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Robert A. Granger - Author Profile - zbMATH Open

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Author ID: granger.robert-a Recent zbMATH articles by "Granger, Robert A."
Published as: Granger, Robert; Granger, R.; Granger, Robert A. more...

Citations contained in zbMATH Open

25 Publications have been cited 239 times in 171 Documents Cited by Year
On the function field sieve and the impact of higher splitting probabilities. Application to discrete logarithms in \(\mathbb{F}_{2^{1971}}\) and \(\mathbb{F}_{2^{3164}}\). Zbl 1316.11114
Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Zumbrägel, Jens

31

2013

Improved masking for tweakable blockciphers with applications to authenticated encryption. Zbl 1384.94065
Granger, Robert; Jovanovic, Philipp; Mennink, Bart; Neves, Samuel

29

2016

Breaking ‘128-bit secure’ supersingular binary curves. (Or how to solve discrete logarithms in \({\mathbb F}_{2^{4 \cdot 1223}}\) and \({\mathbb F}_{2^{12 \cdot 367}}\)). Zbl 1334.94080
Granger, Robert; Kleinjung, Thorsten; Zumbrägel, Jens

25

2014

Faster squaring in the cyclotomic subgroup of sixth degree extensions. Zbl 1279.94079
Granger, Robert; Scott, Michael

19

2010

Ate pairing on hyperelliptic curves. Zbl 1141.94356
Granger, R.; Hess, F.; Oyono, R.; Thériault, N.; Vercauteren, F.

16

2007

On the discrete logarithm problem in finite fields of fixed characteristic. Zbl 1428.11210
Granger, Robert; Kleinjung, Thorsten; Zumbrägel, Jens

16

2018

High security pairing-based cryptography revisited. Zbl 1143.94349
Granger, R.; Page, D.; Smart, N. P.

13

2006

Solving a 6120-bit DLP on a desktop computer. Zbl 1321.11125
Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Zumbrägel, Jens

13

2014

Practical cryptography in high dimensional tori. Zbl 1137.94362
van Dijk, Marten; Granger, Robert; Page, Dan; Rubin, Karl; Silverberg, Alice; Stam, Martijn; Woodruff, David

9

2005

On small characteristic algebraic tori in pairing-based cryptography. Zbl 1131.94314
Granger, R.; Page, D.; Stam, M.

8

2006

Experiments in fluid mechanics. Zbl 0882.76002
Granger, Robert A.

7

1995

On the discrete logarithm problem on algebraic tori. Zbl 1145.94442
Granger, R.; Vercauteren, F.

7

2005

On the enumeration of irreducible polynomials over \(\mathrm{GF}(q)\) with prescribed coefficients. Zbl 1410.11132
Granger, Robert

6

2019

An efficient deterministic test for Kloosterman sum zeros. Zbl 1285.11146
Ahmadi, Omran; Granger, Robert

5

2014

Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients. Zbl 1364.12008
Ahmadi, Omran; Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Yilmaz, Emrah Sercan

5

2016

On the static Diffie-Hellman problem on elliptic curves over extension fields. Zbl 1290.94079
Granger, Robert

4

2010

Faster ECC over \(\mathbb {F}_{2^{521}-1}\). Zbl 1345.94066
Granger, Robert; Scott, Michael

4

2015

A comparison of CEILIDH and XTR. Zbl 1125.94322
Granger, R.; Page, D.; Stam, M.

3

2004

Indiscreet logarithms in finite fields of small characteristic. Zbl 1414.11166
Granger, Robert; Kleinjung, Thorsten; Zumbrägel, Jens

3

2018

Steady three-dimensional vortex flow. Zbl 0148.21702
Granger, Robert

3

1966

On isogeny classes of Edwards curves over finite fields. Zbl 1284.11095
Ahmadi, Omran; Granger, Robert

3

2012

Generalised Mersenne numbers revisited. Zbl 1276.11201
Granger, Robert; Moss, Andrew

3

2013

Function field sieve in characteristic three. Zbl 1125.11358
Granger, R.; Holt, A. J.; Page, D.; Smart, N. P.; Vercauteren, F.

