Lilya Budaghyan

Publication Activity (10 Years)

Years Active: 2005-2023
Publications (10 Years): 48

Top Topics

Boolean Functions

Mathematical Methods

Top Venues

IACR Cryptol. ePrint Arch.

Cryptogr. Commun.

IEEE Trans. Inf. Theory

Publications

Enrico Piccione, Samuele Andreoli, Lilya Budaghyan, Claude Carlet, Siemen Dhooghe, Svetla Nikova, George Petrides, Vincent Rijmen
An Optimal Universal Construction for the Threshold Implementation of Bijective S-Boxes. IEEE Trans. Inf. Theory 69 (10) (2023)
Lilya Budaghyan, Mohit Pal
ARITHMETIZATION-ORIENTED APN FUNCTIONS. IACR Cryptol. ePrint Arch. 2023 (2023)
Lilya Budaghyan, Ivana Ivkovic, Nikolay S. Kaleyski
Triplicate functions. Cryptogr. Commun. 15 (1) (2023)
José Luis Imaña, Nikolay S. Kaleyski, Lilya Budaghyan
Hardware architecture of Dillon's APN permutation for different primitive polynomials. Microprocess. Microsystems 103 (2023)
Lilya Budaghyan, Claude Carlet, Tor Helleseth, Wilfried Meidl
Editorial: Special issue on Boolean functions and their applications 2022. Cryptogr. Commun. 15 (6) (2023)
Samuele Andreoli, Enrico Piccione, Lilya Budaghyan, Pantelimon Stanica, Svetla Nikova
On Decompositions of Permutations in Quadratic Functions. IACR Cryptol. ePrint Arch. 2023 (2023)
Enrico Piccione, Samuele Andreoli, Lilya Budaghyan, Claude Carlet, Siemen Dhooghe, Svetla Nikova, George Petrides, Vincent Rijmen
An Optimal Universal Construction for the Threshold Implementation of Bijective S-boxes. IACR Cryptol. ePrint Arch. 2022 (2022)
Lilya Budaghyan, Marco Calderini, Claude Carlet, Diana Davidova, Nikolay S. Kaleyski
On Two Fundamental Problems on APN Power Functions. IEEE Trans. Inf. Theory 68 (5) (2022)
Lilya Budaghyan, Claude Carlet, Cunsheng Ding, Tor Helleseth
Editorial: Special issue on Boolean functions and their applications 2021. Cryptogr. Commun. 14 (6) (2022)
José Luis Imaña, Lilya Budaghyan, Nikolay S. Kaleyski
Decomposition of Dillon's APN Permutation with Efficient Hardware Implementation. WAIFI (2022)
Lilya Budaghyan, Nikolay S. Kaleyski, Constanza Riera, Pantelimon Stanica
On the behavior of some APN permutations under swapping points. Cryptogr. Commun. 14 (2) (2022)
Anastasiya Gorodilova, Natalia N. Tokareva, Sergey Agievich, I. Beterov, Tim Beyne, Lilya Budaghyan, Claude Carlet, Siemen Dhooghe, Valeria Idrisova, Nikolay Kolomeec, Aleksandr Kutsenko, E. Malygina, Nicky Mouha, Marina Pudovkina, F. Sica, Aleksei Udovenko
An overview of the Eight International Olympiad in Cryptography "Non-Stop University CRYPTO". CoRR (2022)
Lilya Budaghyan, Claude Carlet, Tor Helleseth, Kaisa Nyberg
Editorial: Special issue on Boolean functions and their applications 2020. Cryptogr. Commun. 13 (6) (2021)
Lilya Budaghyan, Ivana Ivkovic, Nikolay S. Kaleyski
Triplicate functions. IACR Cryptol. ePrint Arch. 2021 (2021)
Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa
Generalized isotopic shift construction for APN functions. Des. Codes Cryptogr. 89 (1) (2021)
Diana Davidova, Lilya Budaghyan, Claude Carlet, Tor Helleseth, Ferdinand Ihringer, Tim Penttila
Relation between o-equivalence and EA-equivalence for Niho bent functions. Finite Fields Their Appl. 72 (2021)
Lilya Budaghyan, Nikolay S. Kaleyski, Soonhak Kwon, Constanza Riera, Pantelimon Stanica
Partially APN Boolean functions and classes of functions that are not APN infinitely often. Cryptogr. Commun. 12 (3) (2020)
Lilya Budaghyan, Nikolay S. Kaleyski, Constanza Riera, Pantelimon Stanica
Partially APN functions with APN-like polynomial representations. Des. Codes Cryptogr. 88 (6) (2020)
Lilya Budaghyan, Tor Helleseth
Editorial: Special issue on Boolean functions and their applications. Cryptogr. Commun. 12 (5) (2020)
Yuyin Yu, Nikolay S. Kaleyski, Lilya Budaghyan, Yongqiang Li
Classification of quadratic APN functions with coefficients in F2 for dimensions up to 9. Finite Fields Their Appl. 68 (2020)
Lilya Budaghyan, Marco Calderini, Claude Carlet, Diana Davidova, Nikolay S. Kaleyski
On two fundamental problems on APN power functions. IACR Cryptol. ePrint Arch. 2020 (2020)
