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2023
1 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Meidl, Wilfried.
Editorial: Special issue on Boolean functions and their applications, 2022. Cryptography and Communications 2023
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2 Imaña, José L.; Kaleyski, Nikolay Stoyanov; Budaghyan, Lilya.
Hardware architecture of Dillon's APN permutation for different primitive polynomials. Microprocessors and Microsystems: Embedded Hardware Design (MICPRO) 2023 ;Volum 103. s. -
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3 Piccione, Enrico; Andreoli, Samuele; Budaghyan, Lilya; Carlet, Claude Michael; Dhooghe, Siemen; Petkova-Nikova, Svetla Iordanova; Petrides, George; Rijmen, Vincent Stefaan.
An Optimal Universal Construction for the Threshold Implementation of Bijective S-Boxes. IEEE Transactions on Information Theory 2023 ;Volum 69.(10) s. 6700-6710
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2022
4 Budaghyan, Lilya; Calderini, Marco; Carlet, Claude Michael; Davidova, Diana; Kaleyski, Nikolay Stoyanov.
On Two Fundamental Problems on APN Power Functions. IEEE Transactions on Information Theory 2022 ;Volum 68.(5) s. 3389-3403
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5 Budaghyan, Lilya; Carlet, Claude Michael; Ding, Cunsheng; Helleseth, Tor.
Editorial: Special issue on Boolean functions and their applications 2021: This special issue is dedicated to the 50th birthday of Vincent Rijmen. Cryptography and Communications 2022 ;Volum 14.(6) s. 1207-1209
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6 Budaghyan, Lilya; Ivkovic, Ivana; Kaleyski, Nikolay Stoyanov.
Triplicate functions. Cryptography and Communications 2022 ;Volum 15. s. 35-83
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7 Gorodilova, A.A.; Tokareva, N.N.; Agievich, S.V.; Beterov, I.I.; Beyne, T.; Budaghyan, Lilya; Carlet, Claude Michael; Dhooghe, S.; Idrisova, V.A.; Kolomeec, N.A.; Kutsenko, A.V.; Malygina, E.S.; Mouha, N.; Pudovkina, M.A.; Sica, F.; Udovenko, A.N..
An overview of the Eight International Olympiad in Cryptography "Non-Stop University CRYPTO". Sibirskie Elektronnye Matematicheskie Izvestiya 2022 ;Volum 19.(1) s. 9-37
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2021
8 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Nyberg, Kaisa.
Editorial: Special issue on Boolean functions and their applications 2020. Cryptography and Communications 2021 s. -
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9 ; Kaleyski, Nikolay Stoyanov.
Towards a deeper understanding of APN functions and related longstanding problems. Universitetet i Bergen 2021
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10 Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Riera, Constanza Susana; Stanica, Pantelimon.
On the behavior of some APN permutations under swapping points. Cryptography and Communications 2021 ;Volum 14. s. 319-345
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11 Calderini, Marco; Budaghyan, Lilya; Carlet, Claude Michael.
On Known Constructions of APN and AB Functions and their Relation to Each Other. Rad Hrvatske akademije znanosti i umjetnosti: Matematičke znanosti 2021 ;Volum 25. s. 79-105
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12 Davidova, Diana; Budaghyan, Lilya; Carlet, Claude Michael; Helleseth, Tor; Ihringer, Ferdinand; Penttila, Tim.
Relation between o-equivalence and EA-equivalence for Niho bent functions. Finite Fields and Their Applications 2021 ;Volum 72. s. -
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2020
13 Budaghyan, Lilya; Calderini, Marco; Carlet, Claude Michael; Coulter, Robert; Villa, Irene.
Constructing APN functions through isotopic shifts. IEEE Transactions on Information Theory 2020 ;Volum 66. s. 5299-5309
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14 Budaghyan, Lilya; Calderini, Marco; Carlet, Claude Michael; Coulter, Robert; Villa, Irene.
