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Silverberg, Alice

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Author ID: silverberg.alice Recent zbMATH articles by "Silverberg, Alice"
Published as: Silverberg, A.; Silverberg, Alice
Homepage: http://www.math.uci.edu/~asilverb/
External Links: MGP · Wikidata
Documents Indexed: 77 Publications since 1985, including 2 Books

Publications by Year

Citations contained in zbMATH Open

62 Publications have been cited 472 times in 350 Documents Cited by Year
Hierarchical ID-based cryptography. Zbl 1065.94547
Gentry, Craig; Silverberg, Alice
70
2002
Applications of multilinear forms to cryptography. Zbl 1030.94032
Boneh, Dan; Silverberg, Alice
34
2003
Fields of definition for homomorphisms of abelian varieties. Zbl 0808.14037
Silverberg, A.
30
1992
Ranks of elliptic curves. Zbl 1052.11039
Rubin, Karl; Silverberg, Alice
22
2002
Families of elliptic curves with constant \(\text{mod }p\) representations. Zbl 0856.11027
Rubin, K.; Silverberg, A.
22
1995
Torsion points on abelian varieties of CM-type. Zbl 0683.14002
Silverberg, Alice
20
1988
Supersingular Abelian varieties in cryptology. Zbl 1026.94540
Rubin, Karl; Silverberg, Alice
18
2002
Twisting commutative algebraic groups. Zbl 1128.14034
Mazur, B.; Rubin, K.; Silverberg, A.
17
2007
Torus-based cryptography. Zbl 1122.94400
Rubin, Karl; Silverberg, Alice
15
2003
Rank frequencies for quadratic twists of elliptic curves. Zbl 1035.11025
Rubin, Karl; Silverberg, Alice
14
2001
Mod \(2\) representations of elliptic curves. Zbl 1030.11025
Rubin, K.; Silverberg, A.
11
2001
Explicit families of elliptic curves with prescribed \(\text{mod } N\) representations. Zbl 0912.11024
Silverberg, Alice
10
1997
Points of finite order on abelian varieties. Zbl 0787.14028
Silverberg, A.
10
1992
Choosing the correct elliptic curve in the CM method. Zbl 1213.11127
Rubin, K.; Silverberg, A.
9
2010
Semistable reduction and torsion subgroups of abelian varieties. Zbl 0818.14017
Silverberg, Alice; Zarkhin, Yuri G.
9
1995
Revisiting the Gentry-Szydlo algorithm. Zbl 1343.94070
Lenstra, H. W.; Silverberg, A.
8
2014
Finding composite order ordinary elliptic curves using the Cocks-Pinch method. Zbl 1217.11061
Boneh, D.; Rubin, K.; Silverberg, A.
8
2011
Compression in finite fields and torus-based cryptography. Zbl 1211.94036
Rubin, K.; Silverberg, A.
8
2008
Open questions in arithmetic algebraic geometry. Zbl 1011.11038
Silverberg, Alice
8
2001
Point counting on reductions of CM elliptic curves. Zbl 1194.11068
Rubin, K.; Silverberg, A.
7
2009
Using abelian varieties to improve pairing-based cryptography. Zbl 1170.94013
Rubin, K.; Silverberg, A.
7
2009
Practical cryptography in high dimensional tori. Zbl 1137.94362
van Dijk, Marten; Granger, Robert; Page, Dan; Rubin, Karl; Silverberg, Alice; Stam, Martijn; Woodruff, David
7
2005
Using primitive subgroups to do more with fewer bits. Zbl 1125.94328
Rubin, K.; Silverberg, A.
7
2004
Mordell-Weil groups of generic Abelian varieties. Zbl 0576.14020
Silverberg, Alice
7
1985
Twists of elliptic curves of rank at least four. Zbl 1213.11122
Rubin, K.; Silverberg, A.
6
2007
Variations on a theme of Minkowski and Serre. Zbl 0885.14006
Silverberg, A.; Zarhin, Yu. G.
