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Lange, Tanja

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Author ID: lange.tanja Recent zbMATH articles by "Lange, Tanja"
Published as: Lange, Tanja; Lange, T.
External Links: IdRef · theses.fr
Documents Indexed: 87 Publications since 2000, including 9 Books
Reviewing Activity: 23 Reviews
all top 5

Co-Authors

7 single-authored
43 Bernstein, Daniel Julius
10 Peters, Christiane
10 Schwabe, Peter
8 Winterhof, Arne
5 Niederhagen, Ruben
4 Birkner, Peter
4 Chuengsatiansup, Chitchanok
4 Frey, Gerhard
4 Hülsing, Andreas
4 Shparlinski, Igor E.
3 Abdalla, Michel
3 Cheng, Chen-Mou
3 Desmedt, Yvo G.
3 Groot Bruinderink, Leon
3 Panny, Lorenz
3 van Vredendaal, Christine
3 Yang, Bo-Yin
2 Bellare, Mihir
2 Catalano, Dario
2 Heninger, Nadia
2 Kiltz, Eike
2 Kohno, Tadayoshi
2 Malone-Lee, John
2 Martindale, Chloe
2 Naehrig, Michael
2 Neven, Gregory
2 Paillier, Pascal
2 Shi, Haixia
2 Yarom, Yuval
1 Arène, Christophe
1 Avanzi, Robero M.
1 Avanzi, Roberto Maria
1 Barua, Rana
1 Bauch, Jens-Dietrich
1 Brandstätter, Nina
1 Breitner, Joachim
1 Burmester, Mike V. D.
1 Castryck, Wouter
1 Chang, Yun-An
1 Chen, Hsieh-Chung
1 Chen, Tien-Ren
1 Chou, Li-Ping
1 Ciet, Mathieu
1 Cohen, Henri
1 Costello, Craig
1 de Valence, Henry
1 Doche, Christophe
1 Doumen, Jeroen M.
1 Duif, Niels
1 Dunkelman, Orr
1 Genkin, Daniel
1 Günther, Christian
1 Hopwood, Daira
1 Janssen, Wesley
1 Jeffery, Stacey
1 Joye, Marc
1 Kohel, David R.
1 Konyagin, Sergeĭ Vladimirovich
1 Kwant, Robin
1 Lauter, Kristin Estella
1 Lisoněk, Petr
1 Meurer, Alexander
1 Mishra, Pradeep Kumar
1 Oosterwijk, Jan-Jaap
1 Oyono, Roger
1 Papachristodoulou, Louiza
1 Quisquater, Jean-Jacques
1 Renes, Joost
1 Ritzenthaler, Christophe
1 Schneider, Michael
1 Sica, Francesco
1 Smeets, Kit
1 Smetsers, Sjaak
1 Stein, Andreas
1 Steinwandt, Rainer
1 Stevens, Marc
1 Takagi, Tsuyoshi
1 Thissen, Kimberley
1 van Gastel, Bernard
1 van Someren, Nicko
1 Vercauteren, Frederik
1 Wilcox-O’Hearn, Zooko

Publications by Year

Citations contained in zbMATH Open

76 Publications have been cited 665 times in 444 Documents Cited by Year
Handbook of elliptic and hyperelliptic curve cryptography. Zbl 1082.94001
Cohen, Henri; Frey, Gerhard; Avanzi, Robero M.; Doche, Christophe; Lange, Tanja; Nguyen, Kim; Vercauteren, Frederik
134
2006
Faster addition and doubling on elliptic curves. Zbl 1153.11342
Bernstein, Daniel J.; Lange, Tanja
56
2007
Twisted Edwards curves. Zbl 1142.94332
Bernstein, Daniel J.; Birkner, Peter; Joye, Marc; Lange, Tanja; Peters, Christiane
44
2008
Searchable encryption revisited: Consistency properties, relation to anonymous IBE, and extensions. Zbl 1145.94430
Abdalla, Michel; Bellare, Mihir; Catalano, Dario; Kiltz, Eike; Kohno, Tadayoshi; Lange, Tanja; Malone-Lee, John; Neven, Gregory; Paillier, Pascal; Shi, Haixia
30
2005
Attacking and defending the McEliece cryptosystem. Zbl 1177.94128
Bernstein, Daniel J.; Lange, Tanja; Peters, Christiane
26
2008
Formulae for arithmetic on genus 2 hyperelliptic curves. Zbl 1068.14065
Lange, Tanja
21
2005
Searchable encryption revisited: Consistency properties, relation to anonymous IBE, and extensions. Zbl 1161.94378
Abdalla, Michel; Bellare, Mihir; Catalano, Dario; Kiltz, Eike; Kohno, Tadayoshi; Lange, Tanja; Malone-Lee, John; Neven, Gregory; Paillier, Pascal; Shi, Haixia
21
2008
High-speed high-security signatures. Zbl 1321.94039
Bernstein, Daniel J.; Duif, Niels; Lange, Tanja; Schwabe, Peter; Yang, Bo-Yin
19
2011
Smaller decoding exponents: ball-collision decoding. Zbl 1287.94053
Bernstein, Daniel J.; Lange, Tanja; Peters, Christiane
17
2011
Certain exponential sums and random walks on elliptic curves. Zbl 1068.11078
Lange, Tanja; Shparlinski, Igor E.
