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  • E-mailLilya.Budaghyan@uib.no
  • Phone+47 55 58 42 87+47 930 71 879
  • Visitor Address
    HIB - Thormøhlensgt. 55
    Room 
    5165
  • Postal Address
    Postboks 7803
    5020 Bergen

Prof. Lilya Budaghyan is a head of Selmer Center in Secure Communication at the University of Bergen and a leader of Boolean functions research team there.

Her main research interests are in the field of Boolean functions and their applications.

She obtained her PhD degree from the University of Magdeburg (Germany, 2005) and habilitation degree from the University of Paris VIII (France, 2013).

She is author of the book "Construction and Analysis of Cryptographic Functions", and has been awarded a few prestigious fellowships and awards among which are Bergen Research Foundation award (2016), “Young Research Talent Grant” from Norwegian Research Council (2014), postdoctoral fellowship award from Foundation of Mathematical Sciences of Paris (2012) and Emil Artin Junior Prize in Mathematics (2011).

Since 2007 she has been with the University of Bergen (Norway). Previously, she also conducted her research at the Yerevan State University (Armenia, 1998-2003), University of Magdeburg (Germany, 2003-2005), University of Trento (Italy, 2005-2007), Telecom ParisTech (2011), Universities of Paris VIII and Paris XIII (2012-2013).

Academic article
  • 2020. Partially APN functions with APN-like polynomial representations. Designs, Codes and Cryptography. 1159-1177.
  • 2020. On equivalence between known families of quadratic APN functions. Finite Fields and Their Applications.
  • 2019. Special issue on Boolean Functions and Their applications. Cryptography and Communications. 1145-1146.
  • 2019. Special Issue on Mathematical Methods for Cryptography. Cryptography and Communications. 363-365.
  • 2019. Partially APN Boolean functions and classes of functions that are not APN infinitely often. Cryptography and Communications. 1-19.
  • 2019. On relations between CCZ- and EA-equivalences. Cryptography and Communications. 85-100.
  • 2018. On Upper Bounds for Algebraic Degrees of APN Functions. IEEE Transactions on Information Theory. 4399-4411.
  • 2016. Univariate niho bent functions from o-polynomials. IEEE Transactions on Information Theory. 2254-2265.
  • 2016. On the (non-)existence of APN (n, n)-functions of algebraic degree n. IEEE International Symposium on Information Theory. Proceedings. 480-484.
  • 2015. On o-equivalence of Niho bent functions. Lecture Notes in Computer Science (LNCS). 155-168.
  • 2012. Verification of Restricted EA-Equivalence for Vectorial Boolean Functions. Lecture Notes in Computer Science (LNCS). 108-118.
  • 2012. Generalized bent functions and their relation to Maiorana-McFarland class. IEEE International Symposium on Information Theory. Proceedings. 4 pages.
  • 2012. Further results on Niho bent functions. IEEE Transactions on Information Theory. 6979-6985.
  • 2011. ON ISOTOPISMS OF COMMUTATIVE PRESEMIFIELDS AND CCZ-EQUIVALENCE OF FUNCTIONS. International Journal of Foundations of Computer Science. 1243-1258.
  • 2011. New commutative semifields defined by new PN multinomials. Cryptography and Communications. 1-16.
  • 2011. CCZ-equivalence of bent vectorial functions and related constructions. Designs, Codes and Cryptography. 69-87.
  • 2010. Planar functions and commutative semifields. Tatra Mountains Mathematical Publications. 15-25.
  • 2010. CCZ-equivalence of single and multi output Boolean functions. Contemporary Mathematics. 43-54.
  • 2009. On differential uniformity and nonlinearity of functions. Discrete Mathematics. 371-384.
  • 2009. Constructing new APN functions from known ones. Finite Fields and Their Applications. 150-159.
  • 2008. Two classes of quadratic APN binomials inequivalent to power functions. IEEE Transactions on Information Theory. 4218-4229.
  • 2008. New perfect nonlinear multinomials over F_p^{2k}}for any odd prime p. Lecture Notes in Computer Science (LNCS). 403-414.
  • 2008. Classes of quadratic APN trinomials and hexanomials and related structures. IEEE Transactions on Information Theory. 2354-2357.
Academic lecture
  • 2018. Partially APN Boolean functions.
Editorial
  • 2019. Special issue on Boolean functions and their applications 2018. Cryptography and Communications.
  • 2019. Editorial: Special issue on Boolean functions and their applications 2018. Cryptography and Communications.
  • 2016. Editorial: Special issue on Boolean functions and their applications. Cryptography and Communications. 173-174.
  • 2014. Editorial: Special issue on coding and cryptography. Designs, Codes and Cryptography. 269.
Academic anthology/Conference proceedings
  • 2013. Preproceedings, The International Workshop on Coding and Cryptography WCC 2013. Universitetet i Bergen.
Academic monograph
  • 2018. The Equivalence of APN and AB Functions and Their Generalizations.
Doctoral dissertation
  • 2018. On Classification and Some Properties of APN Functions.
Academic chapter/article/Conference paper
  • 2019. On Isotopic Shift Construction for Planar Functions. 5 pages.
  • 2017. Some Results on the Known Classes of Quadratic APN Functions. 14 pages.
  • 2012. Generalized bent functions and their relation to Maiorana-McFarland class. 4 pages.
  • 2011. On bent functions associated to AB functions. 5 pages.

