Lilya BudaghyanUniversity of Bergen, Norwayhttp://www.ii.uib.no/~lilia/https://scholar.google.com/citations?user=E4UDXnMAAAAJhttps://mathscinet.ams.org/mathscinet/MRAuthorID/789541https://mathgenealogy.org/id.php?id=178167https://en.wikipedia.org/wiki/Lilya_Budaghyanhttps://orcid.org/0000-0002-9214-1083https://www.wikidata.org/entity/Q89377117Lilya BudaghyanIvana IvkovicNikolay S. KaleyskiTriplicate functions.35-83202315Cryptogr. Commun.1https://doi.org/10.1007/s12095-022-00587-2https://www.wikidata.org/entity/Q114849107db/journals/ccds/ccds15.html#BudaghyanIK23Lilya BudaghyanClaude CarletTor HellesethWilfried MeidlEditorial: Special issue on Boolean functions and their applications 2022.1049-10512023December15Cryptogr. Commun.6https://doi.org/10.1007/s12095-023-00678-8db/journals/ccds/ccds15.html#BudaghyanCHM23José Luis ImañaNikolay S. KaleyskiLilya BudaghyanHardware architecture of Dillon's APN permutation for different primitive polynomials.1049452023103Microprocess. Microsystemshttps://doi.org/10.1016/j.micpro.2023.104945db/journals/mam/mam103.html#ImanaKB23Enrico PiccioneSamuele AndreoliLilya BudaghyanClaude CarletSiemen DhoogheSvetla NikovaGeorge PetridesVincent RijmenAn Optimal Universal Construction for the Threshold Implementation of Bijective S-Boxes.6700-67102023October69IEEE Trans. Inf. Theory10https://doi.org/10.1109/TIT.2023.3287534https://www.wikidata.org/entity/Q122962510db/journals/tit/tit69.html#PiccioneABCDNPR23Lilya BudaghyanMohit PalARITHMETIZATION-ORIENTED APN FUNCTIONS.108120232023IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2023/1081db/journals/iacr/iacr2023.html#BudaghyanP23Samuele AndreoliEnrico PiccioneLilya BudaghyanPantelimon StanicaSvetla NikovaOn Decompositions of Permutations in Quadratic Functions.163220232023IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2023/1632db/journals/iacr/iacr2023.html#AndreoliPBSN23Lilya BudaghyanNikolay S. KaleyskiConstanza RieraPantelimon StanicaOn the behavior of some APN permutations under swapping points.319-345202214Cryptogr. Commun.2https://doi.org/10.1007/s12095-021-00520-zdb/journals/ccds/ccds14.html#BudaghyanKRS22Lilya BudaghyanClaude CarletCunsheng DingTor HellesethEditorial: Special issue on Boolean functions and their applications 2021.1207-1209202214Cryptogr. Commun.6https://doi.org/10.1007/s12095-022-00609-zhttps://www.wikidata.org/entity/Q114221270db/journals/ccds/ccds14.html#BudaghyanCDH22Lilya BudaghyanMarco CalderiniClaude CarletDiana DavidovaNikolay S. KaleyskiOn Two Fundamental Problems on APN Power Functions.3389-3403202268IEEE Trans. Inf. Theory5https://doi.org/10.1109/TIT.2022.3147060db/journals/tit/tit68.html#BudaghyanCCDK22José Luis ImañaLilya BudaghyanNikolay S. KaleyskiDecomposition of Dillon's APN Permutation with Efficient Hardware Implementation.250-2682022WAIFIhttps://doi.org/10.1007/978-3-031-22944-2_16conf/waifi/2022db/conf/waifi/waifi2022.html#ImanaBK22Anastasiya GorodilovaNatalia N. TokarevaSergey AgievichIlya BeterovTim BeyneLilya BudaghyanClaude CarletSiemen DhoogheValeria IdrisovaNikolay KolomeecAleksandr KutsenkoEkaterina MalyginaNicky MouhaMarina PudovkinaFrancesco Sica 0001Aleksei UdovenkoAn overview of the Eight International Olympiad in Cryptography "Non-Stop University