Edit Profile (opens in new tab) Carlet, Claude Compute Distance To: Compute Author ID: carlet.claude Published as: Carlet, Claude; Carlet, C. Homepage: http://www.math.univ-paris13.fr/~carlet/english.html External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 178 Publications since 1985, including 2 Books 12 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 122 Co-Authors with 127 Joint Publications 3,275 Co-Co-Authors all top 5 Co-Authors 63 single-authored 18 Budaghyan, Lilya 18 Mesnager, Sihem 10 Helleseth, Tor 9 Tang, Deng 8 Guilley, Sylvain 7 Charpin, Pascale 7 Guillot, Philippe 6 Prouff, Emmanuel 6 Tang, Xiaohu 5 Ding, Cunsheng 5 Leander, Gregor 5 Solé, Patrick 4 Gaborit, Philippe 4 Kholosha, Alexander 4 Özbudak, Ferruh 4 Qi, Yanfeng 4 Tang, Chunming 3 Calderini, Marco 3 Canteaut, Anne 3 Coulter, Robert S. 3 Danger, Jean-Luc 3 Gao, Guangpu 3 Güneri, Cem 3 Hu, Lei 3 Hu, Yupu 3 Liu, Wenfen 3 Maghrebi, Houssem 3 Méaux, Pierrick 3 Pott, Alexander 3 Zeng, Xiangyong 3 Zhang, Fengrong 2 Chand Gupta, Kishan 2 Chen, Xi 2 Dobbertin, Hans 2 Feng, Keqin 2 Feukoua, Serge 2 Fontaine, Caroline 2 Gong, Guang 2 Hasan, M. Anwar 2 Journault, Anthony 2 Khoo, Khoongming 2 Kim, Jon-Lark 2 Li, Chengju 2 Li, Chunlei 2 Liao, Qunying 2 Lim, Chu-Wee 2 Loe, Chuan-Wen 2 Meier, Willi 2 Niederreiter, Harald 2 Nitaj, Abderrahmane 2 Rivain, Matthieu 2 Shan, Jinyong 2 Souidi, El Mamoun 2 Standaert, Francois-Xavier 2 Stănică, Pantelimon 2 Tan, Yin 2 Villa, Irene 2 Wang, Qiang (Steven) 2 Yuan, Jin 2 Yucas, Joseph L. 2 Zhou, Zhengchun 1 Ahmadi, Omran 1 Alsalami, Yousuf 1 Armknecht, Frederik 1 Augot, Daniel 1 Ball, L. Simeon 1 Beierle, Christof 1 Bernstein, Daniel Julius 1 Blache, Régis 1 Blake, Ian F. 1 Blokhuis, Aart 1 Camion, Paul F. 1 Cao, Tianjie 1 Castro, Francis Noel 1 Cioabă, Sebastian M. 1 Cohen, Stephen D. 1 Colbourn, Charles J. 1 Dalai, Deepak Kumar 1 Danielsen, Lars Eirik 1 Davidova, Diana S. 1 de Smit, Bart 1 Debs, Gabriel 1 Ding, Jintai 1 Dinitz, Jeffrey H. 1 Doche, Christophe 1 Dubuc, Sylvie 1 Dumas, Jean-Guillaume 1 Ebert, Gary Lee 1 Effinger, Gove W. 1 Elhajji, Said 1 Enge, Andreas 1 Evans, Ronald J. 1 Fan, Haining 1 Felke, Patrick 1 Feng, Xiutao 1 Fitzgerald, Robert W. 1 Fouque, Pierre-Alain 1 Freibert, Finley 1 Fried, Michael David 1 Fu, Lei ...and 97 more Co-Authors all top 5 Serials 43 IEEE Transactions on Information Theory 24 Designs, Codes and Cryptography 8 Advances in Mathematics of Communications 6 Finite Fields and their Applications 6 Cryptography and Communications 5 Journal of Combinatorial Theory. Series A 5 Lecture Notes in Computer Science 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Discrete Applied Mathematics 3 Discrete Mathematics 3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Information Sciences 2 Journal of Complexity 2 International Journal of Foundations of Computer Science 2 Journal of Mathematical Cryptology 2 International Journal of Information and Coding Theory 1 Journal of Combinatorics, Information & System Sciences 1 Journal of Information & Optimization Sciences 1 Information and Computation 1 SIAM Journal on Discrete Mathematics 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Algebraic Combinatorics 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 1 Vietnam Journal of Mathematics 1 Science China. Mathematics 1 Electronic Notes in Discrete Mathematics 1 International Journal of Group Theory 1 Discrete Mathematics and its Applications all top 5 Fields 182 Information and communication theory, circuits (94-XX) 49 Order, lattices, ordered algebraic structures (06-XX) 42 Number theory (11-XX) 12 General and overarching topics; collections (00-XX) 12 Computer science (68-XX) 10 Combinatorics (05-XX) 3 Field theory and polynomials (12-XX) 3 Geometry (51-XX) 2 Mathematical logic and foundations (03-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 1 Associative rings and algebras (16-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 151 Publications have been cited 3,058 times in 1,160 Documents Cited by ▼ Year ▼ Boolean functions for cryptography and error-correcting codes. Zbl 1209.94035Carlet, Claude 234 2010 Codes, bent functions and permutations suitable for DES-like cryptosystems. Zbl 0938.94011Carlet, Claude; Charpin, Pascale; Zinoviev, Victor 216 1998 Handbook of finite fields. Zbl 1319.11001 152 2013 Linear codes from perfect nonlinear mappings and their secret sharing schemes. Zbl 1192.94114Carlet, Claude; Ding, Cunsheng; Yuan, Jin 140 2005 Vectorial Boolean functions for cryptography. Zbl 1209.94036Carlet, Claude 125 2010 Algebraic attacks and decomposition of Boolean