Generalized isotopic shift construction for APN functions. Designs, Codes and Cryptography 2020 ;Volum 89. s. 19-32
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15 Budaghyan, Lilya; Calderini, Marco; Villa, Irene.
On equivalence between known families of quadratic APN functions. Finite Fields and Their Applications 2020 ;Volum 66. s. -
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16 Budaghyan, Lilya; Carlet, Claude Michael; Helleseth, Tor; Kaleyski, Nikolay Stoyanov.
On the Distance Between APN Functions. IEEE Transactions on Information Theory 2020 ;Volum 66.(9) s. 5742-5753
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17 Budaghyan, Lilya; Helleseth, Tor; Kaleyski, Nikolay Stoyanov.
A New Family of APN Quadrinomials. IEEE Transactions on Information Theory 2020 ;Volum 66.(11) s. 7081-7087
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18 Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Riera, Constanza Susana; Stanica, Pantelimon.
On the sensitivity of some permutation APN functions to swapping points. Sequences and Their Applications 2020; 2020-09-22 - 2020-09-25
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19 Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Riera, Constanza Susana; Stănică, Pantelimon.
Partially APN functions with APN-like polynomial representations. Designs, Codes and Cryptography 2020 ;Volum 88.(6) s. 1159-1177
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20 Yu, Yuyin; Kaleyski, Nikolay Stoyanov; Budaghyan, Lilya; Li, Yongqiang.
Classification of quadratic APN functions with coefficients in F2 for dimensions up to 9. Finite Fields and Their Applications 2020 ;Volum 68. s. -
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2019
21 Budaghyan, Lilya; Calderini, Marco; Carlet, Claude; Coulter, Robert; Villa, Irene.
On Isotopic Shift Construction for Planar Functions. I: 2019 IEEE International Symposium on Information Theory (ISIT). IEEE 2019 ISBN 978-1-5386-9291-2. s. 2962-2966
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22 Budaghyan, Lilya; Calderini, Marco; Villa, Irene.
On relations between CCZ- and EA-equivalences. Cryptography and Communications 2019 ;Volum 12. s. 85-100
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23 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor.
Editorial: Special Issue on Boolean functions and their applications. Cryptography and Communications 2019 ;Volum 11.(1) s. 1-2
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24 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor.
Editorial: Special issue on Boolean functions and their applications 2018. Cryptography and Communications 2019 ;Volum 11.(6) s. 1145-1146
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25 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor.
Special issue on Boolean functions and their applications 2018. Cryptography and Communications 2019
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26 Budaghyan, Lilya; Carlet, Claude Michael; Helleseth, Tor.
Special issue on Boolean Functions and Their applications. Cryptography and Communications 2019 ;Volum 11. s. 1145-1146
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27 Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Kwon, Soonhak; Riera, Constanza Susana; Stănică, Pantelimon.
Partially APN Boolean functions and classes of functions that are not APN infinitely often. Cryptography and Communications 2019 s. 1-19
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28 Budaghyan, Lilya; Li, Chunlei; Parker, Matthew Geoffrey.
Special Issue on Mathematical Methods for Cryptography. Cryptography and Communications 2019 ;Volum 11.(3) s. 363-365
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2018
29 Budaghyan, Lilya.
The Equivalence of APN and AB Functions and Their Generalizations. : Scholars' Press 2018 (ISBN 978-620-2-31149-6) 92 s.
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30 Budaghyan, Lilya; Carlet, Claude Michael; Helleseth, Tor; Li, Nian; Sun, Bo.
On Upper Bounds for Algebraic Degrees of APN Functions. IEEE Transactions on Information Theory 2018 ;Volum 64.(6) s. 4399-4411
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31 Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Kwon, Soonhak; Riera, Constanza Susana; Stanica, Pantelimon.
Partially APN Boolean functions. Sequences and Their Applications (SETA 2018); 2018-08-01 - 2018-08-06
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32 Sun, Bo.
