| 2022 | WAIFI | Decomposition of Dillon's APN Permutation with Efficient Hardware Implementation. | Jos Luis Imaa, Lilya Budaghyan, Nikolay S. Kaleyski |
| 2019 | ISIT | On Isotopic Shift Construction for Planar Functions. | Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa |
| 2016 | ISIT | On the (non-)existence of APN (n, n)-functions of algebraic degree n. | Lilya Budaghyan, Claude Carlet, Tor Helleseth, Nian Li |
| 2014 | ISIT | Niho bent functions from quadratic o-monomials. | Lilya Budaghyan, Alexander Kholosha, Claude Carlet, Tor Helleseth |
| 2014 | WAIFI | On o-Equivalence of Niho Bent Functions. | Lilya Budaghyan, Claude Carlet, Tor Helleseth, Alexander Kholosha |
| 2012 | ISIT | Generalized bent functions and their relation to Maiorana-McFarland class. | Lilya Budaghyan, Claude Carlet, Tor Helleseth, Alexander Kholosha |
| 2012 | WAIFI | Verification of Restricted EA-Equivalence for Vectorial Boolean Functions. | Lilya Budaghyan, Oleksandr Kazymyrov |
| 2011 | ITW | On bent functions associated to AB functions. | Lilya Budaghyan, Claude Carlet, Tor Helleseth |
| 2008 | SETA | New Perfect Nonlinear Multinomials over Ffor Any Odd Prime p. | Lilya Budaghyan, Tor Helleseth |
| 2007 | WAIFI | The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions. | Lilya Budaghyan |
| 2006 | ISIT | An infinite class of quadratic APN functions which are not equivalent to power mappings. | Lilya Budaghyan, Claude Carlet, Patrick Felke, Gregor Leander |