13
2005
Inverted Edwards coordinates. Zbl 1195.14047
Bernstein, Daniel J.; Lange, Tanja
13
2007
CSIDH: an efficient post-quantum commutative group action. Zbl 1407.81084
Castryck, Wouter; Lange, Tanja; Martindale, Chloe; Panny, Lorenz; Renes, Joost
13
2018
Faster pairing computations on curves with high-degree twists. Zbl 1279.94069
Costello, Craig; Lange, Tanja; Naehrig, Michael
11
2010
Efficient arithmetic on hyperelliptic curves. Zbl 1047.94008
Lange, Tanja
11
2001
Faster computation of the Tate pairing. Zbl 1222.14069
Arène, Christophe; Lange, Tanja; Naehrig, Michael; Ritzenthaler, Christophe
10
2011
A complete set of addition laws for incomplete Edwards curves. Zbl 1229.11087
Bernstein, Daniel J.; Lange, Tanja
10
2011
Distribution of some sequences of points on elliptic curves. Zbl 1129.14040
Lange, Tanja; Shparlinski, Igor E.
10
2007
Interpolation of the discrete logarithm in \(\mathbb{F}_{q}\) by Boolean functions and by polynomials in several variables modulo a divisor of \(q-1\). Zbl 1039.94007
Lange, Tanja; Winterhof, Arne
8
2003
ECM using Edwards curves. Zbl 1322.11125
Bernstein, Daniel J.; Birkner, Peter; Lange, Tanja; Peters, Christiane
8
2013
Wild McEliece. Zbl 1290.94041
Bernstein, Daniel J.; Lange, Tanja; Peters, Christiane
7
2011
On the correct use of the negation map in the Pollard rho method. Zbl 1248.94056
Bernstein, Daniel J.; Lange, Tanja; Schwabe, Peter
7
2011
Kummer strikes back: new DH speed records. Zbl 1306.94027
Bernstein, Daniel J.; Chuengsatiansup, Chitchanok; Lange, Tanja; Schwabe, Peter
7
2014
Twisted Hessian curves. Zbl 1370.94487
Bernstein, Daniel J.; Chuengsatiansup, Chitchanok; Kohel, David; Lange, Tanja
6
2015
SPHINCS: practical stateless hash-based signatures. Zbl 1370.94488
Bernstein, Daniel J.; Hopwood, Daira; Hülsing, Andreas; Lange, Tanja; Niederhagen, Ruben; Papachristodoulou, Louiza; Schneider, Michael; Schwabe, Peter; Wilcox-O’Hearn, Zooko
6
2015
Trace zero subvarieties of genus 2 curves for cryptosystems. Zbl 1109.94003
Lange, Tanja
6
2004
Analysis and optimization of elliptic-curve single-scalar multiplication. Zbl 1184.94225
Bernstein, Daniel J.; Lange, Tanja
6
2008
Non-uniform cracks in the concrete: the power of free precomputation. Zbl 1326.94076
Bernstein, Daniel J.; Lange, Tanja
6
2013
TweetNaCl: a crypto library in 100 tweets. Zbl 1378.94025
Bernstein, Daniel J.; van Gastel, Bernard; Janssen, Wesley; Lange, Tanja; Schwabe, Peter; Smetsers, Sjaak
5
2015
Two grumpy giants and a baby. Zbl 1344.11083
Bernstein, Daniel J.; Lange, Tanja
5
2013
Computing small discrete logarithms faster. Zbl 1295.94022
Bernstein, Daniel J.; Lange, Tanja
5
2012
Speeding up the arithmetic on Koblitz curves of genus two. Zbl 0976.94014
Günther, Christian; Lange, Tanja; Stein, Andreas
5
2001
Incomplete character sums over finite fields and their application to the interpolation of the discrete logarithm by Boolean functions. Zbl 0998.11070
Lange, Tanja; Winterhof, Arne
5
2002
Optimizing double-base elliptic-curve single-scalar multiplication. Zbl 1153.94350
Bernstein, Daniel J.; Birkner, Peter; Lange, Tanja; Peters, Christiane
5
2007
