Edit Profile Budaghyan, Lilya Compute Distance To: Compute Author ID: budaghyan.lilya Published as: Budaghyan, L.; Budaghyan, Lilya Documents Indexed: 33 Publications since 2006, including 2 Books all top 5 Co-Authors 2 single-authored 15 Helleseth, Tor 14 Carlet, Claude 4 Kaleyski, Nikolay S. 4 Kholosha, Alexander 3 Calderini, Marco 3 Stănică, Pantelimon 3 Villa, Irene 2 Leander, Gregor 2 Li, Nian 2 Parker, Matthew Geoffrey 2 Pott, Alexander 2 Riera, Constanza 2 Sun, Bo 1 Coulter, Robert S. 1 Kazymyrov, Oleksandr 1 Kwon, Soonhak 1 Li, Chunlei 1 Mesnager, Sihem 1 Rodríguez-Henríquez, Francisco all top 5 Serials 9 IEEE Transactions on Information Theory 7 Cryptography and Communications 3 Designs, Codes and Cryptography 2 Finite Fields and their Applications 1 Discrete Mathematics 1 International Journal of Foundations of Computer Science 1 Notices of the American Mathematical Society 1 Tatra Mountains Mathematical Publications 1 Lecture Notes in Computer Science all top 5 Fields 32 Information and communication theory, circuits (94-XX) 15 Number theory (11-XX) 6 General and overarching topics; collections (00-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Geometry (51-XX) 1 Combinatorics (05-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 18 Publications have been cited 273 times in 144 Documents Cited by ▼ Year ▼ New classes of almost bent and almost perfect nonlinear polynomials. Zbl 1177.94136Budaghyan, Lilya; Carlet, Claude; Pott, Alexander 60 2006 Two classes of quadratic APN binomials inequivalent to power functions. Zbl 1177.94135Budaghyan, Lilya; Carlet, Claude; Leander, Gregor 43 2008 Constructing new APN functions from known ones. Zbl 1184.94228Budaghyan, Lilya; Carlet, Claude; Leander, Gregor 40 2009 Classes of quadratic APN trinomials and hexanomials and related structures. Zbl 1177.94134Budaghyan, Lilya; Carlet, Claude 31 2008 New perfect nonlinear multinomials over \(\mathbb F_{p^{2k}}\) for any odd prime \(p\). Zbl 1177.94137Budaghyan, Lilya; Helleseth, Tor 20 2008 Construction and analysis of cryptographic functions. Zbl 1367.94001Budaghyan, Lilya 14 2014 New commutative semifields defined by new PN multinomials. Zbl 1291.12006Budaghyan, Lilya; Helleseth, Tor 12 2011 Further results on Niho bent functions. Zbl 1364.94797Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem 10 2012 On isotopisms of commutative presemifields and CCZ-equivalence of functions. Zbl 1245.94069Budaghyan, Lilya; Helleseth, Tor 6 2011 CCZ-equivalence of bent vectorial functions and related constructions. Zbl 1215.94035Budaghyan, Lilya; Carlet, Claude 6 2011 CCZ-equivalence of single and multi output Boolean functions. Zbl 1206.94055Budaghyan, Lilya; Carlet, Claude 6 2010 Planar functions and commutative semifields. Zbl 1274.94046Budaghyan, Lilya; Helleseth, Tor 6 2010 The simplest method for constructing APN polynomials EA-inequivalent to power functions. Zbl 1177.94133Budaghyan, Lilya 6 2007 Univariate Niho bent functions from o-polynomials. Zbl 1359.94930Budaghyan, Lilya; Kholosha, Alexander; Carlet, Claude; Helleseth, Tor 5 2016 On upper bounds for algebraic degrees of APN functions. Zbl 