- E-postlilya.budaghyan@uib.no
- Telefon+47 55 58 42 87
- BesøksadresseHIB - Thormøhlens gate 555006 Bergen
- PostadressePostboks 78035020 Bergen
- (2023). Hardware architecture of Dillon's APN permutation for different primitive polynomials. Microprocessors and Microsystems: Embedded Hardware Design (MICPRO). 10 sider.
- (2023). An Optimal Universal Construction for the Threshold Implementation of Bijective S-Boxes. IEEE Transactions on Information Theory. 6700-6710.
- (2022). Triplicate functions. Cryptography and Communications. 35-83.
- (2022). On Two Fundamental Problems on APN Power Functions. IEEE Transactions on Information Theory. 3389-3403.
- (2022). An overview of the Eight International Olympiad in Cryptography "Non-Stop University CRYPTO". Sibirskie Elektronnye Matematicheskie Izvestiya. 9-37.
- (2021). Relation between o-equivalence and EA-equivalence for Niho bent functions. Finite Fields and Their Applications. 42 sider.
- (2021). On the behavior of some APN permutations under swapping points. Cryptography and Communications. 319-345.
- (2021). On Known Constructions of APN and AB Functions and their Relation to Each Other. Rad Hrvatske akademije znanosti i umjetnosti: Matematičke znanosti. 79-105.
- (2020). Partially APN functions with APN-like polynomial representations. Designs, Codes and Cryptography. 1159-1177.
- (2020). On the Distance Between APN Functions. IEEE Transactions on Information Theory. 5742-5753.
- (2020). On equivalence between known families of quadratic APN functions. Finite Fields and Their Applications. 21 sider.
- (2020). Generalized isotopic shift construction for APN functions. Designs, Codes and Cryptography. 19-32.
- (2020). Constructing APN functions through isotopic shifts. IEEE Transactions on Information Theory. 5299-5309.
- (2020). Classification of quadratic APN functions with coefficients in F2 for dimensions up to 9. Finite Fields and Their Applications. 16 sider.
- (2020). A New Family of APN Quadrinomials. IEEE Transactions on Information Theory. 7081-7087.
- (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 sider.
- (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.
- (2020). On the sensitivity of some permutation APN functions to swapping points.
- (2018). Partially APN Boolean functions.
- (2023). Editorial: Special issue on Boolean functions and their applications, 2022. Cryptography and Communications.
- (2022). Editorial: Special issue on Boolean functions and their applications 2021: This special issue is dedicated to the 50th birthday of Vincent Rijmen. Cryptography and Communications. 1207-1209.
- (2021). Editorial: Special issue on Boolean functions and their applications 2020. Cryptography and Communications.
- (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. 1145-1146.
- (2019). Editorial: Special Issue on Boolean functions and their applications. Cryptography and Communications. 1-2.
- (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.
- (2013). Preproceedings, The International Workshop on Coding and Cryptography WCC 2013. Universitetet i Bergen.
- (2018). The Equivalence of APN and AB Functions and Their Generalizations.
- (2021). Towards a deeper understanding of APN functions and related longstanding problems.
- (2018). On Classification and Some Properties of APN Functions.
- (2019). On Isotopic Shift Construction for Planar Functions. 5 sider.
- (2017). Some Results on the Known Classes of Quadratic APN Functions. 14 sider.
- (2012). Generalized bent functions and their relation to Maiorana-McFarland class. 4 sider.
- (2011). On bent functions associated to AB functions. 5 sider.
Se fullstendig oversikt over publikasjoner i CRIStin.
Book
* L.Budaghyan. The Equivalence of AB and APN Functions and Their Generalizations. VDM verlag, 2008.
Journal and conference publications
* L.Budaghyan and C.Carlet. CCZ-equivalence of single and multi output Boolean functions. Submitted, 2009.
* L.Budaghyan and C.Carlet. CCZ-equivalence of bent vectorial functions and related constructions. Submitted, 2009.
* L.Budaghyan and T.Helleseth. New commutative semifields defined by new PN multinomials. Submitted, 2009.
* L.Budaghyan, C.Carlet, G.Leander. On a construction of quadratic APN functions. Proceedings of IEEE Information Theory Workshop, ITW'09, Taormina, Sicily, Oct. 2009.
* L.Budaghyan and T.Helleseth. On commutative semifields of a family of planar functions. Proceedings of International Conference on Computer Science and Information Technologies 2009, Yerevan, Armenia, Sept. 2009.
