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Jacobson, Michael John jun.

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Author ID: jacobson.michael-john-jun Recent zbMATH articles by "Jacobson, Michael John jun."
Published as: Jacobson, M. J.; Jacobson, M. J. jun; Jacobson, M. J. jun.; Jacobson, Michael; Jacobson, Michael J.; Jacobson, Michael J. jun.; Jacobson, Michael John jun.; Jacobson, Michael jun.
Homepage: https://pages.cpsc.ucalgary.ca/~jacobs/
External Links: ORCID · dblp
Documents Indexed: 57 Publications since 1995, including 4 Books
Reviewing Activity: 31 Reviews

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 156 times in 112 Documents Cited by Year
Solving the Pell equation. Zbl 1177.11027
Jacobson, Michael J. jun.; Williams, Hugh C.
18
2009
On some computational problems in finite abelian groups. Zbl 0894.11050
Buchmann, Johannes; Jacobson, Michael J. jun.; Teske, Edlyn
15
1997
Numerical results on class groups of imaginary quadratic fields. Zbl 1143.11370
Jacobson, Michael J.; Ramachandran, Shantha; Williams, Hugh C.
10
2006
A computational approach for solving \(y^2=1^k+2^k+\dotsb+x^k\). Zbl 1113.11075
Jacobson, M. J. jun.; Pintér, Á.; Walsh, P. G.
9
2003
Analysis of the Xedni calculus attack. Zbl 0948.11048
Jacobson, Michael J.; Koblitz, Neal; Silverman, Joseph H.; Stein, Andreas; Teske, Edlyn
9
2000
An investigation of bounds for the regulator of quadratic fields. Zbl 0859.11057
Jacobson, Michael J. jun.; Lukes, Richard F.; Williams, Hugh C.
7
1995
Computing discrete logarithms in the Jacobian of high-genus hyperelliptic curves over even characteristic finite fields. Zbl 1285.14031
Velichka, M. D.; Jacobson, M. J. jun.; Stein, A.
6
2014
New quadratic polynomials with high densities of prime values. Zbl 1009.11060
Jacobson, Michael J. jun.; Williams, Hugh C.
6
2003
Hyperelliptic curves and cryptography. Zbl 1098.94023
Jacobson, Michael jun.; Menezes, Alfred; Stein, Andreas
5
2004
Unconditional class group tabulation of imaginary quadratic fields to \(| \Delta| < 2^{40}\). Zbl 1351.11074
Mosunov, A. S.; Jacobson, M. J. jun.
4
2016
Cryptographic aspects of real hyperelliptic curves. Zbl 1287.94075
Jacobson, Michael J. jun.; Scheidler, Renate; Stein, Andreas
4
2010
Construction of hyperelliptic function fields of high three-rank. Zbl 1131.11073
Bauer, M.; Jacobson, M. J. jun; Lee, Y.; Scheidler, R.
4
2008
Cryptographic protocols on real hyperelliptic curves. Zbl 1207.94056
Jacobson, M. J.; Scheidler, R.; Stein, A.
4
2007
Fast arithmetic on hyperelliptic curves via continued fraction expansions. Zbl 1132.14306
Jacobson, M. J. jun.; Scheidler, R.; Stein, A.
4
2007
Towards practical non-interactive public-key cryptosystems using non-maximal imaginary quadratic orders. Zbl 1043.94010
Hühnlein, Detlef; Jacobson, Michael J. jun.; Weber, Damian
4
2003
Construction of all cubic function fields of a given square-free discriminant. Zbl 1390.11134
Jacobson, M. J. jun.; Lee, Y.; Scheidler, R.; Williams, H. C.
3
2015
Modular arithmetic on elements of small norm in quadratic fields. Zbl 1028.11080
Jacobson, M. J. jun.; Williams, H. C.
3
2002
Solving elliptic curve discrete logarithm problems using Weil descent. Zbl 1017.11030
Jacobson, Michael; Menezes, Alfred; Stein, Andreas
3
2001
The efficiency and security of a real quadratic field based key exchange protocol. Zbl 0986.94024
Jacobson, Michael J. jun.; Scheidler, Renate; Williams, Hugh C.
3
2001
Applying sieving to the computation of quadratic class groups. Zbl 1036.11067
Jacobson, Michael J. jun.
