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Author ID: carlet.claude Recent zbMATH articles by "Carlet, Claude"
Published as: Carlet, Claude; Carlet, C.
Homepage: http://www.math.univ-paris13.fr/~carlet/english.html
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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

Publications by Year

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 1209.94035
Carlet, Claude
234
2010
Codes, bent functions and permutations suitable for DES-like cryptosystems. Zbl 0938.94011
Carlet, 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 1192.94114
Carlet, Claude; Ding, Cunsheng; Yuan, Jin
140
2005
Vectorial Boolean functions for cryptography. Zbl 1209.94036
Carlet, Claude
125
2010
Algebraic attacks and decomposition of Boolean functions. Zbl 1122.94041
Meier, Willi; Pasalic, Enes; Carlet, Claude
94
2004
Highly nonlinear mappings. Zbl 1053.94011
Carlet, Claude; Ding, Cunsheng
81
2004
New classes of almost bent and almost perfect nonlinear polynomials. Zbl 1177.94136
Budaghyan, Lilya; Carlet, Claude; Pott, Alexander
77
2006
Algebraic immunity for cryptographically significant Boolean functions: analysis and construction. Zbl 1192.94091
Carlet, Claude; Dalai, Deepak Kumar; Gupta, Kishan Chand; Maitra, Subhamoy
63
2006
Four decades of research on bent functions. Zbl 1378.94028
Carlet, Claude; Mesnager, Sihem
59
2016
Two classes of quadratic APN binomials inequivalent to power functions. Zbl 1177.94135
Budaghyan, Lilya; Carlet, Claude; Leander, Gregor
57
2008
Constructing new APN functions from known ones. Zbl 1184.94228
Budaghyan, Lilya; Carlet, Claude; Leander, Gregor
57
2009
The weight distribution of a class of linear codes from perfect nonlinear functions. Zbl 1192.94128
Yuan, 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 1206.94060
Carlet, Claude; Feng, Keqin
53
2008
Linear codes over \(\mathbb F_q\) are equivalent to LCD codes for \(q>3\). Zbl 1392.94926
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng; Pellikaan, Ruud
51
2018
Two new classes of bent functions. Zbl 0951.94542
Carlet, Claude
51
1994
Complementary dual codes for counter-measures to side-channel attacks. Zbl 1352.94091
Carlet, Claude; Guilley, Sylvain
47
2016
Classes of quadratic APN trinomials and hexanomials and related structures. Zbl 1177.94134
Budaghyan, Lilya; Carlet, Claude
44
2008
Construction of bent functions via Niho power functions. Zbl 1095.94030
Dobbertin, Hans; Leander, Gregor; Canteaut, Anne; Carlet, Claude; Felke, Patrick; Gaborit, Philippe
43
2006
Euclidean and Hermitian LCD MDS codes. Zbl 1401.94199
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
39
2018
Complementary dual codes for counter-measures to side-channel attacks. Zbl 1398.94209
Carlet, Claude; Guilley, Sylvain
38
2015
On correlation-immune functions. Zbl 0763.94006
Camion, P.; Carlet, C.; Charpin, P.; Sendrier, N.
