya (ed.) et al., Arithmetic of finite fields. 7th international workshop, WAIFI 2018, Bergen, Norway, June 14–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11321, 207-223 (2018). MSC: 94D05 PDF BibTeX XML Cite \textit{T. Martinsen} et al., Lect. Notes Comput. Sci. 11321, 207--223 (2018; Zbl 1445.94046) Full Text: DOI
Khairallah, Mustafa; Chattopadhyay, Anupam; Mandal, Bimal; Maitra, Subhamoy On hardware implementation of Tang-maitra Boolean functions. (English) Zbl 1446.94216 Budaghyan, Lilya (ed.) et al., Arithmetic of finite fields. 7th international workshop, WAIFI 2018, Bergen, Norway, June 14–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11321, 111-127 (2018). MSC: 94D10 94C11 PDF BibTeX XML Cite \textit{M. Khairallah} et al., Lect. Notes Comput. Sci. 11321, 111--127 (2018; Zbl 1446.94216) Full Text: DOI
Wolfmann, J. Three-weight codes and near-bent functions from two-weight codes. (English) Zbl 1417.94109 Appl. Algebra Eng. Commun. Comput. 29, No. 6, 513-528 (2018). MSC: 94B05 PDF BibTeX XML Cite \textit{J. Wolfmann}, Appl. Algebra Eng. Commun. Comput. 29, No. 6, 513--528 (2018; Zbl 1417.94109) Full Text: DOI
Zhao, Qinglan; Zheng, Dong; Zhang, Weiguo Constructions of rotation symmetric bent functions with high algebraic degree. (English) Zbl 1403.94093 Discrete Appl. Math. 251, 15-29 (2018). MSC: 94A60 06E30 PDF BibTeX XML Cite \textit{Q. Zhao} et al., Discrete Appl. Math. 251, 15--29 (2018; Zbl 1403.94093) Full Text: DOI
Çeşmelioğlu, Ayça; Meidl, Wilfried Bent and vectorial bent functions, partial difference sets, and strongly regular graphs. (English) Zbl 1417.94129 Adv. Math. Commun. 12, No. 4, 691-705 (2018). MSC: 94D10 05B10 11T06 PDF BibTeX XML Cite \textit{A. Çeşmelioğlu} and \textit{W. Meidl}, Adv. Math. Commun. 12, No. 4, 691--705 (2018; Zbl 1417.94129) 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 PDF BibTeX XML Cite \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
Qi, Yanfeng; Tang, Chunming; Zhou, Zhengchun; Fan, Cuiling Several infinite families of \(p\)-ary weakly regular bent functions. (English) Zbl 1414.94915 Adv. Math. Commun. 12, No. 2, 303-315 (2018). MSC: 94A60 94D05 11T71 PDF BibTeX XML Cite \textit{Y. Qi} et al., Adv. Math. Commun. 12, No. 2, 303--315 (2018; Zbl 1414.94915) Full Text: DOI
Hodžić, Samir; Meidl, Wilfried; Pasalic, Enes Full characterization of generalized bent functions as (semi)-bent spaces, their dual, and the Gray image. (English) Zbl 1401.94263 IEEE Trans. Inf. Theory 64, No. 7, 5432-5440 (2018). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 94C10 94D05 11T71 PDF BibTeX XML Cite \textit{S. Hodžić} et al., IEEE Trans. Inf. Theory 64, No. 7, 5432--5440 (2018; Zbl 1401.94263) 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: 94C10 05B10 11T71 06E30 PDF BibTeX XML Cite \textit{W. Meidl} and \textit{Í. Pirsic}, Cryptogr. Commun. 10, No. 6, 1037--1049 (2018; Zbl 1419.94095) Full Text: DOI
Fan, Yun; Xu, Bangteng Fourier transforms and bent functions on finite groups. (English) Zbl 1393.43003 Des. Codes Cryptography 86, No. 9, 2091-2113 (2018). Reviewer: George Stoica (Saint John) MSC: 43A30 11T71 20C15 PDF BibTeX XML Cite \textit{Y. Fan} and \textit{B. Xu}, Des. Codes Cryptography 86, No. 9, 2091--2113 (2018; Zbl 1393.43003) Full Text: DOI
Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet On the \(p\)-ary (cubic) bent and plateaued (vectorial) functions. (English) Zbl 1402.94065 Des. Codes Cryptography 86, No. 8, 1865-1892 (2018). MSC: 94A60 94C10 11T71 PDF BibTeX XML Cite \textit{S. Mesnager} et al., Des. Codes Cryptography 86, No. 8, 1865--1892 (2018; Zbl 1402.94065) Full Text: DOI
