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Avanzi, Roberto Maria

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Author ID: avanzi.roberto-maria Recent zbMATH articles by "Avanzi, Roberto Maria"
Published as: Avanzi, R.; Avanzi, Roberto; Avanzi, Roberto M.; Avanzi, Roberto Maria
Documents Indexed: 30 Publications since 2001, including 3 Books

Publications by Year

Citations contained in zbMATH

24 Publications have been cited 117 times in 81 Documents Cited by Year
The equation \(f(X) = f(Y)\) in rational functions \(X = X(t)\), \(Y = Y(t)\). Zbl 1050.14020
Avanzi, Roberto M.; Zannier, Umberto M.
16
2003
Genus one curves defined by separated variable polynomials and a polynomial Pell equation. Zbl 1025.11005
Avanzi, Roberto M.; Zannier, Umberto M.
15
2001
A note on the signed sliding window integer recoding and a left-to-right analogue. Zbl 1117.94007
Avanzi, Roberto Maria
9
2005
Extending scalar multiplication using double bases. Zbl 1172.94558
Avanzi, Roberto; Dimitrov, Vassil; Doche, Christophe; Sica, Francesco
8
2006
Minimality of the Hamming weight of the \(\tau \)-NAF for Koblitz curves and improved combination with point halving. Zbl 1151.94474
Avanzi, Roberto Maria; Heuberger, Clemens; Prodinger, Helmut
8
2006
The complexity of certain multi-exponentiation techniques in cryptography. Zbl 1096.94021
Avanzi, Roberto M.
7
2005
Rethinking low genus hyperelliptic Jacobian arithmetic over binary fields: Interplay of field arithmetic and explicit formulæ. Zbl 1146.14032
Avanzi, R.; Thériault, N.; Wang, Z.
6
2008
Scalar multiplication on Koblitz curves using the Frobenius endomorphism and its combination with point halving: extensions and mathematical analysis. Zbl 1106.94021
Avanzi, Roberto M.; Heuberger, Clemens; Prodinger, Helmut
6
2006
Aspects of hyperelliptic curves over large prime fields in software implementations. Zbl 1104.68463
Avanzi, Roberto Maria
6
2004
Redundant \(\tau \)-adic expansions. I: Non-adjacent digit sets and their applications to scalar multiplication. Zbl 1230.94003
Avanzi, Roberto; Heuberger, Clemens; Prodinger, Helmut
5
2011
Trace zero varieties over fields of characteristic 2 for cryptographic applications. Zbl 1151.14308
Avanzi, Roberto M.; Cesena, Emanuele
4
2008
On redundant \(\tau\)-adic expansions and non-adjacent digit sets. Zbl 1161.94380
Avanzi, Roberto Maria; Heuberger, Clemens; Prodinger, Helmut
4
2007
Effects of optimizations for software implementations of small binary field arithmetic. Zbl 1213.94079
Avanzi, Roberto; Thériault, Nicolas
3
2007
Scalar multiplication on Koblitz curves using double bases. Zbl 1295.94010
Avanzi, Roberto; Sica, Francesco
3
2006
Combined implementation attack resistant exponentiation. Zbl 1285.94096
Schmidt, Jörn-Marc; Tunstall, Michael; Avanzi, Roberto; Kizhvatov, Ilya; Kasper, Timo; Oswald, David
2
2010
Another look at square roots (and other less common operations) in fields of even characteristic. Zbl 1154.11346
Avanzi, Roberto Maria
2
2007
Delaying and merging operations in scalar multiplication: applications to curve-based cryptosystems. Zbl 1161.94379
Avanzi, Roberto Maria
2
2007
Faster scalar multiplication on Koblitz curves combining point halving with the Frobenius endomorphism. Zbl 1198.94078
Avanzi, Roberto Maria; Ciet, Mathieu; Sica, Francesco
2
2004
On using expansions to the base of \(-2\). Zbl 1060.94013
Avanzi, Roberto; Frey, Gerhard; Lange, Tanja; Oyono, Roger
2
2004
Countermeasures against differential power analysis for hyperelliptic curve cryptosystems. Zbl 1274.94034
Avanzi, Roberto M.
2
2003
A study on polynomials in separated variables with low genus factors. Zbl 1073.14530
Avanzi, Roberto Maria
2
2001
Faster and lower memory scalar multiplication on supersingular curves in characteristic three. Zbl 1292.14039
Avanzi, Roberto; Heuberger, Clemens
1
2011
Efficient reduction of large divisors on hyperelliptic curves. Zbl 1225.14049
Avanzi, Roberto; Jacobson, Michael J. jun.; Scheidler, Renate
1
2010