36
1992
\(\mathbb{Z}_{2^k}\)-linear codes. Zbl 0935.94028
Carlet, Claude
34
1998
Partially-bent functions. Zbl 0772.94005
Carlet, Claude
33
1993
On cryptographic properties of the cosets of \(R(1,m)\). Zbl 1021.94014
Canteaut, Anne; Carlet, Claude; Charpin, Pascale; Fontaine, Caroline
32
2001
On Dillon’s class \(H\) of bent functions, Niho bent functions and o-polynomials. Zbl 1236.94052
Carlet, Claude; Mesnager, Sihem
31
2011
Further properties of several classes of Boolean functions with optimum algebraic immunity. Zbl 1174.94012
Carlet, Claude; Zeng, Xiangyong; Li, Chunlei; Hu, Lei
31
2009
Differentially 4-uniform bijections by permuting the inverse function. Zbl 1329.94079
Tang, Deng; Carlet, Claude; Tang, Xiaohu
31
2015
Highly nonlinear Boolean functions with optimal algebraic immunity and good behavior against fast algebraic attacks. Zbl 1364.94808
Tang, Deng; Carlet, Claude; Tang, Xiaohu
30
2013
Efficient computation of algebraic immunity for algebraic and fast algebraic attacks. Zbl 1140.94320
Armknecht, 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 1365.94686
Zeng, Xiangyong; Carlet, Claude; Shan, Jinyong; Hu, Lei
25
2011
Boolean functions for cryptography and coding theory. Zbl 07162674
Carlet, Claude
25
2020
Boolean and vectorial plateaued functions and APN functions. Zbl 1359.94931
Carlet, Claude
25
2015
Relating three nonlinearity parameters of vectorial functions and building APN functions from bent functions. Zbl 1229.94041
Carlet, Claude
24
2011
On known and new differentially uniform functions. Zbl 1279.94060
Carlet, Claude
24
2011
A secondary construction and a transformation on rotation symmetric functions, and their action on bent and semi-bent functions. Zbl 1297.05239
Carlet, Claude; Gao, Guangpu; Liu, Wenfen
24
2014
Recursive lower bounds on the nonlinearity profile of Boolean functions and their applications. Zbl 1192.94145
Carlet, Claude
24
2008
On bent and highly nonlinear balanced/resilient functions and their algebraic immunities. Zbl 1125.94014
Carlet, Claude
24
2006
Towards stream ciphers for efficient FHE with low-noise ciphertexts. Zbl 1384.94086
Méaux, Pierrick; Journault, Anthony; Standaert, François-Xavier; Carlet, Claude
22
2016
On plateaued functions and their constructions. Zbl 1254.94028
Carlet, Claude; Prouff, Emmanuel
20
2003
On the secondary constructions of resilient and bent functions. Zbl 1062.94036
Carlet, Claude
20
2004
Self-dual bent functions. Zbl 1204.94118
Carlet, Claude; Danielsen, Lars Eirik; Parker, Matthew G.; Solé, Patrick
19
2010
Constructions of quadratic and cubic rotation symmetric bent functions. Zbl 1365.94670
Gao, Guangpu; Zhang, Xiyong; Liu, Wenfen; Carlet, Claude
18
2012
Improving the upper bounds on the covering radii of binary Reed-Muller codes. Zbl 1192.94139
Carlet, Claude; Mesnager, Sihem
17
2007
A construction of bent functions. Zbl 0871.94027
Carlet, Claude
16
1996
Generalized partial spreads. Zbl 0831.94022
Carlet, Claude
16
1995
New characterization and parametrization of LCD codes. Zbl 1431.94143
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
16
2019
Nonlinearities of S-boxes. Zbl 1122.94026
Carlet, Claude; Ding, Cunsheng
16
2007
Higher-order masking schemes for S-boxes. Zbl 1312.94037
Carlet, Claude; Goubin, Louis; Prouff, Emmanuel; Quisquater, Michael; Rivain, Matthieu
16
2012
Propagation characteristics and correlation-immunity of highly nonlinear Boolean functions. Zbl 1082.94510
Canteaut, Anne; Carlet, Claude; Charpin, Pascale; Fontaine, Caroline
15
2000
A characterization of binary bent functions. Zbl 0861.94014
Carlet, Claude; Guillot, Philippe
15
1996
New construction of differentially 4-uniform bijections. Zbl 1347.94024
Carlet, 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 1192.94090
Carlet, Claude
15
2004
Normal extensions of bent functions. Zbl 1184.94232
Carlet, Claude; Dobbertin, Hans; Leander, Gregor
14
2004
Further results on Niho bent functions. Zbl 1364.94797
Budaghyan, 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 1026.94518
Carlet, Claude
12
2002
Hyper-bent functions and cyclic codes. Zbl 1086.94031
Carlet, Claude; Gaborit, Philippe
12
2006
Open questions on nonlinearity and on APN functions. Zbl 1400.94133
Carlet, Claude
12
2015
Secondary constructions of bent functions and their enforcement. Zbl 1272.94017
Carlet, Claude; Zhang, Fengrong; Hu, Yupu
12
2012
Spectral domain analysis of correlation immune and resilient Boolean functions. Zbl 1003.94024
Carlet, Claude; Sarkar, Palash
11
2002
Piecewise constructions of bent and almost optimal Boolean functions. Zbl 1142.94336
Carlet, Claude; Yucas, Joseph L.
