An infinite class of quadratic APN functions which are not equivalent to power mappings. - Lilya Budaghyan; Claude Carlet; Patrick Felke; Gregor Leander (IACR Cryptol. ePrint Arch., 2005)

Another class of quadratic APN binomials over F2n: the case n divisible by 4. - Lilya Budaghyan; Claude Carlet; Gregor Leander (IACR Cryptol. ePrint Arch., 2006)

A class of quadratic APN binomials inequivalent to power functions. - Lilya Budaghyan; Claude Carlet; Gregor Leander (IACR Cryptol. ePrint Arch., 2006)

New classes of almost bent and almost perfect nonlinear polynomials. - Lilya Budaghyan; Claude Carlet; Alexander Pott (IEEE Trans. Inf. Theory, 2006)

The simplest method for constructing APN polynomials EA-inequivalent to power functions. - Lilya Budaghyan (IACR Cryptol. ePrint Arch., 2007)

New Perfect Nonlinear Multinomials over Ffor Any Odd Prime p. - Lilya Budaghyan; Tor Helleseth (SETA, 2008)

Classes of Quadratic APN Trinomials and Hexanomials and Related Structures. - Lilya Budaghyan; Claude Carlet (IEEE Trans. Inf. Theory, 2008)

Two Classes of Quadratic APN Binomials Inequivalent to Power Functions. - Lilya Budaghyan; Claude Carlet; Gregor Leander (IEEE Trans. Inf. Theory, 2008)

On differential uniformity and nonlinearity of functions. - Lilya Budaghyan; Alexander Pott (Discret. Math., 2009)

Constructing new APN functions from known ones. - Lilya Budaghyan; Claude Carlet; Gregor Leander (Finite Fields Their Appl., 2009)

On CCZ-equivalence and its use in secondary constructions of bent functions. - Lilya Budaghyan; Claude Carlet (IACR Cryptol. ePrint Arch., 2009)

CCZ-equivalence and Boolean functions. - Lilya Budaghyan; Claude Carlet (IACR Cryptol. ePrint Arch., 2009)

New commutative semifields defined by PN multinomials. - Lilya Budaghyan; Tor Helleseth (IACR Cryptol. ePrint Arch., 2009)

On bent functions associated to AB functions. - Lilya Budaghyan; Claude Carlet; Tor Helleseth (ITW, 2011)

New commutative semifields defined by new PN multinomials. - Lilya Budaghyan; Tor Helleseth (Cryptogr. Commun., 2011)

CCZ-equivalence of bent vectorial functions and related constructions. - Lilya Budaghyan; Claude Carlet (Des. Codes Cryptogr., 2011)

On Isotopisms of Commutative presemifields and CCZ-Equivalence of Functions. - Lilya Budaghyan; Tor Helleseth (Int. J. Found. Comput. Sci., 2011)

Generalized bent functions and their relation to Maiorana-McFarland class. - Lilya Budaghyan; Claude Carlet; Tor Helleseth; Alexander Kholosha (ISIT, 2012)

Verification of Restricted EA-Equivalence for Vectorial Boolean Functions. - Lilya Budaghyan; Oleksandr Kazymyrov (WAIFI, 2012)

Further Results on Niho Bent Functions. - Lilya Budaghyan; Claude Carlet; Tor Helleseth; Alexander Kholosha; Sihem Mesnager (IEEE Trans. Inf. Theory, 2012)

Construction and Analysis of Cryptographic Functions - Lilya Budaghyan (Springer, 2014)

Niho bent functions from quadratic o-monomials. - Lilya Budaghyan; Alexander Kholosha; Claude Carlet; Tor Helleseth (ISIT, 2014)

On o-Equivalence of Niho Bent Functions. - Lilya Budaghyan; Claude Carlet; Tor Helleseth; Alexander Kholosha (WAIFI, 2014)

Editorial: special issue on coding and cryptography. - Lilya Budaghyan; Tor Helleseth; Matthew Geoffrey Parker (Des. Codes Cryptogr., 2014)

Editorial: Special issue on Boolean functions and their applications. - Lilya Budaghyan; Tor Helleseth; Alexander Kholosha (Cryptogr. Commun., 2016)