NTRU prime: reducing attack surface at low cost. Zbl 1384.94034
Bernstein, Daniel J.; Chuengsatiansup, Chitchanok; Lange, Tanja; van Vredendaal, Christine
5
2018
Polynomial interpolation of the elliptic curve and XTR discrete logarithm. Zbl 1077.94518
Lange, Tanja; Winterhof, Arne
5
2002
FSBday: implementing Wagner’s generalized birthday attack against the SHA-3 round-1 candidate FSB. Zbl 1248.94055
Bernstein, Daniel J.; Lange, Tanja; Niederhagen, Ruben; Peters, Christiane; Schwabe, Peter
5
2009
Efficient doubling on genus two curves over binary fields. Zbl 1117.94011
Lange, Tanja; Stevens, Marc
4
2005
Linear complexity of the discrete logarithm. Zbl 1024.11078
Konyagin, Sergei; Lange, Tanja; Shparlinski, Igor
4
2003
Interpolation of the elliptic curve Diffie-Hellman mapping. Zbl 1030.11071
Lange, Tanja; Winterhof, Arne
4
2003
Collisions in fast generation of ideal classes and points on hyperelliptic and elliptic curves. Zbl 1068.14027
Lange, Tanja; Shparlinski, Igor
4
2005
Factoring RSA keys from certified smart cards: Coppersmith in the wild. Zbl 1326.94075
Bernstein, Daniel J.; Chang, Yun-An; Cheng, Chen-Mou; Chou, Li-Ping; Heninger, Nadia; Lange, Tanja; van Someren, Nicko
4
2013
Quantum algorithms for the subset-sum problem. Zbl 1295.68127
Bernstein, Daniel J.; Jeffery, Stacey; Lange, Tanja; Meurer, Alexander
4
2013
Quantum circuits for the CSIDH: optimizing quantum evaluation of isogenies. Zbl 07164004
Bernstein, Daniel J.; Lange, Tanja; Martindale, Chloe; Panny, Lorenz
4
2019
Koblitz curve cryptosystems. Zbl 1073.94013
Lange, Tanja
3
2005
Pairing based threshold cryptography improving on Libert-Quisquater and Baek-Zheng. (Extended abstract). Zbl 1152.94416
Desmedt, Yvo; Lange, Tanja
3
2006
On the non-linearity and sparsity of Boolean functions related to the discrete logarithm in finite fields of characteristic two. Zbl 1151.94487
Brandstätter, Nina; Lange, Tanja; Winterhof, Arne
3
2006
Fast bilinear maps from the Tate-Lichtenbaum pairing on hyperelliptic curves. Zbl 1143.94345
Frey, Gerhard; Lange, Tanja
3
2006
Never trust a bunny. Zbl 1337.94093
Bernstein, Daniel J.; Lange, Tanja
3
2013
Short generators without quantum computers: the case of multiquadratics. Zbl 1410.11136
Bauch, Jens; Bernstein, Daniel J.; de Valence, Henry; Lange, Tanja; van Vredendaal, Christine
3
2017
The security impact of a new cryptographic library. Zbl 1303.94067
Bernstein, Daniel J.; Lange, Tanja; Schwabe, Peter
3
2012
Curve41417: Karatsuba revisited. Zbl 1375.94102
Bernstein, Daniel J.; Chuengsatiansup, Chitchanok; Lange, Tanja
3
2014
Faster 2-regular information-set decoding. Zbl 1272.94096
Bernstein, Daniel J.; Lange, Tanja; Peters, Christiane; Schwabe, Peter
3
2011
Wild McEliece incognito. Zbl 1290.94042
Bernstein, Daniel J.; Lange, Tanja; Peters, Christiane
3
2011
ECM on graphics cards. Zbl 1239.94035
Bernstein, Daniel J.; Chen, Tien-Ren; Cheng, Chen-Mou; Lange, Tanja; Yang, Bo-Yin
2
2009
Selected areas in cryptography – SAC 2013. 20th international conference, Burnaby, BC, Canada, August 14–16, 2013. Revised selected papers. Zbl 1321.94008
Lange, Tanja (ed.); Lauter, Kristin (ed.); Lisoněk, Petr (ed.)