11
2005
On the confusion and diffusion properties of Maiorana-McFarland’s and extended Maiorana-McFarland’s functions. Zbl 1057.94016
Carlet, Claude
11
2004
A method of construction of balanced functions with optimum algebraic immunity. Zbl 1160.94009
Carlet, Claude
11
2008
On cryptographic complexity of Boolean functions. Zbl 1021.94524
Carlet, Claude
10
2002
On semibent Boolean functions. Zbl 1365.94666
Carlet, Claude; Mesnager, Sihem
10
2012
Constructing APN functions through isotopic shifts. Zbl 1446.94085
Budaghyan, Lilya; Calderini, Marco; Carlet, Claude; Coulter, Robert S.; Villa, Irene
10
2020
On linear complementary pairs of codes. Zbl 1401.94198
Carlet, Claude; Güneri, Cem; Özbudak, Ferruh; Özkaya, Buket; Solé, Patrick
10
2018
Secondary constructions of highly nonlinear Boolean functions and disjoint spectra plateaued functions. Zbl 1360.94340
Zhang, Feng-Rong; Carlet, Claude; Hu, Yu-Pu; Cao, Tian-Jie
10
2014
More constructions of APN and differentially 4-uniform functions by concatenation. Zbl 1336.11077
Carlet, Claude
10
2013
One-weight \(\mathbb{Z}_4\)-linear codes. Zbl 1018.94023
Carlet, Claude
10
2000
Results on constructions of rotation symmetric bent and semi-bent functions. Zbl 1337.94115
Carlet, Claude; Gao, Guangpu; Liu, Wenfen
9
2014
On the construction of bent vectorial functions. Zbl 1204.94119
Carlet, Claude; Mesnager, Sihem
9
2010
CCZ-equivalence of bent vectorial functions and related constructions. Zbl 1215.94035
Budaghyan, Lilya; Carlet, Claude
9
2011
On the coset weight divisibility and nonlinearity of resilient and correlation-immune functions. Zbl 1029.94023
Carlet, Claude
9
2002
Comments on “Constructions of cryptographically significant Boolean functions using primitive polynomials”. Zbl 1365.94412
Carlet, Claude
9
2011
Authentication schemes from highly nonlinear functions. Zbl 1192.94113
Carlet, Claude; Ding, Cunsheng; Niederreiter, Harald
9
2006
New secondary constructions of bent functions. Zbl 1378.94072
Zhang, Fengrong; Carlet, Claude; Hu, Yupu; Zhang, Wenzheng
9
2016
Open problems on binary bent functions. Zbl 1342.94134
Carlet, Claude
9
2014
On \(\sigma\)-LCD codes. Zbl 1431.94181
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
9
2019
On the higher order nonlinearities of algebraic immune functions. Zbl 1129.94015
Carlet, Claude
9
2006
CCZ-equivalence of single and multi output Boolean functions. Zbl 1206.94055
Budaghyan, Lilya; Carlet, Claude
8
2010
Partially-bent functions. Zbl 0817.94012
Carlet, Claude
8
1993
A new representation of Boolean functions. Zbl 0979.94040
Carlet, Claude; Guillot, Philippe
8
1999
On generalized bent and \(q\)-ary perfect nonlinear functions. Zbl 1010.94549
Carlet, Claude; Dubuc, Sylvie
7
2001
On cryptographic propagation criteria for Boolean functions. Zbl 1011.94012
Carlet, Claude
7
1999
Covering sequences of Boolean functions and their cryptographic significance. Zbl 1035.94009
Carlet, C.; Tarannikov, Yu.