On Classification and Some Properties of APN Functions. : University of Bergen 2018 (ISBN 978-82-308-3708-5)
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2017
33 Budaghyan, Lilya; Helleseth, Tor; Li, Nian; Sun, Bo.
Some Results on the Known Classes of Quadratic APN Functions. I: Codes, Cryptology and Information Security. Springer 2017 ISBN 978-3-319-55589-8. s. 3-16
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2016
34 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Li, Nian.
On the (non-)existence of APN (n, n)-functions of algebraic degree n. IEEE International Symposium on Information Theory. Proceedings 2016 ;Volum 2016-August. s. 480-484
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35 Budaghyan, Lilya; Helleseth, Tor; Kholosa, Alexander.
Editorial: Special issue on Boolean functions and their applications. Cryptography and Communications 2016 ;Volum 8.(2) s. 173-174
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36 Budaghyan, Lilya; Kholosa, Alexander; Carlet, Claude; Helleseth, Tor.
Univariate niho bent functions from o-polynomials. IEEE Transactions on Information Theory 2016 ;Volum 62.(4) s. 2254-2265
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2015
37 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosa, Alexander.
On o-equivalence of Niho bent functions. Lecture Notes in Computer Science (LNCS) 2015 ;Volum 9061. s. 155-168
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2014
38 Budaghyan, Lilya; Helleseth, Tor; Parker, Matthew Geoffrey.
Editorial: Special issue on coding and cryptography. Designs, Codes and Cryptography 2014 ;Volum 73.(2) s. 269-
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2013
39 Budaghyan, Lilya; Helleseth, Tor; Parker, Matthew Geoffrey.
Preproceedings, The International Workshop on Coding and Cryptography WCC 2013. Universitetet i Bergen 2013 (ISBN 978-82-308-2269-2) 576 s.
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2012
40 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosa, Alexander.
Generalized bent functions and their relation to Maiorana-McFarland class. IEEE International Symposium on Information Theory. Proceedings 2012 s. -
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41 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosa, Alexander.
Generalized bent functions and their relation to Maiorana-McFarland class. I: Proceedings of 2012 IEEE International Symposium on Information Theory. IEEE conference proceedings 2012 ISBN 978-1-4673-2578-3. s. 1217-1220
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42 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosa, Alexander; Mesnager, Sihem.
Further results on Niho bent functions. IEEE Transactions on Information Theory 2012 ;Volum 58.(11) s. 6979-6985
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43 Budaghyan, Lilya; Kazymyrov, Oleksandr.
Verification of Restricted EA-Equivalence for Vectorial Boolean Functions. Lecture Notes in Computer Science (LNCS) 2012 (7369) s. 108-118
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2011
44 Budaghyan, Lilya; Carlet, Claude.
CCZ-equivalence of bent vectorial functions and related constructions. Designs, Codes and Cryptography 2011 ;Volum 59.(1-3) s. 69-87
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45 Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor.
On bent functions associated to AB functions. I: Proceedings of IEEE Information Theory Workshop 2011. IEEE Press 2011 ISBN 978-1-4577-0438-3. s. 150-154
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46 Budaghyan, Lilya; Helleseth, Tor.
New commutative semifields defined by new PN multinomials. Cryptography and Communications 2011 ;Volum 3.(1) s. 1-16
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47 Budaghyan, Lilya; Helleseth, Tor.
ON ISOTOPISMS OF COMMUTATIVE PRESEMIFIELDS AND CCZ-EQUIVALENCE OF FUNCTIONS. International Journal of Foundations of Computer Science 2011 ;Volum 22.(6) s. 1243-1258
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2010
48 Budaghyan, Lilya; Carlet, Claude.
CCZ-equivalence of single and multi output Boolean functions. Contemporary Mathematics 2010 ;Volum 518. s. 43-54
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49 Budaghyan, Lilya; Helleseth, Tor.
Planar functions and commutative semifields. Tatra Mountains Mathematical Publications 2010 ;Volum 45. s. 15-25
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2009
50 Budaghyan, Lilya; Carlet, Claude; Leander, Gregor.
Constructing new APN functions from known ones. Finite Fields and Their Applications 2009 ;Volum 15.(2) s. 150-159
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