Lilya Budaghyan, Tor Helleseth, Nikolay S. Kaleyski
A New Family of APN Quadrinomials. IEEE Trans. Inf. Theory 66 (11) (2020)
Lilya Budaghyan, Marco Calderini, Irene Villa
On equivalence between known families of quadratic APN functions. Finite Fields Their Appl. 66 (2020)
Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa
Constructing APN Functions Through Isotopic Shifts. IEEE Trans. Inf. Theory 66 (8) (2020)
Marco Calderini, Lilya Budaghyan, Claude Carlet
On known constructions of APN and AB functions and their relation to each other. IACR Cryptol. ePrint Arch. 2020 (2020)
Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa
Generalized Isotopic Shift Construction for APN Functions. IACR Cryptol. ePrint Arch. 2020 (2020)
Lilya Budaghyan, Claude Carlet, Tor Helleseth, Nikolay S. Kaleyski
On the Distance Between APN Functions. IEEE Trans. Inf. Theory 66 (9) (2020)
Lilya Budaghyan, Nikolay S. Kaleyski, Constanza Riera, Pantelimon Stanica
On the sensitivity of some APN permutations to swapping points. IACR Cryptol. ePrint Arch. 2020 (2020)
Lilya Budaghyan, Marco Calderini, Irene Villa
On relations between CCZ- and EA-equivalences. Cryptogr. Commun. 12 (1) (2020)
Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa
On Isotopic Shift Construction for Planar Functions. ISIT (2019)
Lilya Budaghyan, Claude Carlet, Tor Helleseth
Editorial: Special issue on Boolean functions and their applications 2018. Cryptogr. Commun. 11 (6) (2019)
Diana Davidova, Lilya Budaghyan, Claude Carlet, Tor Helleseth, Ferdinand Ihringer, Tim Penttila
Relation between o-equivalence and EA-equivalence for Niho bent functions. IACR Cryptol. ePrint Arch. 2019 (2019)
Yuyin Yu, Nikolay S. Kaleyski, Lilya Budaghyan, Yongqiang Li
Classification of quadratic APN functions with coefficients in GF(2) for dimensions up to 9. IACR Cryptol. ePrint Arch. 2019 (2019)
Lilya Budaghyan, Marco Calderini, Irene Villa
On equivalence between known families of quadratic APN functions. IACR Cryptol. ePrint Arch. 2019 (2019)
Lilya Budaghyan, Claude Carlet, Tor Helleseth
Editorial: Special Issue on Boolean functions and their applications. Cryptogr. Commun. 11 (1) (2019)
Lilya Budaghyan, Nikolay S. Kaleyski, Soonhak Kwon, Constanza Riera, Pantelimon Stanica
Partially APN Boolean functions and classes of functions that are not APN infinitely often. CoRR (2019)
Lilya Budaghyan, Chunlei Li, Matthew Geoffrey Parker
Editorial: Special Issue on Mathematical Methods for Cryptography. Cryptogr. Commun. 11 (3) (2019)
Lilya Budaghyan, Tor Helleseth, Nikolay S. Kaleyski
A new family of APN quadrinomials. IACR Cryptol. ePrint Arch. 2019 (2019)
Lilya Budaghyan, Claude Carlet, Tor Helleseth, Nian Li, Bo Sun
On Upper Bounds for Algebraic Degrees of APN Functions. IEEE Trans. Inf. Theory 64 (6) (2018)
Lilya Budaghyan, Claude Carlet, Tor Helleseth, Nikolay S. Kaleyski
Changing Points in APN Functions. IACR Cryptol. ePrint Arch. 2018 (2018)
Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert S. Coulter, Irene Villa
Constructing APN functions through isotopic shifts. IACR Cryptol. ePrint Arch. 2018 (2018)
Lilya Budaghyan, Marco Calderini, Irene Villa
On relations between CCZ- and EA-equivalences. IACR Cryptol. ePrint Arch. 2018 (2018)
Lilya Budaghyan, Tor Helleseth, Nian Li, Bo Sun
Some Results on the Known Classes of Quadratic APN Functions. C2SI (2017)
Lilya Budaghyan, Alexander Kholosha, Claude Carlet, Tor Helleseth
Univariate Niho Bent Functions From o-Polynomials. IEEE Trans. Inf. Theory 62 (4) (2016)
Lilya Budaghyan, Tor Helleseth, Nian Li, Bo Sun
Some Results on the Known Classes of Quadratic APN Functions. IACR Cryptol. ePrint Arch. 2016 (2016)
Lilya Budaghyan, Claude Carlet, Tor Helleseth, Nian Li
On the (non-)existence of APN (n, n)-functions of algebraic degree n. ISIT (2016)
Lilya Budaghyan, Claude Carlet, Tor Helleseth, Nian Li
On the (non-)existence of APN (n, n)-functions of algebraic degree n. IACR Cryptol. ePrint Arch. 2016 (2016)
Lilya Budaghyan, Tor Helleseth, Alexander Kholosha