More information in national current research information system (CRIStin)

  • Member of Norwegian Academy of Technological Sciences
  • Member of a steering committee of WAIFI – the Int. Workshop on the Arithmetic of Finite Fields
  • Member of the editorial board of the Int. Journal “Cryptography and Communications” (Springer)
  • General chair and invited speaker of the International Workshop on Boolean Functions and Their Applications, BFA 2019, Florence, Italy, June 2019
  • Invited speaker of COINS Research School of Computer and Information Security, Finse, Norway, May 2019
  • Guest editor of the International Journal “Cryptography and Communications” (Springer) 2018/2019 for the Special Issue on Boolean Functions and Their Applications 2018
  • Member of program committee of the International Workshop on Coding and Cryptography WCC 2019, Saint-Jacut-de-la-Mer, France, April 2019
  • Member of program committee of the Third International Conference “Codes, Cryptology and Information Security” C2SI 2019, Rabat, Morocco, April 2019
  • General and program co-chair of the International Workshop on the Arithmetic of Finite Fields, WAIFI 2018, Bergen, Norway, June 2018
  • Organizer of the International Workshop on Boolean Functions and Their Applications, BFA 2018, Loen, Norway, June 2018
  • Member of program committee of NSUCRYPTO - International Students' Olympiad in Cryptography
  • Member of program committee of the International Conference on Sequences and Their Applications SETA 2018, Hong Kong, Oct. 2018
  • Member of organizing committee and an invited speaker of the Emil Artin International Conference, 2018, Yerevan, Armenia, May 2018
  • Guest editor of the International Journal “Cryptography and Communications” (Springer) 2017/2018 for the Special Issue on Boolean Functions and Their Applications
  • Guest editor of the International Journal “Cryptography and Communications” (Springer) 2017/2018 for the Special Issue on Mathematical Methods for Cryptography
  • Co-organizer of the International Workshop on Mathematical Methods for Cryptography, Lofoten, Norway, Sept. 2017
  • Organizer of the International Workshop on Boolean Functions and Their Applications, BFA 2017, Solstrand, Norway, July 2017
  • Member of program committee of the International Workshop on Coding and Cryptography WCC 2017, Saint Petersburg, Russia, Sept. 2017
  • Member of program committee of the Second International Conference “Codes, Cryptology and Information Security” C2SI 2017, Rabat, Morocco, April 2017
  • Invited talk at the third Information Security and Protection of Information Technologies workshop, ISPIT-2017, St Petersburg, Russia, Apr. 2017
  • Invited talk at the second Information Security and Protection of Information Technologies workshop, ISPIT-2016, St Petersburg, Russia, Apr. 2016
  • Member of program committee of the 9th Norwegian Information Security Conference, NISK 2016, Bergen, Norway
  • Guest editor of the International Journal “Cryptography and Communications” (Springer) 2014/2015 for the Special Issue on Boolean Functions and Their Applications
  • Guest editor of the International Journal “Designs, Codes and Cryptography” (Springer) 2013/2014 for the Special Issue on Coding and Cryptography
  • Organizer of the International Workshop on Boolean Functions and Their Applications, BFA 2014, Rosendal, Norway, Sept. 2014
  • Program co-chair of International Workshop on Coding and Cryptography WCC 2013, Bergen, Norway, 15-19 April 2013
  • Organizer of the Workshop of Cryptography and Security, Bergen, Norway, 18-19 Nov. 2010
  • Member of program committee of the International Conference on SEquences and Their Applications SETA 2010, Paris, France, 12-17 Sept. 2010
  • Member of program committee of International Workshop on Coding and Cryptography WCC 2009, Ullensvang, Norway, 10-15 May 2009
  • Project of Russia Program at Norwegian Center for International Cooperation in Education “Development of a new joint educational program in Information Security and Cryptography at the UiB and Novosibirsk State University” with N.Tokareva for period 02.2019 - 02.2021 (0.3M NOK).
     
  • Eurasia 2017 Project Development Funding Grant for “Development of Education in Computer Science and Applied Mathematics in Armenia” with Yu.Movsisyan and G.Khachatrian for period 10.2017 - 12.2017 (50K NOK).
     
  • Trond Mohn Foundation Recruitment Program Grant for “Optimal Boolean Functions” project for period 05.2017 - 04.2021 (23.5M NOK).
     
  • "Young research talent grant" from Norwegian Research Council for “Discrete Functions and There Applications in Cryptography and Mathematics” for period 09.2014 - 09.2018 (7 M NOK)