functions. Zbl 1122.94041Meier, Willi; Pasalic, Enes; Carlet, Claude 94 2004 Highly nonlinear mappings. Zbl 1053.94011Carlet, Claude; Ding, Cunsheng 81 2004 New classes of almost bent and almost perfect nonlinear polynomials. Zbl 1177.94136Budaghyan, Lilya; Carlet, Claude; Pott, Alexander 77 2006 Algebraic immunity for cryptographically significant Boolean functions: analysis and construction. Zbl 1192.94091Carlet, Claude; Dalai, Deepak Kumar; Gupta, Kishan Chand; Maitra, Subhamoy 63 2006 Four decades of research on bent functions. Zbl 1378.94028Carlet, Claude; Mesnager, Sihem 59 2016 Two classes of quadratic APN binomials inequivalent to power functions. Zbl 1177.94135Budaghyan, Lilya; Carlet, Claude; Leander, Gregor 57 2008 Constructing new APN functions from known ones. Zbl 1184.94228Budaghyan, Lilya; Carlet, Claude; Leander, Gregor 57 2009 The weight distribution of a class of linear codes from perfect nonlinear functions. Zbl 1192.94128Yuan, Jin; Carlet, Claude; Ding, Cunsheng 56 2006 An infinite class of balanced functions with optimal algebraic immunity, good immunity to fast algebraic attacks and good nonlinearity. Zbl 1206.94060Carlet, Claude; Feng, Keqin 53 2008 Linear codes over \(\mathbb F_q\) are equivalent to LCD codes for \(q>3\). Zbl 1392.94926Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng; Pellikaan, Ruud 51 2018 Two new classes of bent functions. Zbl 0951.94542Carlet, Claude 51 1994 Complementary dual codes for counter-measures to side-channel attacks. Zbl 1352.94091Carlet, Claude; Guilley, Sylvain 47 2016 Classes of quadratic APN trinomials and hexanomials and related structures. Zbl 1177.94134Budaghyan, Lilya; Carlet, Claude 44 2008 Construction of bent functions via Niho power functions. Zbl 1095.94030Dobbertin, Hans; Leander, Gregor; Canteaut, Anne; Carlet, Claude; Felke, Patrick; Gaborit, Philippe 43 2006 Euclidean and Hermitian LCD MDS codes. Zbl 1401.94199Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng 39 2018 Complementary dual codes for counter-measures to side-channel attacks. Zbl 1398.94209Carlet, Claude; Guilley, Sylvain 38 2015 On correlation-immune functions. Zbl 0763.94006Camion, P.; Carlet, C.; Charpin, P.; Sendrier, N. 36 1992 \(\mathbb{Z}_{2^k}\)-linear codes. Zbl 0935.94028Carlet, Claude 34 1998 Partially-bent functions. Zbl 0772.94005Carlet, Claude 33 1993 On cryptographic properties of the cosets of \(R(1,m)\). Zbl 1021.94014Canteaut, Anne; Carlet, Claude; Charpin, Pascale; Fontaine, Caroline 32 2001 On Dillon’s class \(H\) of bent functions, Niho bent functions and o-polynomials. Zbl 1236.94052Carlet, Claude; Mesnager, Sihem 31 2011 Further properties of several classes of Boolean functions with optimum algebraic immunity. Zbl 1174.94012Carlet, Claude; Zeng, Xiangyong; Li, Chunlei; Hu, Lei 31 2009 Differentially 4-uniform bijections by permuting the inverse function. Zbl 1329.94079Tang, Deng; Carlet, Claude; Tang, Xiaohu 31 2015 Highly nonlinear Boolean functions with optimal algebraic immunity and good behavior against fast algebraic attacks. Zbl 1364.94808Tang, Deng; Carlet, Claude; Tang, Xiaohu 30 2013 Efficient computation of algebraic immunity for algebraic and fast algebraic attacks. Zbl 1140.94320Armknecht, Frederik; Carlet, Claude; Gaborit, Philippe; Künzli, Simon; Meier, Willi; Ruatta, Olivier 28 2006 More balanced Boolean functions with optimal algebraic immunity and good nonlinearity and resistance to fast algebraic attacks. Zbl 1365.94686Zeng, Xiangyong; Carlet, Claude; Shan, Jinyong; Hu, Lei 25 2011 Boolean functions for cryptography and coding theory. Zbl 07162674Carlet, Claude 25 2020 Boolean and vectorial plateaued functions and APN functions. Zbl 1359.94931Carlet, Claude 25 2015 Relating three nonlinearity parameters of vectorial functions and building APN functions from bent functions. Zbl 1229.94041Carlet, Claude 24 2011 On known and new differentially uniform functions. Zbl 1279.94060Carlet, Claude 24 2011 A secondary construction and a transformation on rotation symmetric functions, and their action on bent and semi-bent functions. Zbl 1297.05239Carlet, Claude; Gao, Guangpu; Liu, Wenfen 24 2014 Recursive lower bounds on the nonlinearity profile of Boolean functions and their applications. Zbl 1192.94145Carlet, Claude 24 2008 On bent and highly nonlinear balanced/resilient functions and their algebraic immunities. Zbl 1125.94014Carlet, Claude 24 2006 Towards stream ciphers for efficient FHE with low-noise ciphertexts. Zbl 1384.94086Méaux, Pierrick; Journault, Anthony; Standaert, François-Xavier; Carlet, Claude 22 2016 On plateaued functions and their constructions. Zbl 