6
1996
Ranks of elliptic curves in families of quadratic twists. Zbl 0959.11023
Rubin, Karl; Silverberg, Alice
5
2000
Mod 6 representations of elliptic curves. Zbl 0933.11031
Rubin, Karl; Silverberg, Alice
5
1999
Isogenies of abelian varieties. Zbl 0832.14034
Silverberg, A.; Zarhin, Yu. G.
5
1993
Group order formulas for reductions of CM elliptic curves. Zbl 1227.11079
Silverberg, A.
4
2010
The distribution of ranks in families of quadratic twists of elliptic curves. Zbl 1213.11123
Silverberg, A.
4
2007
Efficient traitor tracing algorithms using list decoding. Zbl 1062.94552
Silverberg, Alice; Staddon, Jessica; Walker, Judy L.
4
2001
Subgroups of inertia groups arising from Abelian varieties. Zbl 0966.14029
Silverberg, A.; Zarhin, Yu. G.
4
1998
Algorithms for commutative algebras over the rational numbers. Zbl 1453.13058
Lenstra, H. W. jun.; Silverberg, A.
3
2018
Arithmetic properties of the Frobenius traces defined by a rational abelian variety (with two appendices by J-P. Serre). Zbl 1405.11078
Cojocaru, Alina Carmen; Davis, Rachel; Silverberg, Alice; Stange, Katherine E.
3
2017
Roots of unity in orders. Zbl 1384.16012
Lenstra, H. W. jun.; Silverberg, A.
3
2017
Connectedness results for \(\ell\)-adic representations associated to abelian varieties. Zbl 1044.11586
Silverberg, A.; Zarhin, Yu. G.
3
1995
A report on Wiles’ Cambridge lectures. Zbl 0924.11046
Rubin, K.; Silverberg, A.
3
1994
Lattices with symmetry. Zbl 1377.94060
Lenstra, H. W. jun.; Silverberg, A.
2
2017
A framework for deterministic primality proving using elliptic curves with complex multiplication. Zbl 1345.11088
Abatzoglou, Alexander; Silverberg, Alice; Sutherland, Andrew V.; Wong, Angela
2
2016
Determining cyclicity of finite modules. Zbl 1348.13027
Lenstra, H. W.; Silverberg, A.
2
2016
On elliptic curves with an isogeny of degree 7. Zbl 1296.11063
Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M.
2
2014
Deterministic elliptic curve primality proving for a special sequence of numbers. Zbl 1344.11082
Abatzoglou, Alexander; Silverberg, Alice; Sutherland, Andrew V.; Wong, Angela
2
2013
Inertia groups and abelian surfaces. Zbl 1077.11047
Silverberg, A.; Zarhin, Yu. G.
2
2005
Algebraic tori in cryptography. Zbl 1073.94014
Rubin, Karl; Silverberg, Alice
2
2004
Applications of list decoding to tracing traitors. Zbl 1063.94077
Silverberg, Alice; Staddon, Jessica; Walker, Judy L.
2
2003
Polarizations on abelian varieties and self-dual \(l\)-adic representations of inertia groups. Zbl 1015.14021
Silverberg, A.; Zarhin, Yu. G.
2
2001
Reduction of abelian varieties. Zbl 1029.14014
Silverberg, A.; Zarhin, Yu. G.
2
2000
Semistable reduction of abelian varieties over extensions of small degree. Zbl 0938.11029
Silverberg, A.; Zarhin, Yu. G.
2
1998
Mordell-Weil groups of generic abelian varieties in the unitary case. Zbl 0692.14028
Silverberg, Alice
2
1988
Multiparty non-interactive key exchange and more from isogenies on elliptic curves. Zbl 1445.14043
Boneh, Dan; Glass, Darren; Krashen, Daniel; Lauter, Kristin; Sharif, Shahed; Silverberg, Alice; Tibouchi, Mehdi; Zhandry, Mark
1
2020
Universal gradings of orders. Zbl 1453.13004
Lenstra, H. W. jun.; Silverberg, A.
1
2018
Fully homomorphic encryption for mathematicians. Zbl 1297.94103
Silverberg, Alice
1
2013
Applications to cryptography of twisting commutative algebraic groups. Zbl 1158.14024
Silverberg, A.