Editorial: Special issue on Boolean functions and their applications. Cryptogr. Commun. 8 (2) (2016)
Lilya Budaghyan, Alexander Kholosha, Claude Carlet, Tor Helleseth
Niho bent functions from quadratic o-monomials. ISIT (2014)
Lilya Budaghyan, Claude Carlet, Tor Helleseth, Alexander Kholosha
On o-Equivalence of Niho Bent Functions. WAIFI (2014)
Lilya Budaghyan, Tor Helleseth, Matthew Geoffrey Parker
Editorial: special issue on coding and cryptography. Des. Codes Cryptogr. 73 (2) (2014)
Lilya Budaghyan, Alexander Kholosha, Claude Carlet, Tor Helleseth
Univariate Niho Bent Functions from o-Polynomials. CoRR (2014)
Lilya Budaghyan, Claude Carlet, Tor Helleseth, Alexander Kholosha, Sihem Mesnager
Further Results on Niho Bent Functions. IEEE Trans. Inf. Theory 58 (11) (2012)
Lilya Budaghyan, Claude Carlet, Tor Helleseth, Alexander Kholosha
Generalized bent functions and their relation to Maiorana-McFarland class. ISIT (2012)
Lilya Budaghyan, Oleksandr Kazymyrov
Verification of Restricted EA-Equivalence for Vectorial Boolean Functions. WAIFI (2012)
Lilya Budaghyan, Claude Carlet, Tor Helleseth
On bent functions associated to AB functions. ITW (2011)
Lilya Budaghyan, Tor Helleseth
On Isotopisms of Commutative presemifields and CCZ-Equivalence of Functions. Int. J. Found. Comput. Sci. 22 (6) (2011)
Lilya Budaghyan, Tor Helleseth
New commutative semifields defined by new PN multinomials. Cryptogr. Commun. 3 (1) (2011)
Lilya Budaghyan, Claude Carlet
CCZ-equivalence of bent vectorial functions and related constructions. Des. Codes Cryptogr. 59 (1-3) (2011)
Lilya Budaghyan, Tor Helleseth
On isotopisms of commutative presemifields and CCZ-equivalence of functions. IACR Cryptol. ePrint Arch. 2010 (2010)
Lilya Budaghyan, Tor Helleseth
New commutative semifields defined by PN multinomials. IACR Cryptol. ePrint Arch. 2009 (2009)
Lilya Budaghyan, Alexander Pott
On differential uniformity and nonlinearity of functions. Discret. Math. 309 (2) (2009)
Lilya Budaghyan, Claude Carlet, Gregor Leander
Constructing new APN functions from known ones. Finite Fields Their Appl. 15 (2) (2009)
Lilya Budaghyan, Claude Carlet
On CCZ-equivalence and its use in secondary constructions of bent functions. IACR Cryptol. ePrint Arch. 2009 (2009)
Lilya Budaghyan, Claude Carlet
CCZ-equivalence and Boolean functions. IACR Cryptol. ePrint Arch. 2009 (2009)
Lilya Budaghyan, Claude Carlet, Gregor Leander
Two Classes of Quadratic APN Binomials Inequivalent to Power Functions. IEEE Trans. Inf. Theory 54 (9) (2008)
Lilya Budaghyan, Tor Helleseth
New Perfect Nonlinear Multinomials over Ffor Any Odd Prime p. SETA (2008)
Lilya Budaghyan, Claude Carlet
Classes of Quadratic APN Trinomials and Hexanomials and Related Structures. IEEE Trans. Inf. Theory 54 (5) (2008)
Lilya Budaghyan
The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions. WAIFI (2007)
Lilya Budaghyan, Claude Carlet, Gregor Leander
Constructing new APN functions from known ones. IACR Cryptol. ePrint Arch. 2007 (2007)
Lilya Budaghyan
The simplest method for constructing APN polynomials EA-inequivalent to power functions. IACR Cryptol. ePrint Arch. 2007 (2007)
Lilya Budaghyan, Claude Carlet
Classes of Quadratic APN Trinomials and Hexanomials and Related Structures. IACR Cryptol. ePrint Arch. 2007 (2007)
Lilya Budaghyan, Claude Carlet, Gregor Leander
A class of quadratic APN binomials inequivalent to power functions. IACR Cryptol. ePrint Arch. 2006 (2006)
Lilya Budaghyan, Claude Carlet, Gregor Leander
: the case n divisible by 4. IACR Cryptol. ePrint Arch. 2006 (2006)
Lilya Budaghyan, Claude Carlet, Alexander Pott
New classes of almost bent and almost perfect nonlinear polynomials. IEEE Trans. Inf. Theory 52 (3) (2006)
Lilya Budaghyan, Claude Carlet, Patrick Felke, Gregor Leander
An infinite class of quadratic APN functions which are not equivalent to power mappings. ISIT (2006)
Lilya Budaghyan, Claude Carlet, Patrick Felke, Gregor Leander
An infinite class of quadratic APN functions which are not equivalent to power mappings. IACR Cryptol. ePrint Arch. 2005 (2005)