1254.94028Carlet, Claude; Prouff, Emmanuel 20 2003 On the secondary constructions of resilient and bent functions. Zbl 1062.94036Carlet, Claude 20 2004 Self-dual bent functions. Zbl 1204.94118Carlet, Claude; Danielsen, Lars Eirik; Parker, Matthew G.; Solé, Patrick 19 2010 Constructions of quadratic and cubic rotation symmetric bent functions. Zbl 1365.94670Gao, Guangpu; Zhang, Xiyong; Liu, Wenfen; Carlet, Claude 18 2012 Improving the upper bounds on the covering radii of binary Reed-Muller codes. Zbl 1192.94139Carlet, Claude; Mesnager, Sihem 17 2007 A construction of bent functions. Zbl 0871.94027Carlet, Claude 16 1996 Generalized partial spreads. Zbl 0831.94022Carlet, Claude 16 1995 New characterization and parametrization of LCD codes. Zbl 1431.94143Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng 16 2019 Nonlinearities of S-boxes. Zbl 1122.94026Carlet, Claude; Ding, Cunsheng 16 2007 Higher-order masking schemes for S-boxes. Zbl 1312.94037Carlet, Claude; Goubin, Louis; Prouff, Emmanuel; Quisquater, Michael; Rivain, Matthieu 16 2012 Propagation characteristics and correlation-immunity of highly nonlinear Boolean functions. Zbl 1082.94510Canteaut, Anne; Carlet, Claude; Charpin, Pascale; Fontaine, Caroline 15 2000 A characterization of binary bent functions. Zbl 0861.94014Carlet, Claude; Guillot, Philippe 15 1996 New construction of differentially 4-uniform bijections. Zbl 1347.94024Carlet, Claude; Tang, Deng; Tang, Xiaohu; Liao, Qunying 15 2014 On the degree, nonlinearity, algebraic thickness, and nonnormality of Boolean functions, with developments on symmetric functions. Zbl 1192.94090Carlet, Claude 15 2004 Normal extensions of bent functions. Zbl 1184.94232Carlet, Claude; Dobbertin, Hans; Leander, Gregor 14 2004 Further results on Niho bent functions. Zbl 1364.94797Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem 13 2012 A larger class of cryptographic Boolean functions via a study of the Maiorana-McFarland construction. Zbl 1026.94518Carlet, Claude 12 2002 Hyper-bent functions and cyclic codes. Zbl 1086.94031Carlet, Claude; Gaborit, Philippe 12 2006 Open questions on nonlinearity and on APN functions. Zbl 1400.94133Carlet, Claude 12 2015 Secondary constructions of bent functions and their enforcement. Zbl 1272.94017Carlet, Claude; Zhang, Fengrong; Hu, Yupu 12 2012 Spectral domain analysis of correlation immune and resilient Boolean functions. Zbl 1003.94024Carlet, Claude; Sarkar, Palash 11 2002 Piecewise constructions of bent and almost optimal Boolean functions. Zbl 1142.94336Carlet, Claude; Yucas, Joseph L. 11 2005 On the confusion and diffusion properties of Maiorana-McFarland’s and extended Maiorana-McFarland’s functions. Zbl 1057.94016Carlet, Claude 11 2004 A method of construction of balanced functions with optimum algebraic immunity. Zbl 1160.94009Carlet, Claude 11 2008 On cryptographic complexity of Boolean functions. Zbl 1021.94524Carlet, Claude 10 2002 On semibent Boolean functions. Zbl 1365.94666Carlet, Claude; Mesnager, Sihem 10 2012 Constructing APN functions through isotopic shifts. Zbl 1446.94085Budaghyan, Lilya; Calderini, Marco; Carlet, Claude; Coulter, Robert S.; Villa, Irene 10 2020 On linear complementary pairs of codes. Zbl 1401.94198Carlet, Claude; Güneri, Cem; Özbudak, Ferruh; Özkaya, Buket; Solé, Patrick 10 2018 Secondary constructions of highly nonlinear Boolean functions and disjoint spectra plateaued functions. Zbl 1360.94340Zhang, Feng-Rong; Carlet, Claude; Hu, Yu-Pu; Cao, Tian-Jie 10 2014 More constructions of APN and differentially 4-uniform functions by concatenation. Zbl 1336.11077Carlet, Claude 10 2013 One-weight \(\mathbb{Z}_4\)-linear codes. Zbl 1018.94023Carlet, Claude 10 2000 Results on constructions of rotation symmetric bent and semi-bent functions. Zbl 1337.94115Carlet, Claude; Gao, Guangpu; Liu, Wenfen 9 2014 On the construction of bent vectorial functions. Zbl 1204.94119Carlet, Claude; Mesnager, Sihem 9 2010 CCZ-equivalence of bent vectorial functions and related constructions. Zbl 1215.94035Budaghyan, Lilya; Carlet, Claude 9 2011 On the coset weight divisibility and nonlinearity of resilient and correlation-immune functions. Zbl 1029.94023Carlet, Claude 9 2002 Comments on “Constructions of cryptographically significant Boolean functions using primitive polynomials”. Zbl 1365.94412Carlet, Claude 9 2011 Authentication schemes from highly nonlinear functions. Zbl 1192.94113Carlet, Claude; Ding, Cunsheng; Niederreiter, Harald 9 2006 New secondary constructions of bent functions. Zbl 1378.94072Zhang, Fengrong; Carlet, Claude; Hu, Yupu; Zhang, Wenzheng 9 2016 Open problems on binary bent