Tang, Chunming; Qi, Yanfeng; Zhou, Zhengchun; Fan, Cuiling Two infinite classes of rotation symmetric bent functions with simple representation. (English) Zbl 1402.94132 Appl. Algebra Eng. Commun. Comput. 29, No. 3, 197-208 (2018). MSC: 94C10 94A60 11T23 PDF BibTeX XML Cite \textit{C. Tang} et al., Appl. Algebra Eng. Commun. Comput. 29, No. 3, 197--208 (2018; Zbl 1402.94132) Full Text: DOI arXiv
Çeşmelioğlu, Ayça; Meidl, Wilfried; Pott, Alexander Vectorial bent functions and their duals. (English) Zbl 1391.94862 Linear Algebra Appl. 548, 305-320 (2018). MSC: 94B25 05E18 11T71 PDF BibTeX XML Cite \textit{A. Çeşmelioğlu} et al., Linear Algebra Appl. 548, 305--320 (2018; Zbl 1391.94862) Full Text: DOI
Gangopadhyay, Sugata; Mandal, Bimal; Stănică, Pantelimon Gowers \(U_3\) norm of some classes of bent Boolean functions. (English) Zbl 1417.94131 Des. Codes Cryptography 86, No. 5, 1131-1148 (2018). Reviewer: Ioan Tomescu (Bucureşti) MSC: 94C10 06E30 PDF BibTeX XML Cite \textit{S. Gangopadhyay} et al., Des. Codes Cryptography 86, No. 5, 1131--1148 (2018; Zbl 1417.94131) Full Text: DOI
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 PDF BibTeX XML Cite \textit{O. Olmez}, Des. Codes Cryptography 86, No. 4, 817--833 (2018; Zbl 1388.05024) Full Text: DOI
Hodžić, S.; Pasalic, E. Construction methods for generalized bent functions. (English) Zbl 1402.94135 Discrete Appl. Math. 238, 14-23 (2018). MSC: 94D10 11T71 06E30 PDF BibTeX XML Cite \textit{S. Hodžić} and \textit{E. Pasalic}, Discrete Appl. Math. 238, 14--23 (2018; Zbl 1402.94135) 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 PDF BibTeX XML Cite \textit{L. Sok} et al., Cryptogr. Commun. 10, No. 2, 277--289 (2018; Zbl 1412.94257) Full Text: DOI
Anbar, Nurdagül; Meidl, Wilfried Modified planar functions and their components. (English) Zbl 1416.06005 Cryptogr. Commun. 10, No. 2, 235-249 (2018). MSC: 06E30 05B10 PDF BibTeX XML Cite \textit{N. Anbar} and \textit{W. Meidl}, Cryptogr. Commun. 10, No. 2, 235--249 (2018; Zbl 1416.06005) Full Text: DOI
Mandal, Bimal; Singh, Bhupendra; Gangopadhyay, Sugata; Maitra, Subhamoy; Vetrivel, V. On non-existence of bent-negabent rotation symmetric Boolean functions. (English) Zbl 1431.94217 Discrete Appl. Math. 236, 1-6 (2018). MSC: 94D10 06E30 PDF BibTeX XML Cite \textit{B. Mandal} et al., Discrete Appl. Math. 236, 1--6 (2018; Zbl 1431.94217) Full Text: DOI
Leopardi, Paul Twin bent functions, strongly regular Cayley graphs, and Hurwitz-Radon theory. (English) Zbl 1425.05161 J. Algebra Comb. Discrete Struct. Appl. 4, No. 3, 271-280 (2017). MSC: 05E30 05C25 11T71 15A24 15B34 11E88 PDF BibTeX XML Cite \textit{P. Leopardi}, J. Algebra Comb. Discrete Struct. Appl. 4, No. 3, 271--280 (2017; Zbl 1425.05161) Full Text: DOI arXiv
Charpin, Pascale; Kyureghyan, Gohar M. On sets determining the differential spectrum of mappings. (English) Zbl 1406.94036 Int. J. Inf. Coding Theory 4, No. 2-3, 170-184 (2017). MSC: 94A60 11T06 68P25 94C10 PDF BibTeX XML Cite \textit{P. Charpin} and \textit{G. M. Kyureghyan}, Int. J. Inf. Coding Theory 4, No. 2--3, 170--184 (2017; Zbl 1406.94036) Full Text: DOI
Carlet, Claude; Feukoua, Serge Three basic questions on Boolean functions. (English) Zbl 1425.94089 Adv. Math. Commun. 11, No. 4, 837-855 (2017). MSC: 94C10 94A60 11T71 06E30 PDF BibTeX XML Cite \textit{C. Carlet} and \textit{S. Feukoua}, Adv. Math. Commun. 11, No. 4, 837--855 (2017; Zbl 1425.94089) Full Text: DOI