7
2002
An alternate characterization of the bentness of binary functions, with uniqueness. Zbl 0956.94008
Carlet, Claude; Guillot, Philippe
7
1998
On highly nonlinear S-boxes and their inability to thwart DPA attacks. Zbl 1153.94359
Carlet, Claude
7
2005
Classification of bent monomials, constructions of bent multinomials and upper bounds on the nonlinearity of vectorial functions. Zbl 1390.94955
Xu, 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 1360.94316
Li, Jiao; Carlet, Claude; Zeng, Xiangyong; Li, Chunlei; Hu, Lei; Shan, Jinyong
7
2015
Algebraic decomposition for probing security. Zbl 1375.94108
Carlet, Claude; Prouff, Emmanuel; Rivain, Matthieu; Roche, Thomas
7
2015
A new class of codes for Boolean masking of cryptographic computations. Zbl 1364.94530
Carlet, 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 1248.94060
Carlet, Claude; Feng, Keqin
6
2009
Characterizations of the differential uniformity of vectorial functions by the Walsh transform. Zbl 1401.94261
Carlet, Claude
6
2018
Statistical properties of side-channel and fault injection attacks using coding theory. Zbl 06875341
Carlet, Claude; Guilley, Sylvain
6
2018
Constructing low-weight \(d\)th-order correlation-immune Boolean functions through the Fourier-Hadamard transform. Zbl 1392.94965
Carlet, Claude; Chen, Xi
6
2018
On the propagation criterion of degree \(l\) and order \(k\). Zbl 0919.94013
Carlet, Claude
6
1998
Univariate Niho bent functions from o-polynomials. Zbl 1359.94930
Budaghyan, Lilya; Kholosha, Alexander; Carlet, Claude; Helleseth, Tor
6
2016
Construction of some codes suitable for both side channel and fault injection attacks. Zbl 1446.94111
Carlet, Claude; Güneri, Cem; Mesnager, Sihem; Özbudak, Ferruh
6
2018
A new concatenated type construction for LCD codes and isometry codes. Zbl 1419.94064
Carlet, Claude; Güneri, Cem; Özbudak, Ferruh; Solé, Patrick
5
2018
Generalized isotopic shift construction for APN functions. Zbl 1458.94201
Budaghyan, Lilya; Calderini, Marco; Carlet, Claude; Coulter, Robert; Villa, Irene
4
2021
Boolean functions for cryptography and coding theory. Zbl 07162674
Carlet, Claude
25
2020
Constructing APN functions through isotopic shifts. Zbl 1446.94085
Budaghyan, Lilya; Calderini, Marco; Carlet, Claude; Coulter, Robert S.; Villa, Irene
10
2020
On the distance between APN functions. Zbl 1448.94308
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kaleyski, Nikolay
4
2020
New characterization and parametrization of LCD codes. Zbl 1431.94143
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
16
2019
On \(\sigma\)-LCD codes. Zbl 1431.94181
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
9
2019
Improved filter permutators for efficient FHE: better instances and implementations. Zbl 1456.94100
Méaux, 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 1454.94149
Carlet, Claude
2
2019
Boolean functions for homomorphic-friendly stream ciphers. Zbl 1457.94106
Carlet, Claude; Méaux, Pierrick
1
2019
Linear codes with small hulls in semi-primitive case. Zbl 1423.94145
Carlet, Claude; Li, Chengju; Mesnager, Sihem
1
2019
Linear codes over \(\mathbb F_q\) are equivalent to LCD codes for \(q>3\). Zbl 1392.94926
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng; Pellikaan, Ruud
51
2018
Euclidean and Hermitian LCD MDS codes. Zbl 1401.94199
Carlet, Claude; Mesnager, Sihem; Tang, Chunming; Qi, Yanfeng
39
2018
On linear complementary pairs of codes. Zbl 1401.94198
Carlet, 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 1390.94955
Xu, Yuwei; Carlet, Claude; Mesnager, Sihem; Wu, Chuankun
7
2018
Characterizations of the differential uniformity of vectorial functions by the Walsh transform. Zbl 1401.94261
