Hjem
Lilya Budaghyans bilde

Lilya Budaghyan

Forsker
  • E-postLilya.Budaghyan@uib.no
  • Telefon+47 55 58 42 87+47 930 71 879
  • Besøksadresse
    HIB - Thormøhlensgt. 55
  • Postadresse
    Postboks 7803
    5020 Bergen
Bøker
  • Budaghyan, Lilya; Helleseth, Tor; Parker, Matthew Geoffrey. 2013. Preproceedings, The International Workshop on Coding and Cryptography WCC 2013. Universitetet i Bergen. 576 sider. ISBN: 978-82-308-2269-2.
Tidsskriftartikler
  • Budaghyan, Lilya; Helleseth, Tor; Li, Nian; Sun, Bo. 2017. DUBLETT. Lecture Notes in Computer Science. 10194 LNCS: 3-16. doi: 10.1007/978-3-319-55589-8_1
  • Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Li, Nian. 2016. On the (non-)existence of APN (n, n)-functions of algebraic degree n. IEEE International Symposium on Information Theory. Proceedings. 2016-August: 480-484. doi: 10.1109/ISIT.2016.7541345
  • Budaghyan, Lilya; Helleseth, Tor; Kholosa, Alexander. 2016. Editorial: Special issue on Boolean functions and their applications. Cryptography and Communications. 8: 173-174. doi: 10.1007/s12095-015-0171-4
  • Budaghyan, Lilya; Kholosa, Alexander; Carlet, Claude; Helleseth, Tor. 2016. Univariate niho bent functions from o-polynomials. IEEE Transactions on Information Theory. 62: 2254-2265. doi: 10.1109/TIT.2016.2530083
  • Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosa, Alexander. 2015. On o-equivalence of Niho bent functions. Lecture Notes in Computer Science. 9061: 155-168. doi: 10.1007/978-3-319-16277-5_9
  • Budaghyan, Lilya; Helleseth, Tor; Parker, Matthew Geoffrey. 2014. Editorial: Special issue on coding and cryptography. Designs, Codes and Cryptography. 73: 269. doi: 10.1007/s10623-014-9995-8
  • Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosa, Alexander. 2012. Generalized bent functions and their relation to Maiorana-McFarland class. IEEE International Symposium on Information Theory. Proceedings. 4 sider.
  • Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosa, Alexander; Mesnager, Sihem. 2012. Further results on Niho bent functions. IEEE Transactions on Information Theory. 58: 6979-6985. doi: 10.1109/TIT.2012.2206557
  • Budaghyan, Lilya; Kazymyrov, Oleksandr. 2012. Verification of Restricted EA-Equivalence for Vectorial Boolean Functions. Lecture Notes in Computer Science. 7369. 108-118. doi: 10.1007/978-3-642-31662-3_8
  • Budaghyan, Lilya; Carlet, Claude. 2011. CCZ-equivalence of bent vectorial functions and related constructions. Designs, Codes and Cryptography. 59: 69-87. doi: 10.1007/s10623-010-9466-9
  • Budaghyan, Lilya; Helleseth, Tor. 2011. New commutative semifields defined by new PN multinomials. Cryptography and Communications. 3: 1-16.
  • Budaghyan, Lilya; Helleseth, Tor. 2011. ON ISOTOPISMS OF COMMUTATIVE PRESEMIFIELDS AND CCZ-EQUIVALENCE OF FUNCTIONS. International Journal of Foundations of Computer Science. 22: 1243-1258. doi: 10.1142/S0129054111008684
  • Budaghyan, Lilya; Carlet, Claude. 2010. CCZ-equivalence of single and multi output Boolean functions. Contemporary Mathematics. 518: 43-54.
  • Budaghyan, Lilya; Helleseth, Tor. 2010. Planar functions and commutative semifields. Tatra Mountains Mathematical Publications. 45: 15-25.
  • Budaghyan, Lilya; Carlet, Claude; Leander, Gregor. 2009. Constructing new APN functions from known ones. Finite Fields and Their Applications. 15: 150-159. doi: 10.1016/j.ffa.2008.10.001
  • Budaghyan, Lilya; Pott, Alexander. 2009. On differential uniformity and nonlinearity of functions. Discrete Mathematics. 309: 371-384. doi: 10.1016/j.disc.2007.12.025
  • Budaghyan, Lilya; Carlet, Claude. 2008. Classes of quadratic APN trinomials and hexanomials and related structures. IEEE Transactions on Information Theory. 54: 2354-2357. doi: 10.1109/TIT.2008.920246
  • Budaghyan, Lilya; Carlet, Claude; Leander, Gregor. 2008. Two classes of quadratic APN binomials inequivalent to power functions. IEEE Transactions on Information Theory. 54: 4218-4229. doi: 10.1109/TIT.2008.928275
  • Budaghyan, Lilya; Helleseth, Tor. 2008. New perfect nonlinear multinomials over F_p^{2k}}for any odd prime p. Lecture Notes in Computer Science. 5203: 403-414.
Bokkapitler
  • Budaghyan, Lilya; Helleseth, Tor; Li, Nian; Sun, Bo. 2017. Some Results on the Known Classes of Quadratic APN Functions. Chapter 1, sider 3-16. I:
    • El Hajji, Said; Abderrahmane, Nitaj; Souidi, El Mamoun. 2017. Codes, Cryptology and Information Security. Springer. 384 sider. ISBN: 978-3-319-55589-8.
  • Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosa, Alexander. 2012. Generalized bent functions and their relation to Maiorana-McFarland class. Artikkel, sider 1217-1220. I:
    • Caire, Giuseppe; Effros, Michelle; Loeliger, Hans-Andrea; Vardy, Alexander. 2012. Proceedings of 2012 IEEE International Symposium on Information Theory. IEEE conference proceedings. 3175 sider. ISBN: 978-1-4673-2578-3.
  • Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor. 2011. On bent functions associated to AB functions. Artikkel, sider 150-154. I:
    • Joao, Barros; Max, Costa; Jaime, Portugheis. 2011. Proceedings of IEEE Information Theory Workshop 2011. IEEE Press. 726 sider. ISBN: 978-1-4577-0438-3.

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.