2
2014
Bad directions in cryptographic hash functions. Zbl 1391.94729
Bernstein, Daniel J.; Hülsing, Andreas; Lange, Tanja; Niederhagen, Ruben
2
2015
Hyper-and-elliptic-curve cryptography. Zbl 1296.94083
Bernstein, Daniel J.; Lange, Tanja
2
2014
Dual EC: a standardized back door. Zbl 1405.94044
Bernstein, Daniel J.; Lange, Tanja; Niederhagen, Ruben
2
2016
Mathematical background of public key cryptography. Zbl 1155.11361
Frey, Gerhard; Lange, Tanja
2
2005
Improved algorithms for efficient arithmetic on elliptic curves using fast endomorphisms. Zbl 1038.11507
Ciet, Mathieu; Lange, Tanja; Sica, Francesco; Quisquater, Jean-Jacques
2
2003
On using expansions to the base of \(-2\). Zbl 1060.94013
Avanzi, Roberto; Frey, Gerhard; Lange, Tanja; Oyono, Roger
2
2004
Flush, Gauss, and reload – a cache attack on the BLISS lattice-based signature scheme. Zbl 1411.94065
Groot Bruinderink, Leon; Hülsing, Andreas; Lange, Tanja; Yarom, Yuval
2
2016
ECC2K-130 on NVIDIA GPUs. Zbl 1248.94054
Bernstein, Daniel J.; Chen, Hsieh-Chung; Cheng, Chen-Mou; Lange, Tanja; Niederhagen, Ruben; Schwabe, Peter; Yang, Bo-Yin
2
2010
Type-II optimal polynomial bases. Zbl 1230.12001
Bernstein, Daniel J.; Lange, Tanja
2
2010
Scalable authenticated tree based group key exchange for ad-hoc groups. Zbl 1195.94074
Desmedt, Yvo; Lange, Tanja; Burmester, Mike
2
2008
Really fast syndrome-based hashing. Zbl 1280.94039
Bernstein, Daniel J.; Lange, Tanja; Peters, Christiane; Schwabe, Peter
2
2011
Revisiting pairing based group key exchange. Zbl 1175.94073
Desmedt, Yvo; Lange, Tanja
1
2008
Faster batch forgery identification. Zbl 1295.94173
Bernstein, Daniel J.; Doumen, Jeroen; Lange, Tanja; Oosterwijk, Jan-Jaap
1
2012
Montgomery addition for genus two curves. Zbl 1125.11332
Lange, Tanja
1
2004
Factoring polynomials over arbitrary finite fields. Zbl 0947.68075
Lange, T.; Winterhof, A.
1
2000
SCA resistant parallel explicit formula for addition and doubling of divisors in the Jacobian of hyperelliptic curves of genus 2. Zbl 1153.94405
Lange, Tanja; Mishra, Pradeep Kumar
1
2005
Progress in cryptology – INDOCRYPT 2006. 7th international conference on cryptology in India, Kolkata, India, December 11-13, 2006. Proceedings. Zbl 1133.94005
Barua, Rana (ed.); Lange, Tanja (ed.)
1
2006
Post-quantum cryptography. 9th international conference, PQCrypto 2018, Fort Lauderdale, FL, USA, April 9–11, 2018. Proceedings. Zbl 1387.94005
Lange, Tanja (ed.); Steinwandt, Rainer (ed.)
1
2018
Lattice Klepto – turning post-quantum crypto against itself. Zbl 1384.94077
Kwant, Robin; Lange, Tanja; Thissen, Kimberley
1
2018
A note on López-Dahab coordinates. Zbl 1174.11097
Lange, Tanja
1
2006
Starfish on strike. Zbl 1248.94053
Bernstein, Daniel J.; Birkner, Peter; Lange, Tanja
1
2010
Quantum circuits for the CSIDH: optimizing quantum evaluation of isogenies. Zbl 07164004
Bernstein, Daniel J.; Lange, Tanja; Martindale, Chloe; Panny, Lorenz
4
2019
CSIDH: an efficient post-quantum commutative group action. Zbl 1407.81084
Castryck, Wouter; Lange, Tanja; Martindale, Chloe; Panny, Lorenz; Renes, Joost
13
2018
NTRU prime: reducing attack surface at low cost. Zbl 1384.94034
Bernstein, Daniel J.; Chuengsatiansup, Chitchanok; Lange, Tanja; van Vredendaal, Christine
5
2018
Post-quantum cryptography. 9th international conference, PQCrypto 2018, Fort Lauderdale, FL, USA, April 9–11, 2018. Proceedings. Zbl 1387.94005
Lange, Tanja; Steinwandt, Rainer
1
2018
Lattice Klepto – turning post-quantum crypto against itself. Zbl 1384.94077
Kwant, Robin; Lange, Tanja; Thissen, Kimberley
1
2018
Short generators without quantum computers: the case of multiquadratics. Zbl 1410.11136
Bauch, Jens; Bernstein, Daniel J.; de Valence, Henry; Lange, Tanja; van Vredendaal, Christine