functions. Zbl 1342.94134Carlet, Claude 9 2014 On \(\sigma\)-LCD codes. Zbl 1431.94181Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng 9 2019 On the higher order nonlinearities of algebraic immune functions. Zbl 1129.94015Carlet, Claude 9 2006 CCZ-equivalence of single and multi output Boolean functions. Zbl 1206.94055Budaghyan, Lilya; Carlet, Claude 8 2010 Partially-bent functions. Zbl 0817.94012Carlet, Claude 8 1993 A new representation of Boolean functions. Zbl 0979.94040Carlet, Claude; Guillot, Philippe 8 1999 On generalized bent and \(q\)-ary perfect nonlinear functions. Zbl 1010.94549Carlet, Claude; Dubuc, Sylvie 7 2001 On cryptographic propagation criteria for Boolean functions. Zbl 1011.94012Carlet, Claude 7 1999 Covering sequences of Boolean functions and their cryptographic significance. Zbl 1035.94009Carlet, C.; Tarannikov, Yu. 7 2002 An alternate characterization of the bentness of binary functions, with uniqueness. Zbl 0956.94008Carlet, Claude; Guillot, Philippe 7 1998 On highly nonlinear S-boxes and their inability to thwart DPA attacks. Zbl 1153.94359Carlet, Claude 7 2005 Classification of bent monomials, constructions of bent multinomials and upper bounds on the nonlinearity of vectorial functions. Zbl 1390.94955Xu, Yuwei; Carlet, Claude; Mesnager, Sihem; Wu, Chuankun 7 2018 Two constructions of balanced Boolean functions with optimal algebraic immunity, high nonlinearity and good behavior against fast algebraic attacks. Zbl 1360.94316Li, Jiao; Carlet, Claude; Zeng, Xiangyong; Li, Chunlei; Hu, Lei; Shan, Jinyong 7 2015 Algebraic decomposition for probing security. Zbl 1375.94108Carlet, Claude; Prouff, Emmanuel; Rivain, Matthieu; Roche, Thomas 7 2015 A new class of codes for Boolean masking of cryptographic computations. Zbl 1364.94530Carlet, Claude; Gaborit, Philippe; Kim, Jon-Lark; Solé, Patrick 7 2012 An infinite class of balanced vectorial Boolean functions with optimum algebraic immunity and good nonlinearity. Zbl 1248.94060Carlet, Claude; Feng, Keqin 6 2009 Characterizations of the differential uniformity of vectorial functions by the Walsh transform. Zbl 1401.94261Carlet, Claude 6 2018 Statistical properties of side-channel and fault injection attacks using coding theory. Zbl 06875341Carlet, Claude; Guilley, Sylvain 6 2018 Constructing low-weight \(d\)th-order correlation-immune Boolean functions through the Fourier-Hadamard transform. Zbl 1392.94965Carlet, Claude; Chen, Xi 6 2018 On the propagation criterion of degree \(l\) and order \(k\). Zbl 0919.94013Carlet, Claude 6 1998 Univariate Niho bent functions from o-polynomials. Zbl 1359.94930Budaghyan, Lilya; Kholosha, Alexander; Carlet, Claude; Helleseth, Tor 6 2016 Construction of some codes suitable for both side channel and fault injection attacks. Zbl 1446.94111Carlet, Claude; Güneri, Cem; Mesnager, Sihem; Özbudak, Ferruh 6 2018 A new concatenated type construction for LCD codes and isometry codes. Zbl 1419.94064Carlet, Claude; Güneri, Cem; Özbudak, Ferruh; Solé, Patrick 5 2018 Generalized isotopic shift construction for APN functions. Zbl 1458.94201Budaghyan, Lilya; Calderini, Marco; Carlet, Claude; Coulter, Robert; Villa, Irene 4 2021 Boolean functions for cryptography and coding theory. Zbl 07162674Carlet, Claude 25 2020 Constructing APN functions through isotopic shifts. Zbl 1446.94085Budaghyan, Lilya; Calderini, Marco; Carlet, Claude; Coulter, Robert S.; Villa, Irene 10 2020 On the distance between APN functions. Zbl 1448.94308Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kaleyski, Nikolay 4 2020 New characterization and parametrization of LCD codes. Zbl 1431.94143Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng 16 2019 On \(\sigma\)-LCD codes. Zbl 1431.94181Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng 9 2019 Improved filter permutators for efficient FHE: better instances and implementations. Zbl 1456.94100Méaux, Pierrick; Carlet, Claude; Journault, Anthony; Standaert, François-Xavier 2 2019 On APN exponents, characterizations of differentially uniform functions by the Walsh transform, and related cyclic-difference-set-like structures. Zbl 1454.94149Carlet, Claude 2 2019 Boolean functions for homomorphic-friendly stream ciphers. Zbl 1457.94106Carlet, Claude; Méaux, Pierrick 1 2019 Linear codes with small hulls in semi-primitive case. Zbl 1423.94145Carlet, Claude; Li, Chengju; Mesnager, Sihem 1 2019 Linear codes over \(\mathbb F_q\) are equivalent to LCD codes for \(q>3\). Zbl 1392.94926Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng; Pellikaan, Ruud 51 2018 Euclidean and Hermitian LCD MDS codes. Zbl 