1
2008
Polarizations on abelian varieties. Zbl 1011.14011
Silverberg, A.; Zarhin, Yu. G.
1
2002
Étale cohomology and reduction of abelian varieties. Zbl 1037.11042
Silverberg, A.; Zarhin, Yu. G.
1
2001
Emmy Noether in Erlangen. Zbl 1055.01523
Silverberg, Alice
1
2001
Symplectic representations of inertia groups. Zbl 1125.20311
Silverberg, A.; Zarhin, Yu. G.
1
2001
Connectedness extensions for abelian varieties. Zbl 0938.14028
Silverberg, A.; Zarhin, Yu. G.
1
1998
Canonical models and adelic representations. Zbl 0788.14016
Silverberg, A.
1
1992
Cohomology of fiber systems and Mordell-Weil groups of abelian varieties. Zbl 0645.14019
Silverberg, Alice
1
1988
Finiteness of Mordell-Weil groups of generic abelian varieties. Zbl 0578.14022
Silverberg, Alice
1
1985
Multiparty non-interactive key exchange and more from isogenies on elliptic curves. Zbl 1445.14043
Boneh, Dan; Glass, Darren; Krashen, Daniel; Lauter, Kristin; Sharif, Shahed; Silverberg, Alice; Tibouchi, Mehdi; Zhandry, Mark
1
2020
Algorithms for commutative algebras over the rational numbers. Zbl 1453.13058
Lenstra, H. W. jun.; Silverberg, A.
3
2018
Universal gradings of orders. Zbl 1453.13004
Lenstra, H. W. jun.; Silverberg, A.
1
2018
Arithmetic properties of the Frobenius traces defined by a rational abelian variety (with two appendices by J-P. Serre). Zbl 1405.11078
Cojocaru, Alina Carmen; Davis, Rachel; Silverberg, Alice; Stange, Katherine E.
3
2017
Roots of unity in orders. Zbl 1384.16012
Lenstra, H. W. jun.; Silverberg, A.
3
2017
Lattices with symmetry. Zbl 1377.94060
Lenstra, H. W. jun.; Silverberg, A.
2
2017
A framework for deterministic primality proving using elliptic curves with complex multiplication. Zbl 1345.11088
Abatzoglou, Alexander; Silverberg, Alice; Sutherland, Andrew V.; Wong, Angela
2
2016
Determining cyclicity of finite modules. Zbl 1348.13027
Lenstra, H. W.; Silverberg, A.
2
2016
Revisiting the Gentry-Szydlo algorithm. Zbl 1343.94070
Lenstra, H. W.; Silverberg, A.
8
2014
On elliptic curves with an isogeny of degree 7. Zbl 1296.11063
Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M.
2
2014
Deterministic elliptic curve primality proving for a special sequence of numbers. Zbl 1344.11082
Abatzoglou, Alexander; Silverberg, Alice; Sutherland, Andrew V.; Wong, Angela
2
2013
Fully homomorphic encryption for mathematicians. Zbl 1297.94103
Silverberg, Alice
1
2013
Finding composite order ordinary elliptic curves using the Cocks-Pinch method. Zbl 1217.11061
Boneh, D.; Rubin, K.; Silverberg, A.
8
2011
Choosing the correct elliptic curve in the CM method. Zbl 1213.11127
Rubin, K.; Silverberg, A.
9
2010
Group order formulas for reductions of CM elliptic curves. Zbl 1227.11079
Silverberg, A.
4
2010
Point counting on reductions of CM elliptic curves. Zbl 1194.11068
Rubin, K.; Silverberg, A.
7
2009
Using abelian varieties to improve pairing-based cryptography. Zbl 1170.94013
Rubin, K.; Silverberg, A.
7
2009
Compression in finite fields and torus-based cryptography. Zbl 1211.94036
Rubin, K.; Silverberg, A.
8
2008
Applications to cryptography of twisting commutative algebraic groups. Zbl 1158.14024
Silverberg, A.
1
2008
Twisting commutative algebraic groups. Zbl 1128.14034
Mazur, B.; Rubin, K.; Silverberg, A.