CRYPTO".2022abs/2204.11502CoRRhttps://doi.org/10.48550/arXiv.2204.11502db/journals/corr/corr2204.html#abs-2204-11502Enrico PiccioneSamuele AndreoliLilya BudaghyanClaude CarletSiemen DhoogheSvetla NikovaGeorge PetridesVincent RijmenAn Optimal Universal Construction for the Threshold Implementation of Bijective S-boxes.114120222022IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2022/1141db/journals/iacr/iacr2022.html#PiccioneABCDNPR22Lilya BudaghyanClaude CarletTor HellesethKaisa NybergEditorial: Special issue on Boolean functions and their applications 2020.887-889202113Cryptogr. Commun.6https://doi.org/10.1007/s12095-021-00536-5db/journals/ccds/ccds13.html#BudaghyanCHN21Lilya BudaghyanMarco CalderiniClaude CarletRobert S. CoulterIrene VillaGeneralized isotopic shift construction for APN functions.19-32202189Des. Codes Cryptogr.1https://doi.org/10.1007/s10623-020-00803-1db/journals/dcc/dcc89.html#BudaghyanCCCV21Diana DavidovaLilya BudaghyanClaude CarletTor HellesethFerdinand IhringerTim PenttilaRelation between o-equivalence and EA-equivalence for Niho bent functions.101834202172Finite Fields Their Appl.https://doi.org/10.1016/j.ffa.2021.101834db/journals/ffa/ffa72.html#DavidovaBCHIP21Lilya BudaghyanIvana IvkovicNikolay S. KaleyskiTriplicate functions.138720212021IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2021/1387db/journals/iacr/iacr2021.html#BudaghyanIK21Lilya BudaghyanMarco CalderiniIrene VillaOn relations between CCZ- and EA-equivalences.85-100202012Cryptogr. Commun.1https://doi.org/10.1007/s12095-019-00367-5db/journals/ccds/ccds12.html#BudaghyanCV20Lilya BudaghyanNikolay S. KaleyskiSoonhak KwonConstanza RieraPantelimon StanicaPartially APN Boolean functions and classes of functions that are not APN infinitely often.527-545202012Cryptogr. Commun.3https://doi.org/10.1007/s12095-019-00372-8db/journals/ccds/ccds12.html#BudaghyanKKRS20Lilya BudaghyanTor HellesethEditorial: Special issue on Boolean functions and their applications.819-820202012Cryptogr. Commun.5https://doi.org/10.1007/s12095-020-00454-ydb/journals/ccds/ccds12.html#BudaghyanH20Lilya BudaghyanNikolay S. KaleyskiConstanza RieraPantelimon StanicaPartially APN functions with APN-like polynomial representations.1159-1177202088Des. Codes Cryptogr.6https://doi.org/10.1007/s10623-020-00739-6db/journals/dcc/dcc88.html#BudaghyanKRS20Lilya BudaghyanMarco CalderiniIrene VillaOn equivalence between known families of quadratic APN functions.101704202066Finite Fields Their Appl.https://doi.org/10.1016/j.ffa.2020.101704db/journals/ffa/ffa66.html#BudaghyanCV20Yuyin YuNikolay S. KaleyskiLilya BudaghyanYongqiang Li 0001Classification of quadratic APN functions with coefficients in F2 for dimensions up to 9.101733202068Finite Fields Their Appl.https://doi.org/10.1016/j.ffa.2020.101733db/journals/ffa/ffa68.html#YuKBL20Lilya BudaghyanMarco CalderiniClaude CarletRobert S. CoulterIrene VillaConstructing APN Functions Through Isotopic Shifts.5299-5309202066IEEE Trans. Inf. Theory8https://doi.org/10.1109/TIT.2020.2974471db/journals/tit/tit66.html#BudaghyanCCCV20Lilya BudaghyanClaude CarletTor HellesethNikolay S. KaleyskiOn the Distance Between APN Functions.5742-5753202066IEEE Trans. Inf. Theory9https://doi.org/10.1109/TIT.2020.2983684db/journals/tit/tit66.html#BudaghyanCHK20Lilya