1395.94391Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Li, Nian; Sun, Bo 3 2018 On o-equivalence of Niho bent functions. Zbl 1400.94199Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander 3 2015 Some results on the known classes of quadratic APN functions. Zbl 1365.94409Budaghyan, Lilya; Helleseth, Tor; Li, Nian; Sun, Bo 1 2017 On differential uniformity and nonlinearity of functions. Zbl 1159.94005Budaghyan, Lilya; Pott, Alexander 1 2009 On upper bounds for algebraic degrees of APN functions. Zbl 1395.94391Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Li, Nian; Sun, Bo 3 2018 Some results on the known classes of quadratic APN functions. Zbl 1365.94409Budaghyan, Lilya; Helleseth, Tor; Li, Nian; Sun, Bo 1 2017 Univariate Niho bent functions from o-polynomials. Zbl 1359.94930Budaghyan, Lilya; Kholosha, Alexander; Carlet, Claude; Helleseth, Tor 5 2016 On o-equivalence of Niho bent functions. Zbl 1400.94199Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander 3 2015 Construction and analysis of cryptographic functions. Zbl 1367.94001Budaghyan, Lilya 14 2014 Further results on Niho bent functions. Zbl 1364.94797Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem 10 2012 New commutative semifields defined by new PN multinomials. Zbl 1291.12006Budaghyan, Lilya; Helleseth, Tor 12 2011 On isotopisms of commutative presemifields and CCZ-equivalence of functions. Zbl 1245.94069Budaghyan, Lilya; Helleseth, Tor 6 2011 CCZ-equivalence of bent vectorial functions and related constructions. Zbl 1215.94035Budaghyan, Lilya; Carlet, Claude 6 2011 CCZ-equivalence of single and multi output Boolean functions. Zbl 1206.94055Budaghyan, Lilya; Carlet, Claude 6 2010 Planar functions and commutative semifields. Zbl 1274.94046Budaghyan, Lilya; Helleseth, Tor 6 2010 Constructing new APN functions from known ones. Zbl 1184.94228Budaghyan, Lilya; Carlet, Claude; Leander, Gregor 40 2009 On differential uniformity and nonlinearity of functions. Zbl 1159.94005Budaghyan, Lilya; Pott, Alexander 1 2009 Two classes of quadratic APN binomials inequivalent to power functions. Zbl 1177.94135Budaghyan, Lilya; Carlet, Claude; Leander, Gregor 43 2008 Classes of quadratic APN trinomials and hexanomials and related structures. Zbl 1177.94134Budaghyan, Lilya; Carlet, Claude 31 2008 New perfect nonlinear multinomials over \(\mathbb F_{p^{2k}}\) for any odd prime \(p\). Zbl 1177.94137Budaghyan, Lilya; Helleseth, Tor 20 2008 The simplest method for constructing APN polynomials EA-inequivalent to power functions. Zbl 1177.94133Budaghyan, Lilya 6 2007 New classes of almost bent and almost perfect nonlinear polynomials. Zbl 1177.94136Budaghyan, Lilya; Carlet, Claude; Pott, Alexander 60 2006 all cited Publications top 5 cited Publications all top 5 Cited by 154 Authors 10 Budaghyan, Lilya 10 Carlet, Claude 8 Pott, Alexander 8 Zha, Zhengbang 7 Tan, Chik How 6 Bracken, Carl 6 Hu, Lei 5 Bierbrauer, Jürgen 5 Cao, Xiwang 5 Helleseth, Tor 5 Li, Yongqiang 5 Mesnager, Sihem 5 Peng, Jie 5 Xu, Shanding 5 Zhou, Yue 4 Charpin, Pascale 4 Feng, Tao 4 Horadam, Katryn J. 4 Kyureghyan, Gohar M. 4 Leander, Gregor 4 Tan, Yin 4 Trombetti, Rocco 4 Villa, Irene 4 Wang, Mingsheng 4 