17
2007
Twists of elliptic curves of rank at least four. Zbl 1213.11122
Rubin, K.; Silverberg, A.
6
2007
The distribution of ranks in families of quadratic twists of elliptic curves. Zbl 1213.11123
Silverberg, A.
4
2007
Practical cryptography in high dimensional tori. Zbl 1137.94362
van Dijk, Marten; Granger, Robert; Page, Dan; Rubin, Karl; Silverberg, Alice; Stam, Martijn; Woodruff, David
7
2005
Inertia groups and abelian surfaces. Zbl 1077.11047
Silverberg, A.; Zarhin, Yu. G.
2
2005
Using primitive subgroups to do more with fewer bits. Zbl 1125.94328
Rubin, K.; Silverberg, A.
7
2004
Algebraic tori in cryptography. Zbl 1073.94014
Rubin, Karl; Silverberg, Alice
2
2004
Applications of multilinear forms to cryptography. Zbl 1030.94032
Boneh, Dan; Silverberg, Alice
34
2003
Torus-based cryptography. Zbl 1122.94400
Rubin, Karl; Silverberg, Alice
15
2003
Applications of list decoding to tracing traitors. Zbl 1063.94077
Silverberg, Alice; Staddon, Jessica; Walker, Judy L.
2
2003
Hierarchical ID-based cryptography. Zbl 1065.94547
Gentry, Craig; Silverberg, Alice
70
2002
Ranks of elliptic curves. Zbl 1052.11039
Rubin, Karl; Silverberg, Alice
22
2002
Supersingular Abelian varieties in cryptology. Zbl 1026.94540
Rubin, Karl; Silverberg, Alice
18
2002
Polarizations on abelian varieties. Zbl 1011.14011
Silverberg, A.; Zarhin, Yu. G.
1
2002
Rank frequencies for quadratic twists of elliptic curves. Zbl 1035.11025
Rubin, Karl; Silverberg, Alice
14
2001
Mod \(2\) representations of elliptic curves. Zbl 1030.11025
Rubin, K.; Silverberg, A.
11
2001
Open questions in arithmetic algebraic geometry. Zbl 1011.11038
Silverberg, Alice
8
2001
Efficient traitor tracing algorithms using list decoding. Zbl 1062.94552
Silverberg, Alice; Staddon, Jessica; Walker, Judy L.
4
2001
Polarizations on abelian varieties and self-dual \(l\)-adic representations of inertia groups. Zbl 1015.14021
Silverberg, A.; Zarhin, Yu. G.
2
2001
Étale cohomology and reduction of abelian varieties. Zbl 1037.11042
Silverberg, A.; Zarhin, Yu. G.
1
2001
Emmy Noether in Erlangen. Zbl 1055.01523
Silverberg, Alice
1
2001
Symplectic representations of inertia groups. Zbl 1125.20311
Silverberg, A.; Zarhin, Yu. G.
1
2001
Ranks of elliptic curves in families of quadratic twists. Zbl 0959.11023
Rubin, Karl; Silverberg, Alice
5
2000
Reduction of abelian varieties. Zbl 1029.14014
Silverberg, A.; Zarhin, Yu. G.
2
2000
Mod 6 representations of elliptic curves. Zbl 0933.11031
Rubin, Karl; Silverberg, Alice
5
1999
Subgroups of inertia groups arising from Abelian varieties. Zbl 0966.14029
Silverberg, A.; Zarhin, Yu. G.
4
1998
Semistable reduction of abelian varieties over extensions of small degree. Zbl 0938.11029
Silverberg, A.; Zarhin, Yu. G.
2
1998
Connectedness extensions for abelian varieties. Zbl 0938.14028
Silverberg, A.; Zarhin, Yu. G.
1
1998
Explicit families of elliptic curves with prescribed \(\text{mod } N\) representations. Zbl 0912.11024
Silverberg, Alice
10
1997
Variations on a theme of Minkowski and Serre. Zbl 0885.14006
Silverberg, A.; Zarhin, Yu. G.