BudaghyanTor HellesethNikolay S. KaleyskiA New Family of APN Quadrinomials.7081-7087202066IEEE Trans. Inf. Theory11https://doi.org/10.1109/TIT.2020.3007513db/journals/tit/tit66.html#BudaghyanHK20Lilya BudaghyanMarco CalderiniClaude CarletRobert S. CoulterIrene VillaGeneralized Isotopic Shift Construction for APN Functions.29520202020IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2020/295db/journals/iacr/iacr2020.html#BudaghyanCCCV20Lilya BudaghyanNikolay S. KaleyskiConstanza RieraPantelimon StanicaOn the sensitivity of some APN permutations to swapping points.55720202020IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2020/557db/journals/iacr/iacr2020.html#BudaghyanKRS20Lilya BudaghyanMarco CalderiniClaude CarletDiana DavidovaNikolay S. KaleyskiOn two fundamental problems on APN power functions.135920202020IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2020/1359db/journals/iacr/iacr2020.html#BudaghyanCCDK20Marco CalderiniLilya BudaghyanClaude CarletOn known constructions of APN and AB functions and their relation to each other.144420202020IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2020/1444db/journals/iacr/iacr2020.html#CalderiniBC20Lilya BudaghyanClaude CarletTor HellesethEditorial: Special Issue on Boolean functions and their applications.1-2201911Cryptogr. Commun.1https://doi.org/10.1007/s12095-018-0341-2db/journals/ccds/ccds11.html#BudaghyanCH19Lilya BudaghyanChunlei Li 0001Matthew Geoffrey ParkerEditorial: Special Issue on Mathematical Methods for Cryptography.363-365201911Cryptogr. Commun.3https://doi.org/10.1007/s12095-019-00356-8db/journals/ccds/ccds11.html#BudaghyanLP19Lilya BudaghyanClaude CarletTor HellesethEditorial: Special issue on Boolean functions and their applications 2018.1145-1146201911Cryptogr. Commun.6https://doi.org/10.1007/s12095-019-00409-ydb/journals/ccds/ccds11.html#BudaghyanCH19aLilya BudaghyanMarco CalderiniClaude CarletRobert S. CoulterIrene VillaOn Isotopic Shift Construction for Planar Functions.2962-29662019ISIThttps://doi.org/10.1109/ISIT.2019.8849339conf/isit/2019db/conf/isit/isit2019.html#BudaghyanCCCV19Lilya BudaghyanNikolay S. KaleyskiSoonhak KwonConstanza RieraPantelimon StanicaPartially APN Boolean functions and classes of functions that are not APN infinitely often.2019abs/1905.13025CoRRhttp://arxiv.org/abs/1905.13025db/journals/corr/corr1905.html#abs-1905-13025Diana DavidovaLilya BudaghyanClaude CarletTor HellesethFerdinand IhringerTim PenttilaRelation between o-equivalence and EA-equivalence for Niho bent functions.78920192019IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2019/789db/journals/iacr/iacr2019.html#DavidovaBCHIP19Lilya BudaghyanMarco CalderiniIrene VillaOn equivalence between known families of quadratic APN functions.79320192019IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2019/793db/journals/iacr/iacr2019.html#BudaghyanCV19Lilya BudaghyanTor HellesethNikolay S. KaleyskiA new family of APN quadrinomials.99420192019IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2019/994db/journals/iacr/iacr2019.html#BudaghyanHK19Yuyin YuNikolay S. KaleyskiLilya BudaghyanYongqiang Li 0001Classification of quadratic APN functions with coefficients in GF(2) for dimensions up to 