3
1999
A note on the security of CSIDH. Zbl 1407.81083
Biasse, Jean-François; Iezzi, Annamaria; Jacobson, Michael J. jun.
2
2018
Computing quadratic function fields with high 3-rank via cubic field tabulation. Zbl 1350.11095
Rozenhart, P.; Jacobson, M. J. jun.; Scheidler, R.
2
2015
Tabulation of cubic function fields via polynomial binary cubic forms. Zbl 1290.11154
Rozenhart, Pieter; Jacobson, Michael jun.; Scheidler, Renate
2
2012
Explicit formulas for real hyperelliptic curves of genus 2 in affine representation. Zbl 1251.94027
Erickson, Stefan; Jacobson, Michael J. jun.; Stein, Andreas
2
2011
An adaptation of the NICE cryptosystem to real quadratic orders. Zbl 1142.94346
Jacobson, Michael J. jun.; Scheidler, Renate; Weimer, Daniel
2
2008
Explicit formulas for real hyperelliptic curves of genus 2 in affine representation. Zbl 1222.14050
Erickson, Stefan; Jacobson, Michael J. jun.; Shang, Ning; Shen, Shuo; Stein, Andreas
2
2007
An improved real-quadratic-field-based key exchange procedure. Zbl 1101.68551
Jacobson, Michael J. jun.; Scheidler, Renate; Williams, Hugh C.
2
2006
Algorithms for large integer matrix problems. Zbl 1056.11078
Giesbrecht, Mark; Jacobson, Michael jun.; Storjohann, Arne
2
2001
Computing discrete logarithms in quadratic orders. Zbl 0979.11059
Jacobson, Michael J. jun.
2
2000
Sieving methods for class group computation. Zbl 0936.11071
Buchmann, Johannes; Jacobson, Michael J. jun.; Neis, Stefan; Theobald, Patrick; Weber, Damian
2
1999
Fast heuristic algorithms for computing relations in the class group of a quadratic order, with applications to isogeny evaluation. Zbl 1391.11160
Biasse, Jean-François; Fieker, Claus; Jacobson, Michael J.
1
2016
Smoothness testing of polynomials over finite fields. Zbl 1358.11140
Biasse, Jean-François; Jacobson, Michael J. jun.
1
2014
Efficient reduction of large divisors on hyperelliptic curves. Zbl 1225.14049
Avanzi, Roberto; Jacobson, Michael J. jun.; Scheidler, Renate
1
2010
Fast ideal cubing in imaginary quadratic number and function fields. Zbl 1213.94110
Imbert, Laurent; Jacobson, Michael J. jun.; Schmidt, Arthur
1
2010
Practical improvements to class group and regulator computation of real quadratic fields. Zbl 1260.11088
Biasse, Jean-François; Jacobson, Michael J. jun.
1
2010
Selected areas in cryptography. 16th annual international workshop, SAC 2009, Calgary, Alberta, Canada, August 13–14, 2009. Revised selected papers. Zbl 1177.94012
Jacobson, Michael J. jun. (ed.); Rijmen, Vincent (ed.); Safavi-Naini, Reihaneh (ed.)
1
2009
Provably sublinear point multiplication on Koblitz curves and its hardware implementation. Zbl 1367.11088
Dimitrov, Vassil S.; Järvinen, Kimmo U.; Jacobson, Michael J. jun.; Chan, Wai Fong; Huang, Zhun
1
2008
Imaginary cyclic quartic fields with large minus class numbers. Zbl 1125.11350
Jacobson, M. J. jun.; Williams, H. C.; Wooding, K.
1
2004
Computational aspects of NUCOMP. Zbl 1058.11074
Jacobson, Michael J. jun.; van der Poorten, Alfred J.
1
2002
Towards practical non-interactive public key cryptosystems using non-maximal imaginary quadratic orders (extended abstract). Zbl 0981.94510
Hühnlein, Detlef; Jacobson, Michael J. jun.; Weber, Damian
1
2001
The size of the fundamental solutions of consecutive Pell equations. Zbl 0961.11007
Jacobson, Michael J. jun.; Williams, Hugh C.
1
2000
A cryptosystem based on non-maximal imaginary quadratic orders with fast decryption. Zbl 0919.94023
Hühnlein, Detlef; Jacobson, Michael J. jun.; Sachar, Paulus; Takagi, Tsuyoshi
1
1998
A note on the security of CSIDH. Zbl 1407.81083
Biasse, Jean-François; Iezzi, Annamaria; Jacobson, Michael J. jun.
