Lilya Budaghyan

Orcid: 0000-0002-9214-1083

Affiliations:
  • University of Bergen, Norway


According to our database1, Lilya Budaghyan authored at least 60 papers between 2005 and 2023.

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Bibliography

2023
Editorial: Special issue on Boolean functions and their applications 2022.
Cryptogr. Commun., December, 2023

An Optimal Universal Construction for the Threshold Implementation of Bijective S-Boxes.
IEEE Trans. Inf. Theory, October, 2023

Hardware architecture of Dillon's APN permutation for different primitive polynomials.
Microprocess. Microsystems, 2023

ARITHMETIZATION-ORIENTED APN FUNCTIONS.
IACR Cryptol. ePrint Arch., 2023

On Decompositions of Permutations in Quadratic Functions.
IACR Cryptol. ePrint Arch., 2023

Triplicate functions.
Cryptogr. Commun., 2023

2022
On Two Fundamental Problems on APN Power Functions.
IEEE Trans. Inf. Theory, 2022

An overview of the Eight International Olympiad in Cryptography "Non-Stop University CRYPTO".
CoRR, 2022

On the behavior of some APN permutations under swapping points.
Cryptogr. Commun., 2022

Editorial: Special issue on Boolean functions and their applications 2021.
Cryptogr. Commun., 2022

Decomposition of Dillon's APN Permutation with Efficient Hardware Implementation.
Proceedings of the Arithmetic of Finite Fields - 9th International Workshop, 2022

2021
Relation between o-equivalence and EA-equivalence for Niho bent functions.
Finite Fields Their Appl., 2021

Generalized isotopic shift construction for APN functions.
Des. Codes Cryptogr., 2021

Editorial: Special issue on Boolean functions and their applications 2020.
Cryptogr. Commun., 2021

2020
A New Family of APN Quadrinomials.
IEEE Trans. Inf. Theory, 2020

On the Distance Between APN Functions.
IEEE Trans. Inf. Theory, 2020

Constructing APN Functions Through Isotopic Shifts.
IEEE Trans. Inf. Theory, 2020

On known constructions of APN and AB functions and their relation to each other.
IACR Cryptol. ePrint Arch., 2020

On the sensitivity of some APN permutations to swapping points.
IACR Cryptol. ePrint Arch., 2020

Classification of quadratic APN functions with coefficients in F2 for dimensions up to 9.
Finite Fields Their Appl., 2020

On equivalence between known families of quadratic APN functions.
Finite Fields Their Appl., 2020

Partially APN functions with APN-like polynomial representations.
Des. Codes Cryptogr., 2020

Partially APN Boolean functions and classes of functions that are not APN infinitely often.
Cryptogr. Commun., 2020

Editorial: Special issue on Boolean functions and their applications.
Cryptogr. Commun., 2020

On relations between CCZ- and EA-equivalences.
Cryptogr. Commun., 2020

2019
Classification of quadratic APN functions with coefficients in GF(2) for dimensions up to 9.
IACR Cryptol. ePrint Arch., 2019

Editorial: Special Issue on Mathematical Methods for Cryptography.
Cryptogr. Commun., 2019

Editorial: Special issue on Boolean functions and their applications 2018.
Cryptogr. Commun., 2019

Editorial: Special Issue on Boolean functions and their applications.
Cryptogr. Commun., 2019

On Isotopic Shift Construction for Planar Functions.
Proceedings of the IEEE International Symposium on Information Theory, 2019

2018
On Upper Bounds for Algebraic Degrees of APN Functions.
IEEE Trans. Inf. Theory, 2018

Changing Points in APN Functions.
IACR Cryptol. ePrint Arch., 2018

2016
Univariate Niho Bent Functions From o-Polynomials.
IEEE Trans. Inf. Theory, 2016

Some Results on the Known Classes of Quadratic APN Functions.
IACR Cryptol. ePrint Arch., 2016

On the (non-)existence of APN (n, n)-functions of algebraic degree n.
IACR Cryptol. ePrint Arch., 2016

Editorial: Special issue on Boolean functions and their applications.
Cryptogr. Commun., 2016

2014
Editorial: special issue on coding and cryptography.
Des. Codes Cryptogr., 2014

On o-Equivalence of Niho Bent Functions.
Proceedings of the Arithmetic of Finite Fields - 5th International Workshop, 2014

Niho bent functions from quadratic o-monomials.
Proceedings of the 2014 IEEE International Symposium on Information Theory, Honolulu, HI, USA, June 29, 2014

Construction and Analysis of Cryptographic Functions
Springer, ISBN: 978-3-319-12991-4, 2014

2012
Further Results on Niho Bent Functions.
IEEE Trans. Inf. Theory, 2012

Verification of Restricted EA-Equivalence for Vectorial Boolean Functions.
Proceedings of the Arithmetic of Finite Fields - 4th International Workshop, 2012

Generalized bent functions and their relation to Maiorana-McFarland class.
Proceedings of the 2012 IEEE International Symposium on Information Theory, 2012

2011
On Isotopisms of Commutative presemifields and CCZ-Equivalence of Functions.
Int. J. Found. Comput. Sci., 2011

CCZ-equivalence of bent vectorial functions and related constructions.
Des. Codes Cryptogr., 2011

New commutative semifields defined by new PN multinomials.
Cryptogr. Commun., 2011

On bent functions associated to AB functions.
Proceedings of the 2011 IEEE Information Theory Workshop, 2011

2009
New commutative semifields defined by PN multinomials.
IACR Cryptol. ePrint Arch., 2009

CCZ-equivalence and Boolean functions.
IACR Cryptol. ePrint Arch., 2009

On CCZ-equivalence and its use in secondary constructions of bent functions.
IACR Cryptol. ePrint Arch., 2009

Constructing new APN functions from known ones.
Finite Fields Their Appl., 2009

On differential uniformity and nonlinearity of functions.
Discret. Math., 2009

2008
Two Classes of Quadratic APN Binomials Inequivalent to Power Functions.
IEEE Trans. Inf. Theory, 2008

Classes of Quadratic APN Trinomials and Hexanomials and Related Structures.
IEEE Trans. Inf. Theory, 2008

New Perfect Nonlinear Multinomials over Ffor Any Odd Prime p.
Proceedings of the Sequences and Their Applications, 2008

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

2006
New classes of almost bent and almost perfect nonlinear polynomials.
IEEE Trans. Inf. Theory, 2006

A class of quadratic APN binomials inequivalent to power functions.
IACR Cryptol. ePrint Arch., 2006

Another class of quadratic APN binomials over F<sub>2<sup>n</sup></sub>: the case n divisible by 4.
IACR Cryptol. ePrint Arch., 2006

2005
An infinite class of quadratic APN functions which are not equivalent to power mappings.
IACR Cryptol. ePrint Arch., 2005


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