1401.94199Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng 39 2018 On linear complementary pairs of codes. Zbl 1401.94198Carlet, Claude; Güneri, Cem; Özbudak, Ferruh; Özkaya, Buket; Solé, Patrick 10 2018 Classification of bent monomials, constructions of bent multinomials and upper bounds on the nonlinearity of vectorial functions. Zbl 1390.94955Xu, Yuwei; Carlet, Claude; Mesnager, Sihem; Wu, Chuankun 7 2018 Characterizations of the differential uniformity of vectorial functions by the Walsh transform. Zbl 1401.94261Carlet, Claude 6 2018 Statistical properties of side-channel and fault injection attacks using coding theory. Zbl 06875341Carlet, Claude; Guilley, Sylvain 6 2018 Constructing low-weight \(d\)th-order correlation-immune Boolean functions through the Fourier-Hadamard transform. Zbl 1392.94965Carlet, Claude; Chen, Xi 6 2018 Construction of some codes suitable for both side channel and fault injection attacks. Zbl 1446.94111Carlet, Claude; Güneri, Cem; Mesnager, Sihem; Özbudak, Ferruh 6 2018 A new concatenated type construction for LCD codes and isometry codes. Zbl 1419.94064Carlet, Claude; Güneri, Cem; Özbudak, Ferruh; Solé, Patrick 5 2018 On upper bounds for algebraic degrees of APN functions. Zbl 1395.94391Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Li, Nian; Sun, Bo 5 2018 Componentwise APNness, Walsh uniformity of APN functions, and cyclic-additive difference sets. Zbl 1423.94059Carlet, Claude 2 2018 On the nonlinearity of monotone Boolean functions. Zbl 1419.94032Carlet, Claude 2 2018 Binary linear codes from vectorial Boolean functions and their weight distribution. Zbl 1403.94113Tang, Deng; Carlet, Claude; Zhou, Zhengchun 5 2017 Construction of highly nonlinear 1-resilient Boolean functions with optimal algebraic immunity and provably high fast algebraic immunity. Zbl 1374.94956Tang, Deng; Carlet, Claude; Tang, Xiaohu; Zhou, Zhengchun 4 2017 Explicit characterizations for plateaued-Ness of \(p\)-ary (vectorial) functions. Zbl 1420.94122Carlet, Claude; Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet 3 2017 Three basic questions on Boolean functions. Zbl 1425.94089Carlet, Claude; Feukoua, Serge 1 2017 Four decades of research on bent functions. Zbl 1378.94028Carlet, Claude; Mesnager, Sihem 59 2016 Complementary dual codes for counter-measures to side-channel attacks. Zbl 1352.94091Carlet, Claude; Guilley, Sylvain 47 2016 Towards stream ciphers for efficient FHE with low-noise ciphertexts. Zbl 1384.94086Méaux, Pierrick; Journault, Anthony; Standaert, François-Xavier; Carlet, Claude 22 2016 New secondary constructions of bent functions. Zbl 1378.94072Zhang, Fengrong; Carlet, Claude; Hu, Yupu; Zhang, Wenzheng 9 2016 Univariate Niho bent functions from o-polynomials. Zbl 1359.94930Budaghyan, Lilya; Kholosha, Alexander; Carlet, Claude; Helleseth, Tor 6 2016 Quadratic zero-difference balanced functions, APN functions and strongly regular graphs. Zbl 1333.11112Carlet, Claude; Gong, Guang; Tan, Yin 3 2016 Cryptographic properties of monotone Boolean functions. Zbl 1338.94070Carlet, Claude; Joyner, David; Stănică, Pantelimon; Tang, Deng 3 2016 Complementary dual codes for counter-measures to side-channel attacks. Zbl 1398.94209Carlet, Claude; Guilley, Sylvain 38 2015 Differentially 4-uniform bijections by permuting the inverse function. Zbl 1329.94079Tang, Deng; Carlet, Claude; Tang, Xiaohu 31 2015 Boolean and vectorial plateaued functions and APN functions. Zbl 1359.94931Carlet, Claude 25 2015 Open questions on nonlinearity and on APN functions. Zbl 1400.94133Carlet, Claude 12 2015 Two constructions of balanced Boolean functions with optimal algebraic immunity, high nonlinearity and good behavior against fast algebraic attacks. Zbl 1360.94316Li, Jiao; Carlet, Claude; Zeng, Xiangyong; Li, Chunlei; Hu, Lei; Shan, Jinyong 7 2015 Algebraic decomposition for probing security. Zbl 1375.94108Carlet, Claude; Prouff, Emmanuel; Rivain, Matthieu; Roche, Thomas 7 2015 On o-equivalence of Niho bent functions. Zbl 1400.94199Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander 4 2015 Enhanced Boolean functions suitable for the filter model of pseudo-random generator. Zbl 1359.94573Carlet, Claude; Tang, Deng 2 2015 On the properties of vectorial functions with plateaued components and their consequences on APN functions. Zbl 1441.94119Carlet, Claude 2 2015 A new construction of differentially 4-uniform \((n,n-1)\)-functions. Zbl 1366.94481Carlet, Claude; Alsalami, Yousuf 2 2015 A secondary construction and a transformation on rotation symmetric functions, and their action on bent and semi-bent functions. Zbl 1297.05239Carlet, Claude; Gao, Guangpu; Liu, Wenfen 