9.149120192019IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2019/1491db/journals/iacr/iacr2019.html#YuKBL19Lilya BudaghyanClaude CarletTor HellesethNian LiBo Sun 0005On Upper Bounds for Algebraic Degrees of APN Functions.4399-4411201864IEEE Trans. Inf. Theory6https://doi.org/10.1109/TIT.2017.2757938db/journals/tit/tit64.html#BudaghyanCHLS18Lilya BudaghyanFrancisco Rodríguez-HenríquezArithmetic of Finite Fields - 7th International Workshop, WAIFI 2018, Bergen, Norway, June 14-16, 2018, Revised Selected PapersWAIFISpringer2018Lecture Notes in Computer Science11321978-3-030-05152-5978-3-030-05153-2https://doi.org/10.1007/978-3-030-05153-2db/conf/waifi/waifi2018.htmlLilya BudaghyanMarco CalderiniClaude CarletRobert S. CoulterIrene VillaConstructing APN functions through isotopic shifts.76920182018IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2018/769db/journals/iacr/iacr2018.html#BudaghyanCCCV18Lilya BudaghyanMarco CalderiniIrene VillaOn relations between CCZ- and EA-equivalences.79620182018IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2018/796db/journals/iacr/iacr2018.html#BudaghyanCV18Lilya BudaghyanClaude CarletTor HellesethNikolay S. KaleyskiChanging Points in APN Functions.121720182018IACR Cryptol. ePrint Arch.https://eprint.iacr.org/2018/1217db/journals/iacr/iacr2018.html#BudaghyanCHK18Lilya BudaghyanTor HellesethNian LiBo Sun 0005Some Results on the Known Classes of Quadratic APN Functions.3-162017C2SIhttps://doi.org/10.1007/978-3-319-55589-8_1conf/c2si/2017db/conf/c2si/c2si2017.html#BudaghyanHLS17Lilya BudaghyanTor HellesethAlexander KholoshaEditorial: Special issue on Boolean functions and their applications.173-17420168Cryptogr. Commun.2https://doi.org/10.1007/s12095-015-0171-4db/journals/ccds/ccds8.html#BudaghyanHK16Lilya BudaghyanAlexander KholoshaClaude CarletTor HellesethUnivariate Niho Bent Functions From o-Polynomials.2254-2265201662IEEE Trans. Inf. Theory4https://doi.org/10.1109/TIT.2016.2530083db/journals/tit/tit62.html#BudaghyanKCH16Lilya BudaghyanClaude CarletTor HellesethNian LiOn the (non-)existence of APN (n, n)-functions of algebraic degree n.480-4842016ISIThttps://doi.org/10.1109/ISIT.2016.7541345conf/isit/2016db/conf/isit/isit2016.html#BudaghyanCHL16Lilya BudaghyanClaude CarletTor HellesethNian LiOn the (non-)existence of APN (n, n)-functions of algebraic degree n.14320162016IACR Cryptol. ePrint Arch.http://eprint.iacr.org/2016/143db/journals/iacr/iacr2016.html#BudaghyanCHL16Lilya BudaghyanTor HellesethNian LiBo Sun 0005Some Results on the Known Classes of Quadratic APN Functions.118320162016IACR Cryptol. ePrint Arch.http://eprint.iacr.org/2016/1183db/journals/iacr/iacr2016.html#BudaghyanHLS16Lilya BudaghyanConstruction and Analysis of Cryptographic Functions20141-168Springer978-3-319-12990-7978-3-319-12991-4https://doi.org/10.1007/978-3-319-12991-4Lilya BudaghyanTor HellesethMatthew Geoffrey ParkerEditorial: special issue on coding and cryptography.269201473Des. Codes Cryptogr.2https://doi.org/10.1007/s10623-014-9995-8db/journals/dcc/dcc73.html#BudaghyanHP14Lilya BudaghyanAlexander KholoshaClaude CarletTor HellesethNiho bent functions from quadratic o-monomials.1827-18312014ISIThttps://doi.org/10.1109/ISIT.2014.6875149conf/isit/2014db/conf/isit/isit2014.html#BudaghyanKCH14Lilya BudaghyanClaude CarletTor HellesethAlexander