Xu, Guangkui 3 Abdukhalikov, Kanat S. 3 Byrne, Eimear 3 Calderini, Marco 3 Delgado Olortegui, Moises R. 3 Kaleyski, Nikolay S. 3 Lunardon, Guglielmo 3 Marino, Giuseppe 3 McGuire, Gary 3 Polverino, Olga 3 Qu, Longjiang 3 Riera, Constanza 3 Stănică, Pantelimon 3 Sun, Siwei 3 Wang, Xueli 3 Wu, Chuankun 3 Zeng, Xiangyong 2 Bartoli, Daniele 2 Dempwolff, Ulrich 2 Farmer, D. G. 2 Gorodilova, Anastasiya A. 2 Janwa, Heeralal 2 Kumar, Yogesh 2 Lavrauw, Michel 2 Li, Chao 2 Li, Chunlei 2 Li, Nian 2 Markin, Nadya 2 Mishra, Prasanna Raghaw 2 Pasalic, Enes 2 Perrin, Léo 2 Rifà, Josep 2 Shuai, Li 2 Sun, Guanghong 2 Wang, Qichun 2 Yoshiara, Satoshi 1 Alsalami, Yousuf 1 Biryukov, Alex 1 Blondeau, Celine 1 Bluher, Antonia Wilson 1 Borges, Joaquim 1 Brinkmann, Marcus 1 Canteaut, Anne 1 Cohen, Gérard Denis 1 Dai, Qingping 1 Ding, Cunsheng 1 Dong, Deshuai 1 Edel, Yves 1 Fu, Shaojing 1 Gagola, Stephen M. III 1 Gangopadhyay, Sugata 1 Giulietti, Massimo 1 Göloğlu, Faruk 1 Hall, Joanne L. 1 Han, Songchol 1 Horadam, Kathy J. 1 Hou, Xiang-Dong 1 Hyun, Jong-Yoon 1 Idrisova, Valeriya 1 Jha, Vikram 1 Jia, Wenjie 1 Kantor, William M. 1 Keren, Osnat 1 Kim, Kwang Ho 1 Kim, Kwangyon 1 Kim, Ryul 1 Kong, Zhiyin 1 Kuroda, Masamichi 1 Kutsenko, A. V. 1 Kwon, Soonhak 1 Lee, Yoonjin 1 Li, Miao 1 Li, Shuxing 1 Li, Weicong 1 Ling, San 1 Liu, Feng ...and 54 more Authors all top 5 Cited in 35 Serials 31 Finite Fields and their Applications 28 Designs, Codes and Cryptography 19 Cryptography and Communications 7 Journal of Algebraic Combinatorics 6 Science China. Mathematics 5 Applicable Algebra in Engineering, Communication and Computing 3 Discrete Mathematics 3 Journal of Combinatorial Theory. Series A 3 International Journal of Foundations of Computer Science 3 Advances in Mathematics of Communications 3 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 2 Discrete Applied Mathematics 2 Journal of Mathematical Physics 2 Journal of Algebra 2 Forum Mathematicum 2 Mathematical Problems in Engineering 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Problems of Information Transmission 1 Information Sciences 1 Journal of Geometry 1 Ricerche di Matematica 1 European Journal of Combinatorics 1 Note di Matematica 1 Discrete Mathematics and Applications 1 International Journal of Computer Mathematics 1 Journal of Knot Theory and its Ramifications 1 Journal of Combinatorial Designs 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Advances in Geometry 1 Journal of the Australian Mathematical Society 1 Journal of Systems Science and Complexity 1 AKCE International Journal of Graphs and Combinatorics 1 Asian-European Journal of Mathematics 1 Science China. Information Sciences all top 5 Cited in 14 Fields 103 Information and communication theory, circuits (94-XX) 87 Number theory (11-XX) 36 Field theory and polynomials (12-XX) 27 Geometry (51-XX) 26 Order, lattices, ordered algebraic structures (06-XX) 24 Combinatorics (05-XX) 10 Group theory and generalizations (20-XX) 8 Algebraic geometry (14-XX) 4 Computer science (68-XX) 3 Nonassociative rings and algebras (17-XX) 2 Commutative algebra (13-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) Citations by Year