Li, Jianing; Deng, Yingpu Nonexistence of two classes of generalized bent functions. (English) Zbl 1388.11074 Des. Codes Cryptography 85, No. 3, 471-482 (2017). Reviewer: István Gaál (Debrecen) MSC: 11R04 94A60 PDF BibTeX XML Cite \textit{J. Li} and \textit{Y. Deng}, Des. Codes Cryptography 85, No. 3, 471--482 (2017; Zbl 1388.11074) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{N. Kolomeec}, Des. Codes Cryptography 85, No. 3, 395--410 (2017; Zbl 1417.94138) Full Text: DOI
Hodžić, Samir; Pasalic, Enes Generalized bent functions – sufficient conditions and related constructions. (English) Zbl 1418.94091 Adv. Math. Commun. 11, No. 3, 549-566 (2017). MSC: 94D10 11T71 PDF BibTeX XML Cite \textit{S. Hodžić} and \textit{E. Pasalic}, Adv. Math. Commun. 11, No. 3, 549--566 (2017; Zbl 1418.94091) Full Text: DOI
Martinsen, Thor; Meidl, Wilfried; Stănică, Pantelimon Partial spread and vectorial generalized bent functions. (English) Zbl 1408.94997 Des. Codes Cryptography 85, No. 1, 1-13 (2017). MSC: 94C10 06E30 05B10 PDF BibTeX XML Cite \textit{T. Martinsen} et al., Des. Codes Cryptography 85, No. 1, 1--13 (2017; Zbl 1408.94997) Full Text: DOI arXiv
Sun, Zhiqiang; Hu, Lei Several classes of Boolean functions with four-valued Walsh spectra. (English) Zbl 1407.94154 Int. J. Found. Comput. Sci. 28, No. 4, 357-377 (2017). Reviewer: Wilfried Meidl (Linz) MSC: 94A60 11T71 PDF BibTeX XML Cite \textit{Z. Sun} and \textit{L. Hu}, Int. J. Found. Comput. Sci. 28, No. 4, 357--377 (2017; Zbl 1407.94154) Full Text: DOI
Abdukhalikov, Kanat Bent functions and line ovals. (English) Zbl 1401.51005 Finite Fields Appl. 47, 94-124 (2017). Reviewer: Daniele Bartoli (Perugia) MSC: 51E15 51E21 51E23 12K10 94A60 PDF BibTeX XML Cite \textit{K. Abdukhalikov}, Finite Fields Appl. 47, 94--124 (2017; Zbl 1401.51005) Full Text: DOI
Wolfmann, J. Sequences of bent functions and near-bent functions. (English) Zbl 1369.94569 Cryptogr. Commun. 9, No. 6, 729-736 (2017). MSC: 94A60 PDF BibTeX XML Cite \textit{J. Wolfmann}, Cryptogr. Commun. 9, No. 6, 729--736 (2017; Zbl 1369.94569) Full Text: DOI
Anbar, Nurdagül; Meidl, Wilfried Bent and bent\(_4\) spectra of Boolean functions over finite fields. (English) Zbl 1405.11152 Finite Fields Appl. 46, 163-178 (2017). MSC: 11T71 94D10 06E30 PDF BibTeX XML Cite \textit{N. Anbar} and \textit{W. Meidl}, Finite Fields Appl. 46, 163--178 (2017; Zbl 1405.11152) Full Text: DOI
Calderini, M.; Sala, M.; Villa, I. A note on APN permutations in even dimension. (English) Zbl 1420.94043 Finite Fields Appl. 46, 1-16 (2017). MSC: 94A60 06E30 20B40 PDF BibTeX XML Cite \textit{M. Calderini} et al., Finite Fields Appl. 46, 1--16 (2017; Zbl 1420.94043) 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: 94A60 94D10 06E30 PDF BibTeX XML Cite \textit{G. Xu} et al., Appl. Algebra Eng. Commun. Comput. 28, No. 2, 155--176 (2017; Zbl 1427.94084) Full Text: DOI
Carlet, Claude; Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet Explicit characterizations for plateaued-Ness of \(p\)-ary (vectorial) functions. (English) Zbl 1420.94122 El Hajji, Said (ed.) et al., Codes, cryptology and information security. Second international conference, C2SI 2017, Rabat, Morocco, April 10–12, 2017. Proceedings – in honor of Claude Carlet. Cham: Springer. Lect. Notes Comput. Sci. 10194, 328-345 (2017). MSC: 94C10 94D05 PDF BibTeX XML Cite \textit{C. Carlet} et al., Lect. Notes Comput. Sci. 10194, 328--345 (2017; Zbl 1420.94122) Full Text: DOI