6
1996
Families of elliptic curves with constant \(\text{mod }p\) representations. Zbl 0856.11027
Rubin, K.; Silverberg, A.
22
1995
Semistable reduction and torsion subgroups of abelian varieties. Zbl 0818.14017
Silverberg, Alice; Zarkhin, Yuri G.
9
1995
Connectedness results for \(\ell\)-adic representations associated to abelian varieties. Zbl 1044.11586
Silverberg, A.; Zarhin, Yu. G.
3
1995
A report on Wiles’ Cambridge lectures. Zbl 0924.11046
Rubin, K.; Silverberg, A.
3
1994
Isogenies of abelian varieties. Zbl 0832.14034
Silverberg, A.; Zarhin, Yu. G.
5
1993
Fields of definition for homomorphisms of abelian varieties. Zbl 0808.14037
Silverberg, A.
30
1992
Points of finite order on abelian varieties. Zbl 0787.14028
Silverberg, A.
10
1992
Canonical models and adelic representations. Zbl 0788.14016
Silverberg, A.
1
1992
Torsion points on abelian varieties of CM-type. Zbl 0683.14002
Silverberg, Alice
20
1988
Mordell-Weil groups of generic abelian varieties in the unitary case. Zbl 0692.14028
Silverberg, Alice
2
1988
Cohomology of fiber systems and Mordell-Weil groups of abelian varieties. Zbl 0645.14019
Silverberg, Alice
1
1988
Mordell-Weil groups of generic Abelian varieties. Zbl 0576.14020
Silverberg, Alice
7
1985
Finiteness of Mordell-Weil groups of generic abelian varieties. Zbl 0578.14022
Silverberg, Alice
1
1985
all top 5

Cited by 569 Authors