2
2018
Unconditional class group tabulation of imaginary quadratic fields to \(| \Delta| < 2^{40}\). Zbl 1351.11074
Mosunov, A. S.; Jacobson, M. J. jun.
4
2016
Fast heuristic algorithms for computing relations in the class group of a quadratic order, with applications to isogeny evaluation. Zbl 1391.11160
Biasse, Jean-François; Fieker, Claus; Jacobson, Michael J.
1
2016
Construction of all cubic function fields of a given square-free discriminant. Zbl 1390.11134
Jacobson, M. J. jun.; Lee, Y.; Scheidler, R.; Williams, H. C.
3
2015
Computing quadratic function fields with high 3-rank via cubic field tabulation. Zbl 1350.11095
Rozenhart, P.; Jacobson, M. J. jun.; Scheidler, R.
2
2015
Computing discrete logarithms in the Jacobian of high-genus hyperelliptic curves over even characteristic finite fields. Zbl 1285.14031
Velichka, M. D.; Jacobson, M. J. jun.; Stein, A.
6
2014
Smoothness testing of polynomials over finite fields. Zbl 1358.11140
Biasse, Jean-François; Jacobson, Michael J. jun.
1
2014
Tabulation of cubic function fields via polynomial binary cubic forms. Zbl 1290.11154
Rozenhart, Pieter; Jacobson, Michael jun.; Scheidler, Renate
2
2012
Explicit formulas for real hyperelliptic curves of genus 2 in affine representation. Zbl 1251.94027
Erickson, Stefan; Jacobson, Michael J. jun.; Stein, Andreas
2
2011
Cryptographic aspects of real hyperelliptic curves. Zbl 1287.94075
Jacobson, Michael J. jun.; Scheidler, Renate; Stein, Andreas
4
2010
Efficient reduction of large divisors on hyperelliptic curves. Zbl 1225.14049
Avanzi, Roberto; Jacobson, Michael J. jun.; Scheidler, Renate
1
2010
Fast ideal cubing in imaginary quadratic number and function fields. Zbl 1213.94110
Imbert, Laurent; Jacobson, Michael J. jun.; Schmidt, Arthur
1
2010
Practical improvements to class group and regulator computation of real quadratic fields. Zbl 1260.11088
Biasse, Jean-François; Jacobson, Michael J. jun.
1
2010
Solving the Pell equation. Zbl 1177.11027
Jacobson, Michael J. jun.; Williams, Hugh C.
18
2009
Selected areas in cryptography. 16th annual international workshop, SAC 2009, Calgary, Alberta, Canada, August 13–14, 2009. Revised selected papers. Zbl 1177.94012
Jacobson, Michael J. jun. (ed.); Rijmen, Vincent (ed.); Safavi-Naini, Reihaneh (ed.)
1
2009
Construction of hyperelliptic function fields of high three-rank. Zbl 1131.11073
Bauer, M.; Jacobson, M. J. jun; Lee, Y.; Scheidler, R.
4
2008
An adaptation of the NICE cryptosystem to real quadratic orders. Zbl 1142.94346
Jacobson, Michael J. jun.; Scheidler, Renate; Weimer, Daniel
2
2008
Provably sublinear point multiplication on Koblitz curves and its hardware implementation. Zbl 1367.11088
Dimitrov, Vassil S.; Järvinen, Kimmo U.; Jacobson, Michael J. jun.; Chan, Wai Fong; Huang, Zhun
1
2008
Cryptographic protocols on real hyperelliptic curves. Zbl 1207.94056
Jacobson, M. J.; Scheidler, R.; Stein, A.
4
2007
Fast arithmetic on hyperelliptic curves via continued fraction expansions. Zbl 1132.14306
Jacobson, M. J. jun.; Scheidler, R.; Stein, A.
4
2007
Explicit formulas for real hyperelliptic curves of genus 2 in affine representation. Zbl 1222.14050
Erickson, Stefan; Jacobson, Michael J. jun.; Shang, Ning; Shen, Shuo; Stein, Andreas
2
2007
Numerical results on class groups of imaginary quadratic fields. Zbl 1143.11370
Jacobson, Michael J.; Ramachandran, Shantha; Williams, Hugh C.