On the (non-)existence of APN (n, n)-functions of algebraic degree n. - Lilya Budaghyan; Claude Carlet; Tor Helleseth; Nian Li (IACR Cryptol. ePrint Arch., 2016)

Some Results on the Known Classes of Quadratic APN Functions. - Lilya Budaghyan; Tor Helleseth; Nian Li; Bo Sun 005 (IACR Cryptol. ePrint Arch., 2016)

Univariate Niho Bent Functions From o-Polynomials. - Lilya Budaghyan; Alexander Kholosha; Claude Carlet; Tor Helleseth (IEEE Trans. Inf. Theory, 2016)

Changing Points in APN Functions. - Lilya Budaghyan; Claude Carlet; Tor Helleseth; Nikolay S. Kaleyski (IACR Cryptol. ePrint Arch., 2018)

On Upper Bounds for Algebraic Degrees of APN Functions. - Lilya Budaghyan; Claude Carlet; Tor Helleseth; Nian Li; Bo Sun 005 (IEEE Trans. Inf. Theory, 2018)

On Isotopic Shift Construction for Planar Functions. - Lilya Budaghyan; Marco Calderini; Claude Carlet; Robert S. Coulter; Irene Villa (ISIT, 2019)

Editorial: Special Issue on Boolean functions and their applications. - Lilya Budaghyan; Claude Carlet; Tor Helleseth (Cryptogr. Commun., 2019)

Editorial: Special issue on Boolean functions and their applications 2018. - Lilya Budaghyan; Claude Carlet; Tor Helleseth (Cryptogr. Commun., 2019)

Editorial: Special Issue on Mathematical Methods for Cryptography. - Lilya Budaghyan; Chunlei Li 001; Matthew Geoffrey Parker (Cryptogr. Commun., 2019)

Classification of quadratic APN functions with coefficients in GF(2) for dimensions up to 9. - Yuyin Yu; Nikolay S. Kaleyski; Lilya Budaghyan; Yongqiang Li 001 (IACR Cryptol. ePrint Arch., 2019)

On relations between CCZ- and EA-equivalences. - Lilya Budaghyan; Marco Calderini; Irene Villa (Cryptogr. Commun., 2020)

Editorial: Special issue on Boolean functions and their applications. - Lilya Budaghyan; Tor Helleseth (Cryptogr. Commun., 2020)

Partially APN Boolean functions and classes of functions that are not APN infinitely often. - Lilya Budaghyan; Nikolay S. Kaleyski; Soonhak Kwon; Constanza Riera; Pantelimon Stanica (Cryptogr. Commun., 2020)

Partially APN functions with APN-like polynomial representations. - Lilya Budaghyan; Nikolay S. Kaleyski; Constanza Riera; Pantelimon Stanica (Des. Codes Cryptogr., 2020)

On equivalence between known families of quadratic APN functions. - Lilya Budaghyan; Marco Calderini; Irene Villa (Finite Fields Their Appl., 2020)

Classification of quadratic APN functions with coefficients in F2 for dimensions up to 9. - Yuyin Yu; Nikolay S. Kaleyski; Lilya Budaghyan; Yongqiang Li 001 (Finite Fields Their Appl., 2020)

On the sensitivity of some APN permutations to swapping points. - Lilya Budaghyan; Nikolay S. Kaleyski; Constanza Riera; Pantelimon Stanica (IACR Cryptol. ePrint Arch., 2020)

On known constructions of APN and AB functions and their relation to each other. - Marco Calderini; Lilya Budaghyan; Claude Carlet (IACR Cryptol. ePrint Arch., 2020)

Constructing APN Functions Through Isotopic Shifts. - Lilya Budaghyan; Marco Calderini; Claude Carlet; Robert S. Coulter; Irene Villa (IEEE Trans. Inf. Theory, 2020)

On the Distance Between APN Functions. - Lilya Budaghyan; Claude Carlet; Tor Helleseth; Nikolay S. Kaleyski (IEEE Trans. Inf. Theory, 2020)

A New Family of APN Quadrinomials. - Lilya Budaghyan; Tor Helleseth; Nikolay S. Kaleyski (IEEE Trans. Inf. Theory, 2020)