24 2014 New construction of differentially 4-uniform bijections. Zbl 1347.94024Carlet, Claude; Tang, Deng; Tang, Xiaohu; Liao, Qunying 15 2014 Secondary constructions of highly nonlinear Boolean functions and disjoint spectra plateaued functions. Zbl 1360.94340Zhang, Feng-Rong; Carlet, Claude; Hu, Yu-Pu; Cao, Tian-Jie 10 2014 Results on constructions of rotation symmetric bent and semi-bent functions. Zbl 1337.94115Carlet, Claude; Gao, Guangpu; Liu, Wenfen 9 2014 Open problems on binary bent functions. Zbl 1342.94134Carlet, Claude 9 2014 Cryptographic properties of the hidden weighted bit function. Zbl 1298.94110Wang, Qichun; Carlet, Claude; Stănică, Pantelimon; Tan, Chik How 4 2014 Higher-order CIS codes. Zbl 1360.94362Carlet, Claude; Freibert, Finley; Guilley, Sylvain; Kiermaier, Michael; Kim, Jon-Lark; Solé, Patrick 4 2014 Leakage squeezing: optimal implementation and security evaluation. Zbl 1372.94414Carlet, Claude; Danger, Jean-Luc; Guilley, Sylvain; Maghrebi, Houssem 3 2014 A class of 1-resilient Boolean functions with optimal algebraic immunity and good behavior against fast algebraic attacks. Zbl 1316.94091Tang, Deng; Carlet, Claude; Tang, Xiaohu 2 2014 On the arithmetic Walsh coefficients of Boolean functions. Zbl 1308.94120Carlet, Claude; Klapper, Andrew 1 2014 Handbook of finite fields. Zbl 1319.11001 152 2013 Highly nonlinear Boolean functions with optimal algebraic immunity and good behavior against fast algebraic attacks. Zbl 1364.94808Tang, Deng; Carlet, Claude; Tang, Xiaohu 30 2013 More constructions of APN and differentially 4-uniform functions by concatenation. Zbl 1336.11077Carlet, Claude 10 2013 On the second-order nonlinearities of some bent functions. Zbl 1293.94097Tang, Deng; Carlet, Claude; Tang, Xiaohu 5 2013 Correlation-immune Boolean functions for leakage squeezing and rotating S-box masking against side channel attacks. Zbl 1355.94050Carlet, Claude 3 2013 A survey on nonlinear Boolean functions with optimal algebraic immunity suitable for stream ciphers. Zbl 1342.94067Carlet, Claude 2 2013 Constructions of quadratic and cubic rotation symmetric bent functions. Zbl 1365.94670Gao, Guangpu; Zhang, Xiyong; Liu, Wenfen; Carlet, Claude 18 2012 Higher-order masking schemes for S-boxes. Zbl 1312.94037Carlet, Claude; Goubin, Louis; Prouff, Emmanuel; Quisquater, Michael; Rivain, Matthieu 16 2012 Further results on Niho bent functions. Zbl 1364.94797Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem 13 2012 Secondary constructions of bent functions and their enforcement. Zbl 1272.94017Carlet, Claude; Zhang, Fengrong; Hu, Yupu 12 2012 On semibent Boolean functions. Zbl 1365.94666Carlet, Claude; Mesnager, Sihem 10 2012 A new class of codes for Boolean masking of cryptographic computations. Zbl 1364.94530Carlet, Claude; Gaborit, Philippe; Kim, Jon-Lark; Solé, Patrick 7 2012 Leakage squeezing of order two. Zbl 1295.94031Carlet, Claude; Danger, Jean-Luc; Guilley, Sylvain; Maghrebi, Houssem 3 2012 Optimal first-order masking with linear and non-linear bijections. Zbl 1291.94123Maghrebi, Houssem; Carlet, Claude; Guilley, Sylvain; Danger, Jean-Luc 1 2012 Bent functions on a Galois ring and systematic authentication codes. Zbl 1272.94076Carlet, Claude; Ku-Cauich, Juan Carlos; Tapia-Recillas, Horacio 1 2012 On Dillon’s class \(H\) of bent functions, Niho bent functions and o-polynomials. Zbl 1236.94052Carlet, Claude; Mesnager, Sihem 31 2011 More balanced Boolean functions with optimal algebraic immunity and good nonlinearity and resistance to fast algebraic attacks. Zbl 1365.94686Zeng, Xiangyong; Carlet, Claude; Shan, Jinyong; Hu, Lei 25 2011 Relating three nonlinearity parameters of vectorial functions and building APN functions from bent functions. Zbl 1229.94041Carlet, Claude 24 2011 On known and new differentially uniform functions. Zbl 1279.94060Carlet, Claude 24 2011 CCZ-equivalence of bent vectorial functions and related constructions. Zbl 1215.94035Budaghyan, Lilya; Carlet, Claude 9 2011 Comments on “Constructions of cryptographically significant Boolean functions using primitive polynomials”. Zbl 1365.94412Carlet, Claude 9 2011 More vectorial Boolean functions with unbounded nonlinearity profile. Zbl 1236.94051Carlet, Claude 4 2011 Boolean functions for cryptography and error-correcting codes. Zbl 1209.94035Carlet, Claude 234 2010 Vectorial Boolean functions for cryptography. Zbl 1209.94036Carlet, Claude 125 2010 Self-dual bent functions. Zbl 1204.94118Carlet, Claude; Danielsen, Lars Eirik; Parker, Matthew G.; Solé, Patrick 19 2010 On the construction of bent vectorial functions. Zbl 1204.94119Carlet, Claude; Mesnager, Sihem 