3
2017
Dual EC: a standardized back door. Zbl 1405.94044
Bernstein, Daniel J.; Lange, Tanja; Niederhagen, Ruben
2
2016
Flush, Gauss, and reload – a cache attack on the BLISS lattice-based signature scheme. Zbl 1411.94065
Groot Bruinderink, Leon; Hülsing, Andreas; Lange, Tanja; Yarom, Yuval
2
2016
Twisted Hessian curves. Zbl 1370.94487
Bernstein, Daniel J.; Chuengsatiansup, Chitchanok; Kohel, David; Lange, Tanja
6
2015
SPHINCS: practical stateless hash-based signatures. Zbl 1370.94488
Bernstein, Daniel J.; Hopwood, Daira; Hülsing, Andreas; Lange, Tanja; Niederhagen, Ruben; Papachristodoulou, Louiza; Schneider, Michael; Schwabe, Peter; Wilcox-O’Hearn, Zooko
6
2015
TweetNaCl: a crypto library in 100 tweets. Zbl 1378.94025
Bernstein, Daniel J.; van Gastel, Bernard; Janssen, Wesley; Lange, Tanja; Schwabe, Peter; Smetsers, Sjaak
5
2015
Bad directions in cryptographic hash functions. Zbl 1391.94729
Bernstein, Daniel J.; Hülsing, Andreas; Lange, Tanja; Niederhagen, Ruben
2
2015
Kummer strikes back: new DH speed records. Zbl 1306.94027
Bernstein, Daniel J.; Chuengsatiansup, Chitchanok; Lange, Tanja; Schwabe, Peter
7
2014
Curve41417: Karatsuba revisited. Zbl 1375.94102
Bernstein, Daniel J.; Chuengsatiansup, Chitchanok; Lange, Tanja
3
2014
Selected areas in cryptography – SAC 2013. 20th international conference, Burnaby, BC, Canada, August 14–16, 2013. Revised selected papers. Zbl 1321.94008
Lange, Tanja; Lauter, Kristin; Lisoněk, Petr
2
2014
Hyper-and-elliptic-curve cryptography. Zbl 1296.94083
Bernstein, Daniel J.; Lange, Tanja
2
2014
ECM using Edwards curves. Zbl 1322.11125
Bernstein, Daniel J.; Birkner, Peter; Lange, Tanja; Peters, Christiane
8
2013
Non-uniform cracks in the concrete: the power of free precomputation. Zbl 1326.94076
Bernstein, Daniel J.; Lange, Tanja
6
2013
Two grumpy giants and a baby. Zbl 1344.11083
Bernstein, Daniel J.; Lange, Tanja
5
2013
Factoring RSA keys from certified smart cards: Coppersmith in the wild. Zbl 1326.94075
Bernstein, Daniel J.; Chang, Yun-An; Cheng, Chen-Mou; Chou, Li-Ping; Heninger, Nadia; Lange, Tanja; van Someren, Nicko
4
2013
Quantum algorithms for the subset-sum problem. Zbl 1295.68127
Bernstein, Daniel J.; Jeffery, Stacey; Lange, Tanja; Meurer, Alexander
4
2013
Never trust a bunny. Zbl 1337.94093
Bernstein, Daniel J.; Lange, Tanja
3
2013
Computing small discrete logarithms faster. Zbl 1295.94022
Bernstein, Daniel J.; Lange, Tanja
5
2012
The security impact of a new cryptographic library. Zbl 1303.94067
Bernstein, Daniel J.; Lange, Tanja; Schwabe, Peter
3
2012
Faster batch forgery identification. Zbl 1295.94173
Bernstein, Daniel J.; Doumen, Jeroen; Lange, Tanja; Oosterwijk, Jan-Jaap
1
2012
High-speed high-security signatures. Zbl 1321.94039
Bernstein, Daniel J.; Duif, Niels; Lange, Tanja; Schwabe, Peter; Yang, Bo-Yin
19
2011
Smaller decoding exponents: ball-collision decoding. Zbl 1287.94053
Bernstein, Daniel J.; Lange, Tanja; Peters, Christiane
17
2011
Faster computation of the Tate pairing. Zbl 1222.14069
Arène, Christophe; Lange, Tanja; Naehrig, Michael; Ritzenthaler, Christophe
10
2011
A complete set of addition laws for incomplete Edwards curves. Zbl 1229.11087
Bernstein, Daniel J.; Lange, Tanja
10
2011
Wild McEliece. Zbl 1290.94041
Bernstein, Daniel J.; Lange, Tanja; Peters, Christiane
7
2011
On the correct use of the negation map in the Pollard rho method. Zbl 1248.94056
Bernstein, Daniel J.; Lange, Tanja; Schwabe, Peter
7
2011
Faster 2-regular information-set decoding. Zbl 1272.94096
Bernstein, Daniel J.; Lange, Tanja; Peters, Christiane; Schwabe, Peter
3
2011
Wild McEliece incognito. Zbl 1290.94042
Bernstein, Daniel J.; Lange, Tanja; Peters, Christiane
3
2011
Really fast syndrome-based hashing. Zbl 1280.94039