Zhang, F.; Pasalic, E.; Cepak, N.; Wei, Y. Bent functions in \(\mathcal C\) and \(\mathcal D\) outside the completed Maiorana-McFarland class. (English) Zbl 1408.94972 El Hajji, Said (ed.) et al., Codes, cryptology and information security. Second international conference, C2SI 2017, Rabat, Morocco, April 10–12, 2017. Proceedings – in honor of Claude Carlet. Cham: Springer. Lect. Notes Comput. Sci. 10194, 298-313 (2017). MSC: 94A60 11T71 PDF BibTeX XML Cite \textit{F. Zhang} et al., Lect. Notes Comput. Sci. 10194, 298--313 (2017; Zbl 1408.94972) Full Text: DOI
Mesnager, Sihem; Ongan, Pınar; Özbudak, Ferruh New bent functions from permutations and linear translators. (English) Zbl 1408.94949 El Hajji, Said (ed.) et al., Codes, cryptology and information security. Second international conference, C2SI 2017, Rabat, Morocco, April 10–12, 2017. Proceedings – in honor of Claude Carlet. Cham: Springer. Lect. Notes Comput. Sci. 10194, 282-297 (2017). MSC: 94A60 PDF BibTeX XML Cite \textit{S. Mesnager} et al., Lect. Notes Comput. Sci. 10194, 282--297 (2017; Zbl 1408.94949) Full Text: DOI
Mesnager, Sihem; Zhang, Fengrong; Zhou, Yong On construction of bent functions involving symmetric functions and their duals. (English) Zbl 1408.94951 Adv. Math. Commun. 11, No. 2, 347-352 (2017). Reviewer: Xiang-Dong Hou (Tampa) MSC: 94A60 PDF BibTeX XML Cite \textit{S. Mesnager} et al., Adv. Math. Commun. 11, No. 2, 347--352 (2017; Zbl 1408.94951) Full Text: DOI
Mesnager, Sihem; Zhang, Fengrong On constructions of bent, semi-bent and five valued spectrum functions from old bent functions. (English) Zbl 1408.94950 Adv. Math. Commun. 11, No. 2, 339-345 (2017). Reviewer: Xiang-Dong Hou (Tampa) MSC: 94A60 PDF BibTeX XML Cite \textit{S. Mesnager} and \textit{F. Zhang}, Adv. Math. Commun. 11, No. 2, 339--345 (2017; Zbl 1408.94950) Full Text: DOI
Abdukhalikov, Kanat; Mesnager, Sihem Explicit constructions of bent functions from pseudo-planar functions. (English) Zbl 1404.94032 Adv. Math. Commun. 11, No. 2, 293-299 (2017). MSC: 94A60 94C10 12K10 PDF BibTeX XML Cite \textit{K. Abdukhalikov} and \textit{S. Mesnager}, Adv. Math. Commun. 11, No. 2, 293--299 (2017; Zbl 1404.94032) Full Text: DOI
Dalai, Deepak Kumar; Sarkar, Pinaki Key predistribution schemes using bent functions in distributed sensor networks. (English) Zbl 1404.94058 Chen, Kefei (ed.) et al., Information security and cryptology. 12th international conference, Inscrypt 2016, Beijing, China, November 4–6, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-54704-6/pbk; 978-3-319-54705-3/ebook). Lecture Notes in Computer Science 10143, 367-385 (2017). MSC: 94A60 PDF BibTeX XML Cite \textit{D. K. Dalai} and \textit{P. Sarkar}, Lect. Notes Comput. Sci. 10143, 367--385 (2017; Zbl 1404.94058) Full Text: DOI
Xu, Guangkui; Cao, Xiwang; Xu, Shanding Several classes of quadratic ternary bent, near-bent and 2-plateaued functions. (English) Zbl 1373.94956 Int. J. Found. Comput. Sci. 28, No. 1, 1-18 (2017). Reviewer: Wilfried Meidl (Linz) MSC: 94C10 11T71 12Y05 PDF BibTeX XML Cite \textit{G. Xu} et al., Int. J. Found. Comput. Sci. 28, No. 1, 1--18 (2017; Zbl 1373.94956) Full Text: DOI
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 PDF BibTeX XML Cite \textit{C. Tang} and \textit{Y. Qi}, Cryptogr. Commun. 9, No. 5, 647--664 (2017; Zbl 1358.94079) Full Text: DOI
Gangopadhyay, Sugata; Pasalic, Enes; Stănică, Pantelimon; Datta, Saral A note on non-splitting \(\mathbb Z\)-bent functions. (English) Zbl 1391.94751 Inf. Process. Lett. 121, 1-5 (2017). MSC: 94A60 94C10 PDF BibTeX XML Cite \textit{S. Gangopadhyay} et al., Inf. Process. Lett. 121, 1--5 (2017; Zbl 1391.94751) Full Text: DOI