KholoshaOn o-Equivalence of Niho Bent Functions.155-1682014WAIFIhttps://doi.org/10.1007/978-3-319-16277-5_9conf/waifi/2014db/conf/waifi/waifi2014.html#BudaghyanCHK14Lilya BudaghyanAlexander KholoshaClaude CarletTor HellesethUnivariate Niho Bent Functions from o-Polynomials.2014abs/1411.2394CoRRhttp://arxiv.org/abs/1411.2394db/journals/corr/corr1411.html#BudaghyanKCH14Lilya BudaghyanClaude CarletTor HellesethAlexander KholoshaSihem MesnagerFurther Results on Niho Bent Functions.6979-6985201258IEEE Trans. Inf. Theory11https://doi.org/10.1109/TIT.2012.2206557db/journals/tit/tit58.html#BudaghyanCHKM12Lilya BudaghyanClaude CarletTor HellesethAlexander KholoshaGeneralized bent functions and their relation to Maiorana-McFarland class.1212-12152012ISIThttps://doi.org/10.1109/ISIT.2012.6283049conf/isit/2012db/conf/isit/isit2012.html#BudaghyanCHK12Lilya BudaghyanOleksandr KazymyrovVerification of Restricted EA-Equivalence for Vectorial Boolean Functions.108-1182012WAIFIhttps://doi.org/10.1007/978-3-642-31662-3_8conf/waifi/2012db/conf/waifi/waifi2012.html#BudaghyanK12Lilya BudaghyanTor HellesethNew commutative semifields defined by new PN multinomials.1-1620113Cryptogr. Commun.1https://doi.org/10.1007/s12095-010-0022-2db/journals/ccds/ccds3.html#BudaghyanH11Lilya BudaghyanClaude CarletCCZ-equivalence of bent vectorial functions and related constructions.69-87201159Des. Codes Cryptogr.1-3https://doi.org/10.1007/s10623-010-9466-9db/journals/dcc/dcc59.html#BudaghyanC11Lilya BudaghyanTor HellesethOn Isotopisms of Commutative presemifields and CCZ-Equivalence of Functions.1243-1258201122Int. J. Found. Comput. Sci.6https://doi.org/10.1142/S0129054111008684db/journals/ijfcs/ijfcs22.html#BudaghyanH11Lilya BudaghyanClaude CarletTor HellesethOn bent functions associated to AB functions.150-1542011ITWhttps://doi.org/10.1109/ITW.2011.6089365conf/itw/2011db/conf/itw/itw2011.html#BudaghyanCH11Lilya BudaghyanTor HellesethOn isotopisms of commutative presemifields and CCZ-equivalence of functions.50720102010IACR Cryptol. ePrint Arch.http://eprint.iacr.org/2010/507db/journals/iacr/iacr2010.html#BudaghyanH10aLilya BudaghyanAlexander PottOn differential uniformity and nonlinearity of functions.371-3842009309Discret. Math.2https://doi.org/10.1016/j.disc.2007.12.025db/journals/dm/dm309.html#BudaghyanP09Lilya BudaghyanClaude CarletGregor LeanderConstructing new APN functions from known ones.150-159200915Finite Fields Their Appl.2https://doi.org/10.1016/j.ffa.2008.10.001db/journals/ffa/ffa15.html#BudaghyanCL09Lilya BudaghyanClaude CarletOn CCZ-equivalence and its use in secondary constructions of bent functions.4220092009IACR Cryptol. ePrint Arch.http://eprint.iacr.org/2009/042db/journals/iacr/iacr2009.html#BudaghyanC09Lilya BudaghyanTor HellesethNew commutative semifields defined by PN multinomials.5320092009IACR Cryptol. ePrint Arch.http://eprint.iacr.org/2009/053db/journals/iacr/iacr2009.html#BudaghyanH09Lilya BudaghyanClaude CarletCCZ-equivalence and Boolean functions.6320092009IACR Cryptol. ePrint Arch.http://eprint.iacr.org/2009/063db/journals/iacr/iacr2009.html#BudaghyanC09aLilya BudaghyanClaude CarletClasses of Quadratic APN Trinomials and Hexanomials and Related Structures.2354-2357200854IEEE