Hjem
Universitetet i Bergen
Lilya Budaghyans bilde
Foto:
Randi H Eilertsen

Lilya Budaghyan

Professor
Institutt for informatikk
Hjemmeside
  • E-postlilya.budaghyan@uib.no
  • Telefon+47 55 58 42 87
  • Besøksadresse
    HIB - Thormøhlens gate 55
    5006 Bergen
  • Postadresse
    Postboks 7803
    5020 Bergen
Vitenskapelig artikkel
  • Vis forfatter(e) (2022). Triplicate functions. Cryptography and Communications. 35-83.
  • Vis forfatter(e) (2022). On Two Fundamental Problems on APN Power Functions. IEEE Transactions on Information Theory. 3389-3403.
  • Vis forfatter(e) (2022). An overview of the Eight International Olympiad in Cryptography "Non-Stop University CRYPTO". Sibirskie Elektronnye Matematicheskie Izvestiya. 9-37.
  • Vis forfatter(e) (2021). Relation between o-equivalence and EA-equivalence for Niho bent functions. Finite Fields and Their Applications. 42 sider.
  • Vis forfatter(e) (2021). On the behavior of some APN permutations under swapping points. Cryptography and Communications. 319-345.
  • Vis forfatter(e) (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.
  • Vis forfatter(e) (2020). Partially APN functions with APN-like polynomial representations. Designs, Codes and Cryptography. 1159-1177.
  • Vis forfatter(e) (2020). On the Distance Between APN Functions. IEEE Transactions on Information Theory. 5742-5753.
  • Vis forfatter(e) (2020). On equivalence between known families of quadratic APN functions. Finite Fields and Their Applications. 21 sider.
  • Vis forfatter(e) (2020). Generalized isotopic shift construction for APN functions. Designs, Codes and Cryptography. 19-32.
  • Vis forfatter(e) (2020). Constructing APN functions through isotopic shifts. IEEE Transactions on Information Theory. 5299-5309.
  • Vis forfatter(e) (2020). Classification of quadratic APN functions with coefficients in F2 for dimensions up to 9. Finite Fields and Their Applications. 16 sider.
  • Vis forfatter(e) (2020). A New Family of APN Quadrinomials. IEEE Transactions on Information Theory. 7081-7087.
  • Vis forfatter(e) (2019). Special issue on Boolean Functions and Their applications. Cryptography and Communications. 1145-1146.
  • Vis forfatter(e) (2019). Special Issue on Mathematical Methods for Cryptography. Cryptography and Communications. 363-365.
  • Vis forfatter(e) (2019). Partially APN Boolean functions and classes of functions that are not APN infinitely often. Cryptography and Communications. 1-19.
  • Vis forfatter(e) (2019). On relations between CCZ- and EA-equivalences. Cryptography and Communications. 85-100.
  • Vis forfatter(e) (2018). On Upper Bounds for Algebraic Degrees of APN Functions. IEEE Transactions on Information Theory. 4399-4411.
  • Vis forfatter(e) (2016). Univariate niho bent functions from o-polynomials. IEEE Transactions on Information Theory. 2254-2265.
  • Vis forfatter(e) (2016). On the (non-)existence of APN (n, n)-functions of algebraic degree n. IEEE International Symposium on Information Theory. Proceedings. 480-484.
  • Vis forfatter(e) (2015). On o-equivalence of Niho bent functions. Lecture Notes in Computer Science (LNCS). 155-168.
  • Vis forfatter(e) (2012). Verification of Restricted EA-Equivalence for Vectorial Boolean Functions. Lecture Notes in Computer Science (LNCS). 108-118.
  • Vis forfatter(e) (2012). Generalized bent functions and their relation to Maiorana-McFarland class. IEEE International Symposium on Information Theory. Proceedings. 4 sider.
  • Vis forfatter(e) (2012). Further results on Niho bent functions. IEEE Transactions on Information Theory. 6979-6985.
  • Vis forfatter(e) (2011). ON ISOTOPISMS OF COMMUTATIVE PRESEMIFIELDS AND CCZ-EQUIVALENCE OF FUNCTIONS. International Journal of Foundations of Computer Science. 1243-1258.
  • Vis forfatter(e) (2011). New commutative semifields defined by new PN multinomials. Cryptography and Communications. 1-16.
  • Vis forfatter(e) (2011). CCZ-equivalence of bent vectorial functions and related constructions. Designs, Codes and Cryptography. 69-87.
  • Vis forfatter(e) (2010). Planar functions and commutative semifields. Tatra Mountains Mathematical Publications. 15-25.
  • Vis forfatter(e) (2010). CCZ-equivalence of single and multi output Boolean functions. Contemporary Mathematics. 43-54.
  • Vis forfatter(e) (2009). On differential uniformity and nonlinearity of functions. Discrete Mathematics. 371-384.
  • Vis forfatter(e) (2009). Constructing new APN functions from known ones. Finite Fields and Their Applications. 150-159.
  • Vis forfatter(e) (2008). Two classes of quadratic APN binomials inequivalent to power functions. IEEE Transactions on Information Theory. 4218-4229.
  • Vis forfatter(e) (2008). New perfect nonlinear multinomials over F_p^{2k}}for any odd prime p. Lecture Notes in Computer Science (LNCS). 403-414.
  • Vis forfatter(e) (2008). Classes of quadratic APN trinomials and hexanomials and related structures. IEEE Transactions on Information Theory. 2354-2357.
Vitenskapelig foredrag
  • Vis forfatter(e) (2020). On the sensitivity of some permutation APN functions to swapping points.
  • Vis forfatter(e) (2018). Partially APN Boolean functions.
Leder
  • Vis forfatter(e) (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.
  • Vis forfatter(e) (2021). Editorial: Special issue on Boolean functions and their applications 2020. Cryptography and Communications.
  • Vis forfatter(e) (2019). Special issue on Boolean functions and their applications 2018. Cryptography and Communications.
  • Vis forfatter(e) (2019). Editorial: Special issue on Boolean functions and their applications 2018. Cryptography and Communications. 1145-1146.
  • Vis forfatter(e) (2019). Editorial: Special Issue on Boolean functions and their applications. Cryptography and Communications. 1-2.
  • Vis forfatter(e) (2016). Editorial: Special issue on Boolean functions and their applications. Cryptography and Communications. 173-174.
  • Vis forfatter(e) (2014). Editorial: Special issue on coding and cryptography. Designs, Codes and Cryptography. 269.
Vitenskapelig antologi/Konferanseserie
  • Vis forfatter(e) (2013). Preproceedings, The International Workshop on Coding and Cryptography WCC 2013. Universitetet i Bergen.
Vitenskapelig monografi
  • Vis forfatter(e) (2018). The Equivalence of APN and AB Functions and Their Generalizations.
Doktorgradsavhandling
  • Vis forfatter(e) (2021). Towards a deeper understanding of APN functions and related longstanding problems.
  • Vis forfatter(e) (2018). On Classification and Some Properties of APN Functions.
Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
  • Vis forfatter(e) (2019). On Isotopic Shift Construction for Planar Functions. 5 sider.
  • Vis forfatter(e) (2017). Some Results on the Known Classes of Quadratic APN Functions. 14 sider.
  • Vis forfatter(e) (2012). Generalized bent functions and their relation to Maiorana-McFarland class. 4 sider.
  • Vis forfatter(e) (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.