Bernstein, Daniel J.; Lange, Tanja; Peters, Christiane; Schwabe, Peter
2
2011
Faster pairing computations on curves with high-degree twists. Zbl 1279.94069
Costello, Craig; Lange, Tanja; Naehrig, Michael
11
2010
ECC2K-130 on NVIDIA GPUs. Zbl 1248.94054
Bernstein, Daniel J.; Chen, Hsieh-Chung; Cheng, Chen-Mou; Lange, Tanja; Niederhagen, Ruben; Schwabe, Peter; Yang, Bo-Yin
2
2010
Type-II optimal polynomial bases. Zbl 1230.12001
Bernstein, Daniel J.; Lange, Tanja
2
2010
Starfish on strike. Zbl 1248.94053
Bernstein, Daniel J.; Birkner, Peter; Lange, Tanja
1
2010
FSBday: implementing Wagner’s generalized birthday attack against the SHA-3 round-1 candidate FSB. Zbl 1248.94055
Bernstein, Daniel J.; Lange, Tanja; Niederhagen, Ruben; Peters, Christiane; Schwabe, Peter
5
2009
ECM on graphics cards. Zbl 1239.94035
Bernstein, Daniel J.; Chen, Tien-Ren; Cheng, Chen-Mou; Lange, Tanja; Yang, Bo-Yin
2
2009
Twisted Edwards curves. Zbl 1142.94332
Bernstein, Daniel J.; Birkner, Peter; Joye, Marc; Lange, Tanja; Peters, Christiane
44
2008
Attacking and defending the McEliece cryptosystem. Zbl 1177.94128
Bernstein, Daniel J.; Lange, Tanja; Peters, Christiane
26
2008
Searchable encryption revisited: Consistency properties, relation to anonymous IBE, and extensions. Zbl 1161.94378
Abdalla, Michel; Bellare, Mihir; Catalano, Dario; Kiltz, Eike; Kohno, Tadayoshi; Lange, Tanja; Malone-Lee, John; Neven, Gregory; Paillier, Pascal; Shi, Haixia
21
2008
Analysis and optimization of elliptic-curve single-scalar multiplication. Zbl 1184.94225
Bernstein, Daniel J.; Lange, Tanja
6
2008
Scalable authenticated tree based group key exchange for ad-hoc groups. Zbl 1195.94074
Desmedt, Yvo; Lange, Tanja; Burmester, Mike
2
2008
Revisiting pairing based group key exchange. Zbl 1175.94073
Desmedt, Yvo; Lange, Tanja
1
2008
Faster addition and doubling on elliptic curves. Zbl 1153.11342
Bernstein, Daniel J.; Lange, Tanja
56
2007
Inverted Edwards coordinates. Zbl 1195.14047
Bernstein, Daniel J.; Lange, Tanja
13
2007
Distribution of some sequences of points on elliptic curves. Zbl 1129.14040
Lange, Tanja; Shparlinski, Igor E.
10
2007
Optimizing double-base elliptic-curve single-scalar multiplication. Zbl 1153.94350
Bernstein, Daniel J.; Birkner, Peter; Lange, Tanja; Peters, Christiane
5
2007
Handbook of elliptic and hyperelliptic curve cryptography. Zbl 1082.94001
Cohen, Henri; Frey, Gerhard; Avanzi, Robero M.; Doche, Christophe; Lange, Tanja; Nguyen, Kim; Vercauteren, Frederik
134
2006
Pairing based threshold cryptography improving on Libert-Quisquater and Baek-Zheng. (Extended abstract). Zbl 1152.94416
Desmedt, Yvo; Lange, Tanja
3
2006
On the non-linearity and sparsity of Boolean functions related to the discrete logarithm in finite fields of characteristic two. Zbl 1151.94487
Brandstätter, Nina; Lange, Tanja; Winterhof, Arne
3
2006
Fast bilinear maps from the Tate-Lichtenbaum pairing on hyperelliptic curves. Zbl 1143.94345
Frey, Gerhard; Lange, Tanja
3
2006
Progress in cryptology – INDOCRYPT 2006. 7th international conference on cryptology in India, Kolkata, India, December 11-13, 2006. Proceedings. Zbl 1133.94005
Barua, Rana; Lange, Tanja
1
2006
A note on López-Dahab coordinates. Zbl 1174.11097
Lange, Tanja
1
2006
Searchable encryption revisited: Consistency properties, relation to anonymous IBE, and extensions. Zbl 1145.94430
Abdalla, Michel; Bellare, Mihir; Catalano, Dario; Kiltz, Eike; Kohno, Tadayoshi; Lange, Tanja; Malone-Lee, John; Neven, Gregory; Paillier, Pascal; Shi, Haixia
30
2005
Formulae for arithmetic on genus 2 hyperelliptic curves. Zbl 1068.14065
Lange, Tanja
21
2005
Certain exponential sums and random walks on elliptic curves. Zbl 1068.11078
Lange, Tanja; Shparlinski, Igor E.