10
2006
An improved real-quadratic-field-based key exchange procedure. Zbl 1101.68551
Jacobson, Michael J. jun.; Scheidler, Renate; Williams, Hugh C.
2
2006
Hyperelliptic curves and cryptography. Zbl 1098.94023
Jacobson, Michael jun.; Menezes, Alfred; Stein, Andreas
5
2004
Imaginary cyclic quartic fields with large minus class numbers. Zbl 1125.11350
Jacobson, M. J. jun.; Williams, H. C.; Wooding, K.
1
2004
A computational approach for solving \(y^2=1^k+2^k+\dotsb+x^k\). Zbl 1113.11075
Jacobson, M. J. jun.; Pintér, Á.; Walsh, P. G.
9
2003
New quadratic polynomials with high densities of prime values. Zbl 1009.11060
Jacobson, Michael J. jun.; Williams, Hugh C.
6
2003
Towards practical non-interactive public-key cryptosystems using non-maximal imaginary quadratic orders. Zbl 1043.94010
Hühnlein, Detlef; Jacobson, Michael J. jun.; Weber, Damian
4
2003
Modular arithmetic on elements of small norm in quadratic fields. Zbl 1028.11080
Jacobson, M. J. jun.; Williams, H. C.
3
2002
Computational aspects of NUCOMP. Zbl 1058.11074
Jacobson, Michael J. jun.; van der Poorten, Alfred J.
1
2002
Solving elliptic curve discrete logarithm problems using Weil descent. Zbl 1017.11030
Jacobson, Michael; Menezes, Alfred; Stein, Andreas
3
2001
The efficiency and security of a real quadratic field based key exchange protocol. Zbl 0986.94024
Jacobson, Michael J. jun.; Scheidler, Renate; Williams, Hugh C.
3
2001
Algorithms for large integer matrix problems. Zbl 1056.11078
Giesbrecht, Mark; Jacobson, Michael jun.; Storjohann, Arne
2
2001
Towards practical non-interactive public key cryptosystems using non-maximal imaginary quadratic orders (extended abstract). Zbl 0981.94510
Hühnlein, Detlef; Jacobson, Michael J. jun.; Weber, Damian
1
2001
Analysis of the Xedni calculus attack. Zbl 0948.11048
Jacobson, Michael J.; Koblitz, Neal; Silverman, Joseph H.; Stein, Andreas; Teske, Edlyn
9
2000
Computing discrete logarithms in quadratic orders. Zbl 0979.11059
Jacobson, Michael J. jun.
2
2000
The size of the fundamental solutions of consecutive Pell equations. Zbl 0961.11007
Jacobson, Michael J. jun.; Williams, Hugh C.
1
2000
Applying sieving to the computation of quadratic class groups. Zbl 1036.11067
Jacobson, Michael J. jun.
3
1999
Sieving methods for class group computation. Zbl 0936.11071
Buchmann, Johannes; Jacobson, Michael J. jun.; Neis, Stefan; Theobald, Patrick; Weber, Damian
2
1999
A cryptosystem based on non-maximal imaginary quadratic orders with fast decryption. Zbl 0919.94023
Hühnlein, Detlef; Jacobson, Michael J. jun.; Sachar, Paulus; Takagi, Tsuyoshi
1
1998
On some computational problems in finite abelian groups. Zbl 0894.11050
Buchmann, Johannes; Jacobson, Michael J. jun.; Teske, Edlyn
15
1997
An investigation of bounds for the regulator of quadratic fields. Zbl 0859.11057
Jacobson, Michael J. jun.; Lukes, Richard F.; Williams, Hugh C.
7
1995
all top 5

Cited by 169 Authors