Trans. Inf. Theory5https://doi.org/10.1109/TIT.2008.920246db/journals/tit/tit54.html#BudaghyanC08Lilya BudaghyanClaude CarletGregor LeanderTwo Classes of Quadratic APN Binomials Inequivalent to Power Functions.4218-4229200854IEEE Trans. Inf. Theory9https://doi.org/10.1109/TIT.2008.928275db/journals/tit/tit54.html#BudaghyanCL08Lilya BudaghyanTor HellesethNew Perfect Nonlinear Multinomials over Ffor Any Odd Prime p.403-4142008SETAhttps://doi.org/10.1007/978-3-540-85912-3_35conf/seta/2008db/conf/seta/seta2008.html#BudaghyanH08Lilya BudaghyanThe Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions.177-1882007conf/waifi/2007WAIFIhttps://doi.org/10.1007/978-3-540-73074-3_14db/conf/waifi/waifi2007.html#Budaghyan07Lilya BudaghyanThe simplest method for constructing APN polynomials EA-inequivalent to power functions.5820072007IACR Cryptol. ePrint Arch.http://eprint.iacr.org/2007/058db/journals/iacr/iacr2007.html#Budaghyan07Lilya BudaghyanClaude CarletGregor LeanderConstructing new APN functions from known ones.6320072007IACR Cryptol. ePrint Arch.http://eprint.iacr.org/2007/063db/journals/iacr/iacr2007.html#BudaghyanCL07Lilya BudaghyanClaude CarletClasses of Quadratic APN Trinomials and Hexanomials and Related Structures.9820072007IACR Cryptol. ePrint Arch.http://eprint.iacr.org/2007/098db/journals/iacr/iacr2007.html#BudaghyanC07Lilya BudaghyanClaude CarletAlexander PottNew classes of almost bent and almost perfect nonlinear polynomials.1141-1152200652IEEE Trans. Inf. Theory3https://doi.org/10.1109/TIT.2005.864481db/journals/tit/tit52.html#BudaghyanCP06Lilya BudaghyanClaude CarletPatrick FelkeGregor LeanderAn infinite class of quadratic APN functions which are not equivalent to power mappings.2637-26412006ISIThttps://doi.org/10.1109/ISIT.2006.262131conf/isit/2006db/conf/isit/isit2006.html#BudaghyanCFL06Lilya BudaghyanClaude CarletGregor LeanderAnother class of quadratic APN binomials over F2n: the case n divisible by 4.42820062006IACR Cryptol. ePrint Arch.http://eprint.iacr.org/2006/428db/journals/iacr/iacr2006.html#BudaghyanCL06Lilya BudaghyanClaude CarletGregor LeanderA class of quadratic APN binomials inequivalent to power functions.44520062006IACR Cryptol. ePrint Arch.http://eprint.iacr.org/2006/445db/journals/iacr/iacr2006.html#BudaghyanCL06aLilya BudaghyanClaude CarletPatrick FelkeGregor LeanderAn infinite class of quadratic APN functions which are not equivalent to power mappings.35920052005IACR Cryptol. ePrint Arch.http://eprint.iacr.org/2005/359db/journals/iacr/iacr2005.html#BudaghyanCFL05Sergey AgievichSamuele AndreoliIlya BeterovTim BeyneMarco CalderiniClaude CarletRobert S. CoulterDiana DavidovaSiemen DhoogheCunsheng DingPatrick FelkeAnastasiya GorodilovaTor HellesethValeriya IdrisovaValeria IdrisovaFerdinand IhringerJosé Luis ImañaIvana IvkovicNikolay S. KaleyskiOleksandr KazymyrovAlexander KholoshaNikolay KolomeecAlexandr KutsenkoAleksandr KutsenkoSoonhak KwonGregor LeanderChunlei Li 0001Nian LiYongqiang Li 0001Ekaterina MalyginaWilfried MeidlSihem MesnagerNicky MouhaSvetla NikovaKaisa NybergMohit PalMatthew Geoffrey ParkerTim PenttilaGeorge PetridesEnrico PiccioneAlexander PottMarina PudovkinaConstanza RieraVincent RijmenFrancisco Rodríguez-HenríquezFrancesco Sica 0001Pantelimon StanicaBo Sun 0005Natalia N. TokarevaAleksei UdovenkoIrene VillaYuyin Yu