13
2005
Efficient doubling on genus two curves over binary fields. Zbl 1117.94011
Lange, Tanja; Stevens, Marc
4
2005
Collisions in fast generation of ideal classes and points on hyperelliptic and elliptic curves. Zbl 1068.14027
Lange, Tanja; Shparlinski, Igor
4
2005
Koblitz curve cryptosystems. Zbl 1073.94013
Lange, Tanja
3
2005
Mathematical background of public key cryptography. Zbl 1155.11361
Frey, Gerhard; Lange, Tanja
2
2005
SCA resistant parallel explicit formula for addition and doubling of divisors in the Jacobian of hyperelliptic curves of genus 2. Zbl 1153.94405
Lange, Tanja; Mishra, Pradeep Kumar
1
2005
Trace zero subvarieties of genus 2 curves for cryptosystems. Zbl 1109.94003
Lange, Tanja
6
2004
On using expansions to the base of \(-2\). Zbl 1060.94013
Avanzi, Roberto; Frey, Gerhard; Lange, Tanja; Oyono, Roger
2
2004
Montgomery addition for genus two curves. Zbl 1125.11332
Lange, Tanja
1
2004
Interpolation of the discrete logarithm in \(\mathbb{F}_{q}\) by Boolean functions and by polynomials in several variables modulo a divisor of \(q-1\). Zbl 1039.94007
Lange, Tanja; Winterhof, Arne
8
2003
Linear complexity of the discrete logarithm. Zbl 1024.11078
Konyagin, Sergei; Lange, Tanja; Shparlinski, Igor
4
2003
Interpolation of the elliptic curve Diffie-Hellman mapping. Zbl 1030.11071
Lange, Tanja; Winterhof, Arne
4
2003
Improved algorithms for efficient arithmetic on elliptic curves using fast endomorphisms. Zbl 1038.11507
Ciet, Mathieu; Lange, Tanja; Sica, Francesco; Quisquater, Jean-Jacques
2
2003
Incomplete character sums over finite fields and their application to the interpolation of the discrete logarithm by Boolean functions. Zbl 0998.11070
Lange, Tanja; Winterhof, Arne
5
2002
Polynomial interpolation of the elliptic curve and XTR discrete logarithm. Zbl 1077.94518
Lange, Tanja; Winterhof, Arne
5
2002
Efficient arithmetic on hyperelliptic curves. Zbl 1047.94008
Lange, Tanja
11
2001
Speeding up the arithmetic on Koblitz curves of genus two. Zbl 0976.94014
Günther, Christian; Lange, Tanja; Stein, Andreas
5
2001
Factoring polynomials over arbitrary finite fields. Zbl 0947.68075
Lange, T.; Winterhof, A.
1
2000
all top 5

Cited by 773 Authors