Selected areas in cryptography. 15th international workshop, SAC 2008, Sackville, New Brunswick, Canada, August 14–15. Revised selected papers. Zbl 1173.94003
Avanzi, Roberto Maria (ed.); Keliher, Liam (ed.); Sica, Francesco (ed.)
1
2009
Redundant \(\tau \)-adic expansions. I: Non-adjacent digit sets and their applications to scalar multiplication. Zbl 1230.94003
Avanzi, Roberto; Heuberger, Clemens; Prodinger, Helmut
5
2011
Faster and lower memory scalar multiplication on supersingular curves in characteristic three. Zbl 1292.14039
Avanzi, Roberto; Heuberger, Clemens
1
2011
Combined implementation attack resistant exponentiation. Zbl 1285.94096
Schmidt, Jörn-Marc; Tunstall, Michael; Avanzi, Roberto; Kizhvatov, Ilya; Kasper, Timo; Oswald, David
2
2010
Efficient reduction of large divisors on hyperelliptic curves. Zbl 1225.14049
Avanzi, Roberto; Jacobson, Michael J. jun.; Scheidler, Renate
1
2010
Selected areas in cryptography. 15th international workshop, SAC 2008, Sackville, New Brunswick, Canada, August 14–15. Revised selected papers. Zbl 1173.94003
Avanzi, Roberto Maria (ed.); Keliher, Liam (ed.); Sica, Francesco (ed.)
1
2009
Rethinking low genus hyperelliptic Jacobian arithmetic over binary fields: Interplay of field arithmetic and explicit formulæ. Zbl 1146.14032
Avanzi, R.; Thériault, N.; Wang, Z.
6
2008
Trace zero varieties over fields of characteristic 2 for cryptographic applications. Zbl 1151.14308
Avanzi, Roberto M.; Cesena, Emanuele
4
2008
On redundant \(\tau\)-adic expansions and non-adjacent digit sets. Zbl 1161.94380
Avanzi, Roberto Maria; Heuberger, Clemens; Prodinger, Helmut
4
2007
Effects of optimizations for software implementations of small binary field arithmetic. Zbl 1213.94079
Avanzi, Roberto; Thériault, Nicolas
3
2007
Another look at square roots (and other less common operations) in fields of even characteristic. Zbl 1154.11346
Avanzi, Roberto Maria
2
2007
Delaying and merging operations in scalar multiplication: applications to curve-based cryptosystems. Zbl 1161.94379
Avanzi, Roberto Maria
2
2007
Extending scalar multiplication using double bases. Zbl 1172.94558
Avanzi, Roberto; Dimitrov, Vassil; Doche, Christophe; Sica, Francesco
8
2006
Minimality of the Hamming weight of the \(\tau \)-NAF for Koblitz curves and improved combination with point halving. Zbl 1151.94474
Avanzi, Roberto Maria; Heuberger, Clemens; Prodinger, Helmut
8
2006
Scalar multiplication on Koblitz curves using the Frobenius endomorphism and its combination with point halving: extensions and mathematical analysis. Zbl 1106.94021
Avanzi, Roberto M.; Heuberger, Clemens; Prodinger, Helmut
6
2006
Scalar multiplication on Koblitz curves using double bases. Zbl 1295.94010
Avanzi, Roberto; Sica, Francesco
3
2006
A note on the signed sliding window integer recoding and a left-to-right analogue. Zbl 1117.94007
Avanzi, Roberto Maria
9
2005
The complexity of certain multi-exponentiation techniques in cryptography. Zbl 1096.94021
Avanzi, Roberto M.
7
2005
Aspects of hyperelliptic curves over large prime fields in software implementations. Zbl 1104.68463
Avanzi, Roberto Maria
6
2004
Faster scalar multiplication on Koblitz curves combining point halving with the Frobenius endomorphism. Zbl 1198.94078
Avanzi, Roberto Maria; Ciet, Mathieu; Sica, Francesco
2
2004
On using expansions to the base of \(-2\). Zbl 1060.94013
Avanzi, Roberto; Frey, Gerhard; Lange, Tanja; Oyono, Roger
2
2004
The equation \(f(X) = f(Y)\) in rational functions \(X = X(t)\), \(Y = Y(t)\). Zbl 1050.14020
Avanzi, Roberto M.; Zannier, Umberto M.
16
2003
Countermeasures against differential power analysis for hyperelliptic curve cryptosystems. Zbl 1274.94034
Avanzi, Roberto M.
2
2003
Genus one curves defined by separated variable polynomials and a polynomial Pell equation. Zbl 1025.11005
Avanzi, Roberto M.; Zannier, Umberto M.
15
2001
A study on polynomials in separated variables with low genus factors. Zbl 1073.14530
Avanzi, Roberto Maria
2
2001
all top 5