9 2010 CCZ-equivalence of single and multi output Boolean functions. Zbl 1206.94055Budaghyan, Lilya; Carlet, Claude 8 2010 Constructing new APN functions from known ones. Zbl 1184.94228Budaghyan, Lilya; Carlet, Claude; Leander, Gregor 57 2009 Further properties of several classes of Boolean functions with optimum algebraic immunity. Zbl 1174.94012Carlet, Claude; Zeng, Xiangyong; Li, Chunlei; Hu, Lei 31 2009 An infinite class of balanced vectorial Boolean functions with optimum algebraic immunity and good nonlinearity. Zbl 1248.94060Carlet, Claude; Feng, Keqin 6 2009 Two classes of quadratic APN binomials inequivalent to power functions. Zbl 1177.94135Budaghyan, Lilya; Carlet, Claude; Leander, Gregor 57 2008 An infinite class of balanced functions with optimal algebraic immunity, good immunity to fast algebraic attacks and good nonlinearity. Zbl 1206.94060Carlet, Claude; Feng, Keqin 53 2008 Classes of quadratic APN trinomials and hexanomials and related structures. Zbl 1177.94134Budaghyan, Lilya; Carlet, Claude 44 2008 Recursive lower bounds on the nonlinearity profile of Boolean functions and their applications. Zbl 1192.94145Carlet, Claude 24 2008 A method of construction of balanced functions with optimum algebraic immunity. Zbl 1160.94009Carlet, Claude 11 2008 On the higher order nonlinearities of Boolean functions and S-boxes, and their generalizations (invited paper). Zbl 1206.94059Carlet, Claude 4 2008 On a improved correlation analysis of stream ciphers using multi-output Boolean functions and the related generalized notion of nonlinearity. Zbl 1274.94049Carlet, Claude; Khoo, Khoongming; Lim, Chu-Wee; Loe, Chuan-Wen 2 2008 Improving the upper bounds on the covering radii of binary Reed-Muller codes. Zbl 1192.94139Carlet, Claude; Mesnager, Sihem 17 2007 Nonlinearities of S-boxes. Zbl 1122.94026Carlet, Claude; Ding, Cunsheng 16 2007 Generalized correlation analysis of vectorial Boolean functions. Zbl 1186.94429Carlet, Claude; Khoo, Khoongming; Lim, Chu-Wee; Loe, Chuan-Wen 1 2007 New classes of almost bent and almost perfect nonlinear polynomials. Zbl 1177.94136Budaghyan, Lilya; Carlet, Claude; Pott, Alexander 77 2006 Algebraic immunity for cryptographically significant Boolean functions: analysis and construction. Zbl 1192.94091Carlet, Claude; Dalai, Deepak Kumar; Gupta, Kishan Chand; Maitra, Subhamoy 63 2006 The weight distribution of a class of linear codes from perfect nonlinear functions. Zbl 1192.94128Yuan, Jin; Carlet, Claude; Ding, Cunsheng 56 2006 Construction of bent functions via Niho power functions. Zbl 1095.94030Dobbertin, Hans; Leander, Gregor; Canteaut, Anne; Carlet, Claude; Felke, Patrick; Gaborit, Philippe 43 2006 Efficient computation of algebraic immunity for algebraic and fast algebraic attacks. Zbl 1140.94320Armknecht, Frederik; Carlet, Claude; Gaborit, Philippe; Künzli, Simon; Meier, Willi; Ruatta, Olivier 28 2006 On bent and highly nonlinear balanced/resilient functions and their algebraic immunities. Zbl 1125.94014Carlet, Claude 24 2006 Hyper-bent functions and cyclic codes. Zbl 1086.94031Carlet, Claude; Gaborit, Philippe 12 2006 ...and 51 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,131 Authors 61 Carlet, Claude 56 Mesnager, Sihem 28 Hu, Lei 28 Pasalic, Enes 28 Stănică, Pantelimon 26 Ding, Cunsheng 26 Qu, Longjiang 25 Zeng, Xiangyong 24 Cao, Xiwang 24 Solé, Patrick 24 Yue, Qin 22 Li, Chao 22 Shi, Minjia 21 Tang, Chunming 20 Meidl, Wilfried 18 Özbudak, Ferruh 17 Gangopadhyay, Sugata 17 Maitra, Subhamoy 17 Zhang, Fengrong 17 Zhou, Zhengchun 16 Li, Chengju 16 Tan, Chik How 15 Budaghyan, Lilya 15 Pott, Alexander 15 Tang, Deng 15 Wang, Qichun 14 Leander, Gregor 14 Li, Chunlei 14 Li, Nian 13 Calderini, Marco 13 Canteaut, Anne 13 Fu, Fangwei 13 Helleseth, Tor 13 Su, Sihong 13 Zheng, Dabin 12 Qi, Yanfeng 12 Wei, Yongzhuang 12 Zha, Zhengbang 11 Charpin, Pascale 11 Gong, Guang 11 Zhang, Weiguo 10 Fan, Cuiling 10 Fu, Shaojing 10 Kyureghyan, Gohar M. 10 Lee, Yoonjin 10 Riera, Constanza 10 Xu, Guangkui 10 Yan, Haode 9 Bartoli, Daniele 9 Çeşmelioğlu, Ayça 9 Heng, Ziling 9 Hou, Xiang-Dong 9 Liu, Jian 9 Peng, Jie 9 Tan, Yin 9 Tang, Xiaohu 9 Wu, Yansheng 9 Zhou, Yue 8 Cusick, Thomas W. 8 Güneri, Cem 8 Hyun, Jong-Yoon 8 Kaleyski, Nikolay S. 8 Kim, Kwang Ho 8 Lin, Dongdai 8 Mandal, Bimal 8 Perrin, Léo 8 Wang, Xiaoqiang 8 Xu, Bangteng 8 Xu, Shanding 7 Bracken, Carl 7 Cepak, Nastja 7 Feng, Keqin 7 Harada, Masaaki 7 Liu, Zihui 7 Parker, Matthew Geoffrey 7 Sok, Lin 7 Sun, Lei 7 Villanueva, Mercè 7 Yang, Shudi 6 Fernández-Córdoba, Cristina 6 Göloğlu, Faruk 6 Gulliver, Thomas Aaron 6 Kolomeets, Nikolaĭ Aleksandrovich 