15 Lange, Tanja
12 Shparlinski, Igor E.
11 Galbraith, Steven D.
10 Bernstein, Daniel Julius
10 Tsyganov, Andreĭ Vladimirovich
8 Winterhof, Arne
7 Lauter, Kristin Estella
6 Bessalov, A. V.
6 Duquesne, Sylvain
6 Kohel, David R.
6 Mu, Yi
6 Otmani, Ayoub
6 Wu, Hongfeng
5 Costello, Craig
5 Farashahi, Reza Rezaeian
5 Fouotsa, Emmanuel
5 Gaudry, Pierrick
5 Hisil, Huseyin
5 Jacobson, Michael John jun.
5 Kiltz, Eike
5 Lubicz, David
5 Moody, Dustin
5 Peters, Christiane
5 Sutherland, Andrew V.
5 Tillich, Jean-Pierre
5 Vergnaud, Damien
5 Xu, Maozhi
5 Zhang, Fangguo
4 Bellare, Mihir
4 Boneh, Dan
4 Bröker, Reinier
4 El Mrabet, Nadia
4 Feng, Rongquan
4 Frey, Gerhard
4 Guo, Fuchun
4 Koval’chuk, L. V.
4 Ling, San
4 Mefenza, Thierry
4 Menezes, Alfred J.
4 Park, Jonghwan
4 Pujolàs, Jordi
4 Rodríguez-Henríquez, Francisco
4 Schwabe, Peter
4 Silverberg, Alice
4 Thériault, Nicolas
4 Tibouchi, Mehdi
4 Yao, David D. W.
3 Abdalla, Michel
3 Aly, Hassan Y.
3 Avanzi, Roberto Maria
3 Cao, Zhenfu
3 Castryck, Wouter
3 Chen, Yu
3 Dominguez Perez, Luis J.
3 Gorla, Elisa
3 Gueye, Cheikh Thiecoumba
3 Hu, Zhi
3 Hubrechts, Hendrik
3 Jiang, Peng
3 Johansson, Thomas
3 Lee, Hyangsook
3 Lee, Kwangsu
3 Lin, Dongdai
3 Lin, Xibin
3 Löndahl, Carl
3 Masny, Daniel
3 Massierer, Maike
3 Mérai, László
3 Miret, Josep M.
3 Naccache, David
3 Neven, Gregory
3 Ozdemir, Enver
3 Panario, Daniel
3 Paterson, Kenneth G.
3 Ritzenthaler, Christophe
3 Robert, Damien
3 Rosenthal, Joachim
3 Sarkar, Palash
3 Scheidler, Renate
3 Seo, Jae Hong
3 Sica, Francesco
3 Susilo, Willy
3 Wang, Huaxiong
3 Wang, Ping
3 Zhang, Jiang
2 Abelard, Simon
2 Ahmadi, Omran
2 Aranha, Diego F.
2 Arène, Christophe
2 Barbosa, Manuel
2 Barreto, Paulo S. L. M.
2 Benger, Naomi
2 Berger, Thierry P.
2 Biagioni, Silvio
2 Birkner, Peter
2 Blake, Ian F.
2 Bogos, Sonia
2 Buchmann, Johannes A.
2 Butin, Denis
2 Carter, Gary
...and 673 more Authors
all top 5

Cited in 93 Serials

45 Designs, Codes and Cryptography
22 Journal of Cryptology
19 Journal of Mathematical Cryptology
18 Finite Fields and their Applications
16 Mathematics of Computation
12 Information Sciences
12 Theoretical Computer Science
12 Applicable Algebra in Engineering, Communication and Computing
11 Information Processing Letters
11 LMS Journal of Computation and Mathematics
10 Journal of Number Theory
9 Journal of Symbolic Computation
9 Advances in Mathematics of Communications
6 Discrete Applied Mathematics
6 Mathematics in Computer Science
5 Soft Computing
5 Cryptography and Communications
4 Journal of Mathematical Physics
4 Journal of Complexity
4 Cybernetics and Systems Analysis
3 Applied Mathematics and Computation
3 Wuhan University Journal of Natural Sciences (WUJNS)
3 Foundations of Computational Mathematics
3 International Journal of Number Theory
2 Computers & Mathematics with Applications
2 Discrete Mathematics
2 Problems of Information Transmission
2 Theoretical and Mathematical Physics
2 Journal of Geometry and Physics
2 Journal of Computer and System Sciences
2 Journal of Automated Reasoning
2 International Journal of Foundations of Computer Science
2 International Journal of Computer Mathematics
2 Tatra Mountains Mathematical Publications
2 Journal de Théorie des Nombres de Bordeaux
2 Journal of Mathematical Sciences (New York)
2 Mathematical Problems in Engineering
2 Journal of Applied Mathematics and Computing
2 Quantum Information Processing
2 Groups, Complexity, Cryptology
2 JSIAM Letters
1 Mathematische Semesterberichte
1 Chaos, Solitons and Fractals
1 Acta Arithmetica
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Automatica
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Mathematika
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Proceedings of the Japan Academy. Series A
1 Ricerche di Matematica
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Physica D
1 Algorithmica
1 Discrete & Computational Geometry
1 Forum Mathematicum
1 Japan Journal of Industrial and Applied Mathematics
1 Annales Mathématiques Blaise Pascal
1 Advances in Computational Mathematics
1 Arab Journal of Mathematical Sciences
1 Vietnam Journal of Mathematics
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Journal of Integer Sequences
1 Regular and Chaotic Dynamics
1 Computational Geosciences
1 Integers
1 Journal of Systems Science and Complexity
1 Entropy
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Mediterranean Journal of Mathematics
1 Journal of Industrial and Management Optimization
1 Journal of Zhejiang University. Science A
1 Chebyshevskiĭ Sbornik
1 Logical Methods in Computer Science
1 Algebra & Number Theory
1 Algorithms
1 Science China. Mathematics
1 Science China. Information Sciences
1 Afrika Matematika
1 Frontiers of Computer Science
1 Quanta
1 Computer Science Review
1 Journal of Algebra, Combinatorics, Discrete Structures and Applications
1 Nelineĭnaya Dinamika
1 Journal of Numbers
1 SIAM Journal on Applied Algebra and Geometry
1 Prikladnaya Diskretnaya Matematika
1 Matematicheskie Voprosy Kriptografii

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