* L.Budaghyan and C.Carlet. CCZ-equivalence and Boolean functions. Book of abstracts of the 9-th International Conference on Finite Fields and Their Applications, Fq'09, Dublin, July 2009.
* L.Budaghyan and C.Carlet. On CCZ-equivalence and its use in secondary constructions of bent functions. Preproceedings of WCC 2009, Ullensvang, Norway, May 2009.
* L.Budaghyan, C.Carlet, G.Leander. Constructing new APN functions from known ones. Finite Fields and Their Applications 15(2), Pages 150-159, April 2009.
* L.Budaghyan and A.Pott. On Differential Uniformity and Nonlinearity of Functions. Special Issue of Discrete Mathematics devoted to "Combinatorics 2006", 309(2), pp. 371-384, 2009.
* L.Budaghyan and T.Helleseth. New perfect nonlinear multinomials over $F_{p^{2k}}$ for any odd prime $p$. Proceedings of SETA 2008,, Lecture Notes in Computer Science 5203, pp. 403-414, Lexington, USA, Sep. 2008.
* L.Budaghyan, C.Carlet, G.Leander. On inequivalence between known power APN functions. Preceedings of BFCA 2008, Copenhagen, Denmark, May 2008.
* L.Budaghyan, C.Carlet, G.Leander. Two classes of quadratic APN binomials inequivalent to power functions. IEEE Trans. Inform. Theory, 54(9), pp. 4218-4229, 2008.
* L.Budaghyan and C.Carlet. Classes of Quadratic APN Trinomials and Hexanomials and Related Structures. IEEE Trans. Inform. Theory, 54(5), pp. 2354-2357, 2008.
* L. Budaghyan. The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions. Proceedings of WAIFI 2007, PP. 177-188, Madrid, Spain, June 2007.
* L.Budaghyan, C.Carlet, G.Leander. Another class of quadratic APN binomials over $\F_{2^n}$: the case $n$ divisible by 4. Proceedings of the International Workshop on Coding and Cryptography, WCC 2007, dedicated to the memory of Hans Dobbertin, pp. 49-58, Versailles, France, Apr. 2007.
* L.Budaghyan, C.Carlet, P.Felke, G.Leander. An infinite class of quadratic APN functions which are not equivalent to power mappings. Proceedings of the IEEE International Symposium on Information Theory 2006, Jul. 2006.
* L.Budaghyan, C.Carlet, A.Pott. New Classes of Almost Bent and Almost Perfect Nonlinear Functions. IEEE Trans. Inform. Theory, vol. 52, no. 3, pp. 1141- 1152, March 2006.
* L.Budaghyan. On APN and AB polynomials which are not equivalent to power functions. Book of Abstracts of the Workshop on Groebner Bases in Cryptography, Coding Theory, and Algebraic Combinatorics, Linz, Austria, May 2006.
* L.Budaghyan, C.Carlet, A.Pott. New Constructions of Almost Bent and Almost Perfect Nonlinear Functions. Proceedings of the Workshop on Coding and Cryptography 2005, P.Charpin and O.Ytrehus eds., pp. 306-315, Bergen, Norway, March 2005.
* L.Budaghyan, A.Pott. Differentially Uniform and Nonlinear functions. YACC04, Book of Abstracts, Porquerolles, France, June 2004.
* L.Budaghyan, Yu.M.Movsisyan. On Elementary Decidability of Quasi-Boolean Algebras. Book of Abstracts of International Conference "Mathematics in Armenia", Tsahkadzor, Armenia, Oct. 2003.
* L.Budaghyan. Elementary Classification of Quasi-Boolean Algebras. Scientific Notes of YSU, 3(199), pp.~12-20, 2002.
* L.Budaghyan, Yu.M.Movsisyan. On Hyperidentities of Algebraic Systems. Proceedings of International Conference on Computer Science and Information Technologies 2001, Yerevan, Armenia, 2001.
* L.Budaghyan, Yu.M.Movsisyan. On Algebras with Hyperidentities of Boolean Algebras. Proceedings of Algebra International Conference Dedicated to the 100-th Anniversary of P.~S.~Novikov, Moscow, Russia, 2001.
PhD Thesis and Scientific Report
* L.Budaghyan. The Equivalence of Almost Bent and Almost Perfect Nonlinear Functions and Their Generalizations. PhD Thesis, Otto-von-Guericke-University Magdeburg, Dec. 2005.
* L.Budaghyan. Classification and decidability of the elementary theories of algebras with hyperidentities of Boolean algebras. Scientific Report. Yerevan State University, 2002.