14 Jacobson, Michael John jun.
8 Scheidler, Renate
4 Stein, Andreas
4 Williams, Hugh Cowie
3 Biasse, Jean-François
3 Galbraith, Steven D.
3 Menezes, Alfred J.
3 Nawata, Norio
3 Sutherland, Andrew V.
3 Teske, Edlyn
2 Achter, Jeffrey D.
2 Bérczes, Attila
2 Buchmann, Johannes A.
2 Castagnos, Guilhem
2 Gaudry, Pierrick
2 Hajdu, Lajos
2 Karaatli, Olcay
2 Keskin, Refik
2 Koblitz, Neal I.
2 Laguillaumie, Fabien
2 Lee, Yoonjin
2 Luca, Florian
2 Najman, Filip
2 Pink, István
2 Pintér, Ákos
2 Rezai Rad, Monireh
2 Rozenhart, Pieter
2 Sarkar, Palash
2 Şiar, Zafer
2 Singh, Shashank Sheshar
2 Yao, David D. W.
1 Acciaro, Vincenzo
1 Akbary, Amir
1 Aletheia-Zomlefer, Soren Laing
1 Bai, Meng
1 Bauer, Mark L.
1 Bautista-Ancona, Victor
1 Bazsó, András
1 Becerra, N.
1 Belabas, Karim
1 Bellini, Emanuele
1 Bernstein, Daniel Julius
1 Bhargava, Manjul
1 Bircan, Nihal
1 Booker, Andrew R.
1 Bourdon, Abbey
1 Broughan, Kevin A.
1 Broughton, Wayne J.
1 Cao, Zhenfu
1 Carrasco, Rolando A.
1 Cervantes-Vázquez, Daniel
1 Chen, Li
1 Cheon, Jung Hee
1 Clark, Peter Louis
1 Costello, Craig
1 de Haan, Ronald
1 Diaz-Vargas, Javier
1 Dong, Xiaolei
1 Duman, Merve Güney
1 Dupont, Régis
1 Enge, Andreas
1 Espinosa García, J.
1 Fontein, Felix
1 Fu, Bin
1 Fujita, Yasutsugu
1 Fukshansky, Lenny
1 Garcia, Stephan Ramon
1 Gorla, Elisa
1 Grau, José María
1 Hahn, Sang Geun
1 Hernández Encinas, Luis
1 Hertel, Eike
1 Hibner Koblitz, Ann
1 Hindes, Wade
1 Holmin, Sara
1 Hong, Jin
1 Hough, Patrick
1 Howe, Everett W.
1 Huang, Ming-Deh A.
1 Hürlimann, Werner
1 Jirón, Ivan
1 Jones, N. O.
1 Jones, Rafe
1 Juráš, Martin
1 Karadeniz Gözeri, Gül
1 Karpuk, David A.
1 Kawamoto, Fuminori
1 Kim, Hwan Joon
1 Klagsbrun, Zev
1 Kleinjung, Thorsten
1 Krumm, David
1 Kurlberg, Pär
1 Labrande, Hugo
1 Lamzouri, Youness
1 Lange, Tanja
1 Languasco, Alessandro
1 Lara Rodríguez, José Alejandro
1 Lauter, Kristin Estella
1 Lee, Hyeonmi
1 LeGrow, Jason T.
...and 69 more Authors
all top 5

Cited in 49 Serials

25 Mathematics of Computation
10 Journal of Number Theory
4 Rocky Mountain Journal of Mathematics
4 Designs, Codes and Cryptography
4 Experimental Mathematics
4 Advances in Mathematics of Communications
3 Duke Mathematical Journal
3 Proceedings of the American Mathematical Society
2 Discrete Applied Mathematics
2 Journal of Symbolic Computation
2 Journal de Théorie des Nombres de Bordeaux
2 Finite Fields and their Applications
2 Journal of Mathematical Cryptology
2 Research in Number Theory
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Advances in Mathematics
1 Czechoslovak Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Proceedings of the Japan Academy. Series A
1 Theoretical Computer Science
1 Tokyo Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Discrete & Computational Geometry
1 Journal of Cryptology
1 Discrete Mathematics and Applications
1 International Journal of Computer Mathematics
1 Expositiones Mathematicae
1 Applicable Algebra in Engineering, Communication and Computing
1 Tatra Mountains Mathematical Publications
1 Theory of Computing Systems
1 Journal of Inequalities and Applications
1 International Journal of Communication Systems
1 LMS Journal of Computation and Mathematics
1 Integers
1 JP Journal of Algebra, Number Theory and Applications
1 Quantum Information Processing
1 African Diaspora Journal of Mathematics
1 Science in China. Series F
1 International Journal of Number Theory
1 Asian-European Journal of Mathematics
1 Groups, Complexity, Cryptology
1 Palestine Journal of Mathematics
1 JSIAM Letters
1 ISRN Combinatorics
1 Prikladnaya Diskretnaya Matematika

Citations by Year