Cited by 137 Authors

11 Heuberger, Clemens
5 Krenn, Daniel
4 Galbraith, Steven D.
4 Pakovich, Fedor
4 Prodinger, Helmut
4 Ta Thi Hoai An
3 Avanzi, Roberto Maria
3 Gorla, Elisa
3 Jacobson, Michael John jun.
3 Massierer, Maike
3 Sica, Francesco
2 Costello, Craig
2 Diep, Nguyen Thi Ngoc
2 Dimitrov, Vassil S.
2 Fan, Xinxin
2 Fuchs, Clemens
2 Hisil, Huseyin
2 Lin, Xibin
2 Mazzoli, Michela
2 Oyono, Roger
2 Pappalardi, Francesco
2 Scheidler, Renate
2 Scott, Michael L.
2 Shparlinski, Igor E.
2 Sidorenko, Andrey
2 Thériault, Nicolas
2 van der Poorten, Alfred J.
2 Wagner, Stephan G.
2 Zannier, Umberto M.
1 Abu Salem, Fatima K.
1 Banks, William D.
1 Barbosa, Marcelo Marcos
1 Bavula, Vladimir V.
1 Benits, Waldyr Dias jun.
1 Bernstein, Daniel Julius
1 Bhasin, Shivam
1 Blankertz, Raoul
1 Cahn, Jordan
1 Carter, Gary
1 Chen, Yu
1 Cheng, Limei
1 Cho, Sungmin
1 Chu, Huah
1 Clavier, Christophe
1 Danger, Jean-Luc
1 Dawson, Edward
1 Deng, Yingpu
1 Doche, Christophe
1 Dubickas, Artūras
1 El Mrabet, Nadia
1 Farashahi, Reza Rezaeian
1 Feix, Benoit
1 Flynn, Eugene Victor
1 Fried, Michael David
1 Gagnerot, Georges
1 Gao, Si
1 Gavrilov, Lubomir
1 Gong, Guang
1 Gonzales, Alex Capuñay
1 Grabner, Peter J.
1 Gu, Dawu
1 Gu, Haihua
1 Guillevic, Aurore
1 Guilley, Sylvain
1 Hajdu, Lajos
1 Hakuta, Keisuke
1 Hong, Seokhie
1 Howe, Everett W.
1 Huai, Jinpeng
1 Imbert, Laurent
1 Ingram, Patrick
1 Ionica, Sorina
1 Jin, Yingzhen
1 Jones, Rafe
1 Karolus, Christina
1 Katti, Rajendra S.
1 Khuri-Makdisi, Kamal
1 Kim, Taehyun
1 Kohel, David R.
1 Kropf, Sara
1 Labrande, Hugo
1 Lange, Tanja
1 Lauter, Kristin Estella
1 Lee, Edward C. W.
1 Lee, Jooyoung
1 Li, Jianxin
1 Liao, Xiaofeng
1 Liu, Shubo
1 McKee, James F.
1 Menezes, Alfred J.
1 Mishra, Pradeep Kumar
1 Moss, Aaron
1 Movasati, Hossein
1 Muir, James A.
1 Nassar, Maxime
1 Ng, Tuen-Wai
1 Nguyen Viet Phuong
1 Otemissov, Adilet
1 Page, Douglas
1 Park, Je Hong
...and 37 more Authors
all top 5

Cited in 46 Serials

8 Designs, Codes and Cryptography
4 Theoretical Computer Science
3 Mathematics of Computation
3 Journal of Number Theory
3 Journal of Cryptology
2 Information Processing Letters
2 Transactions of the American Mathematical Society
2 Acta Mathematica Hungarica
2 Journal of Symbolic Computation
2 Applicable Algebra in Engineering, Communication and Computing
2 Experimental Mathematics
2 Bulletin des Sciences Mathématiques
1 Acta Arithmetica
1 Advances in Mathematics
1 Applied Mathematics and Computation
1 Canadian Journal of Mathematics
1 Information Sciences
1 Journal of Algebra
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Cryptologia
1 European Journal of Combinatorics
1 Forum Mathematicum
1 International Journal of Mathematics
1 International Journal of Foundations of Computer Science
1 Elemente der Mathematik
1 Tatra Mountains Mathematical Publications
1 Journal de Théorie des Nombres de Bordeaux
1 Annales Mathématiques Blaise Pascal
1 Finite Fields and their Applications
1 Selecta Mathematica. New Series
1 The Ramanujan Journal
1 LMS Journal of Computation and Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Journal of the Australian Mathematical Society
1 Computational Methods and Function Theory
1 Journal of Applied Mathematics and Computing
1 Complex Variables and Elliptic Equations
1 Mathematics in Computer Science
1 Journal of Mathematical Cryptology
1 Advances in Mathematics of Communications
1 Science China. Mathematics
1 Science China. Information Sciences
1 Research in Number Theory

Citations by Year