Editorial: Special issue on Boolean functions and their applications 2020. - Lilya Budaghyan; Claude Carlet; Tor Helleseth; Kaisa Nyberg (Cryptogr. Commun., 2021)

Generalized isotopic shift construction for APN functions. - Lilya Budaghyan; Marco Calderini; Claude Carlet; Robert S. Coulter; Irene Villa (Des. Codes Cryptogr., 2021)

Relation between o-equivalence and EA-equivalence for Niho bent functions. - Diana Davidova; Lilya Budaghyan; Claude Carlet; Tor Helleseth; Ferdinand Ihringer; Tim Penttila (Finite Fields Their Appl., 2021)

Decomposition of Dillon's APN Permutation with Efficient Hardware Implementation. - José Luis Imaña; Lilya Budaghyan; Nikolay S. Kaleyski (WAIFI, 2022)

Editorial: Special issue on Boolean functions and their applications 2021. - Lilya Budaghyan; Claude Carlet; Cunsheng Ding; Tor Helleseth (Cryptogr. Commun., 2022)

On the behavior of some APN permutations under swapping points. - Lilya Budaghyan; Nikolay S. Kaleyski; Constanza Riera; Pantelimon Stanica (Cryptogr. Commun., 2022)

An overview of the Eight International Olympiad in Cryptography "Non-Stop University CRYPTO". - Anastasiya Gorodilova; Natalia N. Tokareva; Sergey Agievich; Ilya Beterov; Tim Beyne; Lilya Budaghyan; Claude Carlet; Siemen Dhooghe; Valeria Idrisova; Nikolay Kolomeec; Aleksandr Kutsenko; Ekaterina Malygina; et al. (CoRR, 2022)

On Two Fundamental Problems on APN Power Functions. - Lilya Budaghyan; Marco Calderini; Claude Carlet; Diana Davidova; Nikolay S. Kaleyski (IEEE Trans. Inf. Theory, 2022)

Triplicate functions. - Lilya Budaghyan; Ivana Ivkovic; Nikolay S. Kaleyski (Cryptogr. Commun., 2023)

ARITHMETIZATION-ORIENTED APN FUNCTIONS. - Lilya Budaghyan; Mohit Pal (IACR Cryptol. ePrint Arch., 2023)

Hardware architecture of Dillon's APN permutation for different primitive polynomials. - José Luis Imaña; Nikolay S. Kaleyski; Lilya Budaghyan (Microprocess. Microsystems, 2023)

An Optimal Universal Construction for the Threshold Implementation of Bijective S-Boxes. - Enrico Piccione; Samuele Andreoli; Lilya Budaghyan; Claude Carlet; Siemen Dhooghe; Svetla Nikova; George Petrides; Vincent Rijmen (IEEE Trans. Inf. Theory, 2023)

Editorial: Special issue on Boolean functions and their applications 2022. - Lilya Budaghyan; Claude Carlet; Tor Helleseth; Wilfried Meidl (Cryptogr. Commun., 2023)

Editorial: Special issue on Boolean functions and their applications 2023. - Lilya Budaghyan; Claude Carlet; Tor Helleseth; Nikolay S. Kaleyski; Sihem Mesnager (Cryptogr. Commun., 2024)

Low-Complexity Hardware Architecture of APN Permutations Using TU-Decomposition. - Lilya Budaghyan; José Luis Imaña; Nikolay S. Kaleyski (IEEE Trans. Circuits Syst. I Regul. Pap., 2024)

Arithmetization-oriented APN permutations. - Lilya Budaghyan; Mohit Pal (Des. Codes Cryptogr., 2025)

On a classification of planar functions in characteristic three. - Samuele Andreoli; Lilya Budaghyan; Robert S. Coulter; Alise Haukenes; Nikolay S. Kaleyski; Enrico Piccione (Cryptogr. Commun., 2025)

On Decompositions of Permutations in Quadratic Functions. - Samuele Andreoli; Enrico Piccione; Lilya Budaghyan; Pantelimon Stanica; Svetla Nikova (J. Cryptol., 2025)