30 Silverberg, Alice
17 Zarkhin, Yuriĭ Gennad’evich
9 Lee, Kwangsu
9 Rubin, Karl Cooper
8 Sutherland, Andrew V.
7 Boneh, Dan
7 Park, Jonghwan
6 Kiltz, Eike
6 Lee, Donghoon
6 Lenstra, Hendrik W. jun.
5 Clark, Peter Louis
5 Fisher, Tom A.
5 Lozano-Robledo, Álvaro
5 Mazur, Barry
5 Pollack, Paul
4 Dujella, Andrej
4 Fité, Francesc
4 Hanaoka, Goichiro
4 Lin, Dongdai
4 Sahai, Amit
4 Waters, Brent
3 Bekker, Boris Mikhaĭlovich
3 Bennett, Michael A.
3 Boxall, John L.
3 Brakerski, Zvika
3 Cheng, Xiangguo
3 Chetty, Sunil
3 Freeman, David Mandell
3 Galbraith, Steven D.
3 Gaudron, Éric
3 Gorla, Elisa
3 Hao, Rong
3 Hofheinz, Dennis
3 Kong, Fanyu
3 Kunihiro, Noboru
3 Lauter, Kristin Estella
3 Lee, Jung-Jo
3 Lombardo, Davide M.
3 Massierer, Maike
3 Naehrig, Michael
3 Neven, Gregory
3 Qin, Bo
3 Sadek, Mohammad
3 Shparlinski, Igor E.
3 Susilo, Willy
3 Takashima, Katsuyuki
3 Wu, David J.
3 Wu, Qianhong
3 Yamakawa, Takashi
3 Yu, Jia
2 Abdalla, Michel
2 Achter, Jeffrey D.
2 Albrecht, Martin R.
2 Ashraf, Muhammad Zeeshan
2 Banaszak, Grzegorz
2 Bellare, Mihir
2 Bourdon, Abbey
2 Boyen, Xavier
2 Cao, Zhenfu
2 Catalano, Dario
2 Chen, Yu
2 Costello, Craig
2 Domingo-Ferrer, Josep
2 Farshim, Pooya
2 Flynn, Eugene Victor
2 Fouque, Pierre-Alain
2 Galindo, David
2 Gu, Dawu
2 Guillevic, Aurore
2 Gusić, Ivica
2 Halberstadt, Emmanuel
2 He, Debiao
2 Holmes, David
2 Karabina, Koray
2 Kedlaya, Kiran Sridhara
2 Klagsbrun, Zev
2 Kraus, Alain
2 Lange, Tanja
2 Larraia, Enrique
2 Lee, Dong Hoon
2 Lee, Hyangsook
2 Lewi, Kevin
2 Li, Guowen
2 Malone-Lee, John
2 McGuire, Gary
2 Miller, Steven J.
2 Mu, Yi
2 Murty, Maruti Ram
2 Okamoto, Tatsuaki
2 Paterson, Kenneth G.
2 Peral Alonso, Juan Carlos
2 Petersen, Sebastian
2 Qiu, Derong
2 Ràfols, Carla
2 Ratazzi, Nicolas
2 Rémond, Gaël
2 Rotger, Victor
2 Segev, Gil
2 Shekhar, Sudhanshu
2 Silverman, Joseph Hillel
...and 469 more Authors
all top 5

Cited in 97 Serials

27 Journal of Number Theory
22 Designs, Codes and Cryptography
17 Journal of Cryptology
15 Information Sciences
12 Mathematics of Computation
10 Theoretical Computer Science
10 Transactions of the American Mathematical Society
7 Compositio Mathematica
6 Journal of Algebra
6 Soft Computing
6 Journal of Mathematical Cryptology
5 Functiones et Approximatio. Commentarii Mathematici
5 Bulletin of the American Mathematical Society. New Series
5 Journal de Théorie des Nombres de Bordeaux
5 Annals of Mathematics. Second Series
5 LMS Journal of Computation and Mathematics
4 Applied Mathematics and Computation
4 Duke Mathematical Journal
4 Journal of Pure and Applied Algebra
4 Journal für die Reine und Angewandte Mathematik
4 Mathematische Annalen
4 Mathematische Zeitschrift
4 Proceedings of the American Mathematical Society
4 Experimental Mathematics
4 Advances in Mathematics of Communications
4 Research in Number Theory
3 Proceedings of the Japan Academy. Series A
3 Algorithmica
3 The Ramanujan Journal
3 International Journal of Number Theory
2 Communications in Algebra
2 Computers & Mathematics with Applications
2 Israel Journal of Mathematics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Periodica Mathematica Hungarica
2 Rocky Mountain Journal of Mathematics
2 Acta Arithmetica
2 Advances in Mathematics
2 Annales de l’Institut Fourier
2 Inventiones Mathematicae
2 Journal of Computational and Applied Mathematics
2 Manuscripta Mathematica
2 Journal of Symbolic Computation
2 Journal of Complexity
2 Journal of the American Mathematical Society
2 Applicable Algebra in Engineering, Communication and Computing
2 St. Petersburg Mathematical Journal
2 Finite Fields and their Applications
2 Acta Mathematica Sinica. English Series
2 Foundations of Computational Mathematics
2 Journal of Applied Mathematics
2 Research in the Mathematical Sciences
1 Bulletin of the Australian Mathematical Society
1 Discrete Applied Mathematics
1 Information Processing Letters
1 Problems of Information Transmission
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Czechoslovak Mathematical Journal
1 Publications Mathématiques
1 Journal of Computer and System Sciences
1 Journal of the London Mathematical Society. Second Series
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Seminario Matematico della Università di Padova
1 SIAM Journal on Computing
1 Bulletin of the Korean Mathematical Society
1 Journal of Computer Science and Technology
1 SIAM Journal on Discrete Mathematics
1 Forum Mathematicum
1 Science in China. Series A
1 Journal of Parallel and Distributed Computing
1 International Journal of Mathematics
1 International Journal of Computer Mathematics
1 Indagationes Mathematicae. New Series
1 Cybernetics and Systems Analysis
1 Selecta Mathematica. New Series
1 Sbornik: Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Integers
1 Journal of the Australian Mathematical Society
1 Journal of Systems Science and Complexity
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Algebra & Number Theory
1 Involve
1 Science China. Mathematics
1 Frontiers of Computer Science
1 European Journal of Mathematics
1 Prikladnaya Diskretnaya Matematika

Citations by Year

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