Carlet, Claude
6
2018
Statistical properties of side-channel and fault injection attacks using coding theory. Zbl 06875341
Carlet, Claude; Guilley, Sylvain
6
2018
Constructing low-weight \(d\)th-order correlation-immune Boolean functions through the Fourier-Hadamard transform. Zbl 1392.94965
Carlet, Claude; Chen, Xi
6
2018
Construction of some codes suitable for both side channel and fault injection attacks. Zbl 1446.94111
Carlet, Claude; Güneri, Cem; Mesnager, Sihem; Özbudak, Ferruh
6
2018
A new concatenated type construction for LCD codes and isometry codes. Zbl 1419.94064
Carlet, Claude; Güneri, Cem; Özbudak, Ferruh; Solé, Patrick
5
2018
On upper bounds for algebraic degrees of APN functions. Zbl 1395.94391
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Li, Nian; Sun, Bo
5
2018
Componentwise APNness, Walsh uniformity of APN functions, and cyclic-additive difference sets. Zbl 1423.94059
Carlet, Claude
2
2018
On the nonlinearity of monotone Boolean functions. Zbl 1419.94032
Carlet, Claude
2
2018
Binary linear codes from vectorial Boolean functions and their weight distribution. Zbl 1403.94113
Tang, 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 1374.94956
Tang, Deng; Carlet, Claude; Tang, Xiaohu; Zhou, Zhengchun
4
2017
Explicit characterizations for plateaued-Ness of \(p\)-ary (vectorial) functions. Zbl 1420.94122
Carlet, Claude; Mesnager, Sihem; Özbudak, Ferruh; Sınak, Ahmet
3
2017
Three basic questions on Boolean functions. Zbl 1425.94089
Carlet, Claude; Feukoua, Serge
1
2017
Four decades of research on bent functions. Zbl 1378.94028
Carlet, Claude; Mesnager, Sihem
59
2016
Complementary dual codes for counter-measures to side-channel attacks. Zbl 1352.94091
Carlet, Claude; Guilley, Sylvain
47
2016
Towards stream ciphers for efficient FHE with low-noise ciphertexts. Zbl 1384.94086
Méaux, Pierrick; Journault, Anthony; Standaert, François-Xavier; Carlet, Claude
22
2016
New secondary constructions of bent functions. Zbl 1378.94072
Zhang, Fengrong; Carlet, Claude; Hu, Yupu; Zhang, Wenzheng
9
2016
Univariate Niho bent functions from o-polynomials. Zbl 1359.94930
Budaghyan, Lilya; Kholosha, Alexander; Carlet, Claude; Helleseth, Tor
6
2016
Quadratic zero-difference balanced functions, APN functions and strongly regular graphs. Zbl 1333.11112
Carlet, Claude; Gong, Guang; Tan, Yin
3
2016
Cryptographic properties of monotone Boolean functions. Zbl 1338.94070
Carlet, Claude; Joyner, David; Stănică, Pantelimon; Tang, Deng
3
2016
Complementary dual codes for counter-measures to side-channel attacks. Zbl 1398.94209
Carlet, Claude; Guilley, Sylvain
38
2015
Differentially 4-uniform bijections by permuting the inverse function. Zbl 1329.94079
Tang, Deng; Carlet, Claude; Tang, Xiaohu
31
2015
Boolean and vectorial plateaued functions and APN functions. Zbl 1359.94931
Carlet, Claude
25
2015
Open questions on nonlinearity and on APN functions. Zbl 1400.94133
Carlet, Claude
12
2015
Two constructions of balanced Boolean functions with optimal algebraic immunity, high nonlinearity and good behavior against fast algebraic attacks. Zbl 1360.94316
Li, Jiao; Carlet, Claude; Zeng, Xiangyong; Li, Chunlei; Hu, Lei; Shan, Jinyong
7
2015
Algebraic decomposition for probing security. Zbl 1375.94108
Carlet, Claude; Prouff, Emmanuel; Rivain, Matthieu; Roche, Thomas
7
2015
On o-equivalence of Niho bent functions. Zbl 1400.94199
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander
4
2015
Enhanced Boolean functions suitable for the filter model of pseudo-random generator. Zbl 1359.94573
Carlet, Claude; Tang, Deng
2
2015