6 Li, Fengwei 6 Li, Yongqiang 6 McGuire, Gary 6 Poinsot, Laurent 6 Prouff, Emmanuel 6 Sarkar, Palash 6 Schmidt, Kai-Uwe 6 Solov’eva, Faina Ivanovna 6 Tokareva, Natalia Nikolaevna 6 Topuzoǧlu, Alev 6 Villa, Irene 6 Wu, Chuankun 6 Zhu, Shixin 5 Abdukhalikov, Kanat S. 5 Anbar, Nurdagül 5 Beierle, Christof 5 Bierbrauer, Jürgen ...and 1,031 more Authors all top 5 Cited in 121 Serials 209 Designs, Codes and Cryptography 175 Cryptography and Communications 125 Finite Fields and their Applications 62 Discrete Applied Mathematics 45 Discrete Mathematics 42 Advances in Mathematics of Communications 34 Applicable Algebra in Engineering, Communication and Computing 18 Journal of Combinatorial Theory. Series A 18 Prikladnaya Diskretnaya Matematika 17 International Journal of Computer Mathematics 17 Journal of Systems Science and Complexity 17 Journal of Applied Mathematics and Computing 16 Information Processing Letters 16 International Journal of Foundations of Computer Science 14 Information Sciences 14 Matematicheskie Voprosy Kriptografii 12 Journal of Algebraic Combinatorics 11 Theoretical Computer Science 10 Science China. Mathematics 7 Journal of Cryptology 7 Wuhan University Journal of Natural Sciences (WUJNS) 6 Bulletin of the Australian Mathematical Society 6 Problems of Information Transmission 6 The Electronic Journal of Combinatorics 6 Journal of Discrete Mathematical Sciences & Cryptography 6 Discrete Mathematics, Algorithms and Applications 5 European Journal of Combinatorics 5 Discrete Mathematics and Applications 5 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 5 Journal of Algebra, Combinatorics, Discrete Structures and Applications 4 Journal of Algebra 4 Journal of Complexity 4 SIAM Journal on Discrete Mathematics 4 Journal of Combinatorial Designs 4 Mathematical Problems in Engineering 4 Journal of Algebra and its Applications 4 Science in China. Series F 4 Journal of Mathematical Cryptology 4 Science China. Information Sciences 3 Periodica Mathematica Hungarica 3 Journal of Pure and Applied Algebra 3 Journal of Statistical Planning and Inference 3 Linear Algebra and its Applications 3 Quantum Information Processing 3 Asian-European Journal of Mathematics 2 International Journal of Theoretical Physics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Linear and Multilinear Algebra 2 Annales de l’Institut Fourier 2 Journal of Computational and Applied Mathematics 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Information and Computation 2 Applied Mathematics Letters 2 Computational and Applied Mathematics 2 Annals of Combinatorics 2 Journal of Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Mathematics in Computer Science 2 Frontiers of Mathematics in China 1 IEEE Transactions on Information Theory 1 Israel Journal of Mathematics 1 Journal of the Franklin Institute 1 Mathematical Notes 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 ACM Transactions on Mathematical Software 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Computing 1 Glasgow Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Journal of Number Theory 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Computing 1 Journal of Information & Optimization Sciences 1 Bulletin of the Korean Mathematical Society 1 Note di Matematica 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Journal of Computer Science and Technology 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Neural Computation 1 Journal of Global Optimization 1 Games and Economic Behavior 1 SIAM Journal on Optimization 1 Computational Complexity 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 1 Algebra Colloquium 1 Advances in Applied Clifford Algebras 1 Filomat 1 Theory of Computing Systems 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics ...and 21 more Serials all top 5 Cited in 33 Fields 1,016 Information and communication theory, circuits (94-XX) 468 Number theory (11-XX) 221 Order, lattices, ordered algebraic structures (06-XX) 158 Combinatorics (05-XX) 61 Field theory and polynomials (12-XX) 55 Computer science (68-XX) 46 Geometry (51-XX) 41 Algebraic geometry (14-XX) 29 Group theory and generalizations (20-XX) 16 Quantum theory (81-XX) 14 Commutative algebra (13-XX) 10 Abstract harmonic analysis (43-XX) 9 Associative rings and algebras (16-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Probability theory and stochastic processes (60-XX) 6 Numerical analysis (65-XX) 5 Operations research, mathematical programming (90-XX) 3 Statistics (62-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Biology and other natural sciences (92-XX) Citations by Year