On the properties of vectorial functions with plateaued components and their consequences on APN functions. Zbl 1441.94119
Carlet, Claude
2
2015
A new construction of differentially 4-uniform \((n,n-1)\)-functions. Zbl 1366.94481
Carlet, 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 1297.05239
Carlet, Claude; Gao, Guangpu; Liu, Wenfen
24
2014
New construction of differentially 4-uniform bijections. Zbl 1347.94024
Carlet, Claude; Tang, Deng; Tang, Xiaohu; Liao, Qunying
15
2014
Secondary constructions of highly nonlinear Boolean functions and disjoint spectra plateaued functions. Zbl 1360.94340
Zhang, Feng-Rong; Carlet, Claude; Hu, Yu-Pu; Cao, Tian-Jie
10
2014
Results on constructions of rotation symmetric bent and semi-bent functions. Zbl 1337.94115
Carlet, Claude; Gao, Guangpu; Liu, Wenfen
9
2014
Open problems on binary bent functions. Zbl 1342.94134
Carlet, Claude
9
2014
Cryptographic properties of the hidden weighted bit function. Zbl 1298.94110
Wang, Qichun; Carlet, Claude; Stănică, Pantelimon; Tan, Chik How
4
2014
Higher-order CIS codes. Zbl 1360.94362
Carlet, Claude; Freibert, Finley; Guilley, Sylvain; Kiermaier, Michael; Kim, Jon-Lark; Solé, Patrick
4
2014
Leakage squeezing: optimal implementation and security evaluation. Zbl 1372.94414
Carlet, 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 1316.94091
Tang, Deng; Carlet, Claude; Tang, Xiaohu
2
2014
On the arithmetic Walsh coefficients of Boolean functions. Zbl 1308.94120
Carlet, 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 1364.94808
Tang, Deng; Carlet, Claude; Tang, Xiaohu
30
2013
More constructions of APN and differentially 4-uniform functions by concatenation. Zbl 1336.11077
Carlet, Claude
10
2013
On the second-order nonlinearities of some bent functions. Zbl 1293.94097
Tang, Deng; Carlet, Claude; Tang, Xiaohu
5
2013
Correlation-immune Boolean functions for leakage squeezing and rotating S-box masking against side channel attacks. Zbl 1355.94050
Carlet, Claude
3
2013
A survey on nonlinear Boolean functions with optimal algebraic immunity suitable for stream ciphers. Zbl 1342.94067
Carlet, Claude
2
2013
Constructions of quadratic and cubic rotation symmetric bent functions. Zbl 1365.94670
Gao, Guangpu; Zhang, Xiyong; Liu, Wenfen; Carlet, Claude
18
2012
Higher-order masking schemes for S-boxes. Zbl 1312.94037
Carlet, Claude; Goubin, Louis; Prouff, Emmanuel; Quisquater, Michael; Rivain, Matthieu
16
2012
Further results on Niho bent functions. Zbl 1364.94797
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem
13
2012
Secondary constructions of bent functions and their enforcement. Zbl 1272.94017
Carlet, Claude; Zhang, Fengrong; Hu, Yupu
12
2012
On semibent Boolean functions. Zbl 1365.94666
Carlet, Claude; Mesnager, Sihem
10
2012
A new class of codes for Boolean masking of cryptographic computations. Zbl 1364.94530
Carlet, Claude; Gaborit, Philippe; Kim, Jon-Lark; Solé, Patrick
7
2012
Leakage squeezing of order two. Zbl 1295.94031
Carlet, Claude; Danger, Jean-Luc; Guilley, Sylvain; Maghrebi, Houssem
3
2012
Optimal first-order masking with linear and non-linear bijections. Zbl 1291.94123
Maghrebi, Houssem; Carlet, Claude; Guilley, Sylvain; Danger, Jean-Luc
1
2012
Bent functions on a Galois ring and systematic authentication codes. Zbl 1272.94076
Carlet, 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 1236.94052
Carlet, Claude; Mesnager, Sihem
31
2011
More balanced Boolean functions with optimal algebraic immunity and good nonlinearity and resistance to fast algebraic attacks. Zbl 1365.94686
Zeng, Xiangyong; Carlet, Claude; Shan, Jinyong; Hu, Lei
25
2011
Relating three nonlinearity parameters of vectorial functions and building APN functions from bent functions. Zbl 1229.94041
Carlet, Claude
24
2011
On known and new differentially uniform functions. Zbl 1279.94060
Carlet, Claude
24
2011
CCZ-equivalence of bent vectorial functions and related constructions. Zbl 1215.94035
Budaghyan, Lilya; Carlet, Claude
9
2011
Comments on “Constructions of cryptographically significant Boolean functions using primitive polynomials”. Zbl 1365.94412
Carlet, Claude
9
2011
More vectorial Boolean functions with unbounded nonlinearity profile. Zbl 1236.94051
Carlet, Claude
4
2011
Boolean functions for cryptography and error-correcting codes. Zbl 1209.94035
Carlet, Claude
234
2010
Vectorial Boolean functions for cryptography. Zbl 1209.94036
Carlet, Claude
125
2010
Self-dual bent functions. Zbl 1204.94118
Carlet, Claude; Danielsen, Lars Eirik; Parker, Matthew G.; Solé, Patrick
19
2010
On the construction of bent vectorial functions. Zbl 1204.94119
Carlet, Claude; Mesnager, Sihem
9
2010
CCZ-equivalence of single and multi output Boolean functions. Zbl 1206.94055
Budaghyan, Lilya; Carlet, Claude
8
2010
Constructing new APN functions from known ones. Zbl 1184.94228
Budaghyan, Lilya; Carlet, Claude; Leander, Gregor
57
2009
Further properties of several classes of Boolean functions with optimum algebraic immunity. Zbl 1174.94012
Carlet, 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 1248.94060
Carlet, Claude; Feng, Keqin
6
2009
Two classes of quadratic APN binomials inequivalent to power functions. Zbl 1177.94135
Budaghyan, 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 1206.94060
Carlet, Claude; Feng, Keqin
53
2008
Classes of quadratic APN trinomials and hexanomials and related structures. Zbl 1177.94134
Budaghyan, Lilya; Carlet, Claude
44
2008
Recursive lower bounds on the nonlinearity profile of Boolean functions and their applications. Zbl 1192.94145
Carlet, Claude
24
2008
A method of construction of balanced functions with optimum algebraic immunity. Zbl 1160.94009
Carlet, Claude
11
2008
On the higher order nonlinearities of Boolean functions and S-boxes, and their generalizations (invited paper). Zbl 1206.94059
Carlet, Claude
4
2008
On a improved correlation analysis of stream ciphers using multi-output Boolean functions and the related generalized notion of nonlinearity. Zbl 1274.94049
Carlet, 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 1192.94139
Carlet, Claude; Mesnager, Sihem
17
2007
Nonlinearities of S-boxes. Zbl 1122.94026
Carlet, Claude; Ding, Cunsheng
16
2007
Generalized correlation analysis of vectorial Boolean functions. Zbl 1186.94429
Carlet, Claude; Khoo, Khoongming; Lim, Chu-Wee; Loe, Chuan-Wen
1
2007
New classes of almost bent and almost perfect nonlinear polynomials. Zbl 1177.94136
Budaghyan, Lilya; Carlet, Claude; Pott, Alexander
77
2006
Algebraic immunity for cryptographically significant Boolean functions: analysis and construction. Zbl 1192.94091
Carlet, 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 1192.94128
Yuan, Jin; Carlet, Claude; Ding, Cunsheng
56
2006
Construction of bent functions via Niho power functions. Zbl 1095.94030
Dobbertin, 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 1140.94320
Armknecht, 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 1125.94014
Carlet, Claude
24
2006
Hyper-bent functions and cyclic codes. Zbl 1086.94031
Carlet, Claude; Gaborit, Philippe
12
2006
...and 51 more Documents
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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
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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

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