2

2004

Computation of a 30750-bit binary field discrete logarithm. Zbl 1472.11319
Granger, Robert; Kleinjung, Thorsten; Lenstra, Arjen K.; Wesolowski, Benjamin; Zumbrägel, Jens

2

2021

Computing discrete logarithms. Zbl 1483.94042
Granger, Robert; Joux, Antoine

1

2021

Computation of a 30750-bit binary field discrete logarithm. Zbl 1472.11319
Granger, Robert; Kleinjung, Thorsten; Lenstra, Arjen K.; Wesolowski, Benjamin; Zumbrägel, Jens

2

2021

Computing discrete logarithms. Zbl 1483.94042
Granger, Robert; Joux, Antoine

1

2021

On the enumeration of irreducible polynomials over \(\mathrm{GF}(q)\) with prescribed coefficients. Zbl 1410.11132
Granger, Robert

6

2019

On the discrete logarithm problem in finite fields of fixed characteristic. Zbl 1428.11210
Granger, Robert; Kleinjung, Thorsten; Zumbrägel, Jens

16

2018

Indiscreet logarithms in finite fields of small characteristic. Zbl 1414.11166
Granger, Robert; Kleinjung, Thorsten; Zumbrägel, Jens

3

2018

Improved masking for tweakable blockciphers with applications to authenticated encryption. Zbl 1384.94065
Granger, Robert; Jovanovic, Philipp; Mennink, Bart; Neves, Samuel

29

2016

Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients. Zbl 1364.12008
Ahmadi, Omran; Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Yilmaz, Emrah Sercan

5

2016

Faster ECC over \(\mathbb {F}_{2^{521}-1}\). Zbl 1345.94066
Granger, Robert; Scott, Michael

4

2015

Breaking ‘128-bit secure’ supersingular binary curves. (Or how to solve discrete logarithms in \({\mathbb F}_{2^{4 \cdot 1223}}\) and \({\mathbb F}_{2^{12 \cdot 367}}\)). Zbl 1334.94080
Granger, Robert; Kleinjung, Thorsten; Zumbrägel, Jens

25

2014

Solving a 6120-bit DLP on a desktop computer. Zbl 1321.11125
Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Zumbrägel, Jens

13

2014

An efficient deterministic test for Kloosterman sum zeros. Zbl 1285.11146
Ahmadi, Omran; Granger, Robert

5

2014

On the function field sieve and the impact of higher splitting probabilities. Application to discrete logarithms in \(\mathbb{F}_{2^{1971}}\) and \(\mathbb{F}_{2^{3164}}\). Zbl 1316.11114
Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Zumbrägel, Jens

31

2013

Generalised Mersenne numbers revisited. Zbl 1276.11201
Granger, Robert; Moss, Andrew

3

2013

On isogeny classes of Edwards curves over finite fields. Zbl 1284.11095
Ahmadi, Omran; Granger, Robert

3

2012

Faster squaring in the cyclotomic subgroup of sixth degree extensions. Zbl 1279.94079
Granger, Robert; Scott, Michael

19

2010

On the static Diffie-Hellman problem on elliptic curves over extension fields. Zbl 1290.94079
Granger, Robert

4

2010

Ate pairing on hyperelliptic curves. Zbl 1141.94356
Granger, R.; Hess, F.; Oyono, R.; Thériault, N.; Vercauteren, F.

16

2007

High security pairing-based cryptography revisited. Zbl 1143.94349
Granger, R.; Page, D.; Smart, N. P.

13

2006

On small characteristic algebraic tori in pairing-based cryptography. Zbl 1131.94314
Granger, R.; Page, D.; Stam, M.

8

2006

Practical cryptography in high dimensional tori. Zbl 1137.94362
van Dijk, Marten; Granger, Robert; Page, Dan; Rubin, Karl; Silverberg, Alice; Stam, Martijn; Woodruff, David

9

2005

On the discrete logarithm problem on algebraic tori. Zbl 1145.94442
Granger, R.; Vercauteren, F.

7

2005

A comparison of CEILIDH and XTR. Zbl 1125.94322
Granger, R.; Page, D.; Stam, M.

3

2004

Function field sieve in characteristic three. Zbl 1125.11358
Granger, R.; Holt, A. J.; Page, D.; Smart, N. P.; Vercauteren, F.

2

2004

Experiments in fluid mechanics. Zbl 0882.76002
Granger, Robert A.

7

1995

Steady three-dimensional vortex flow. Zbl 0148.21702
Granger, Robert

3

1966

all top 5

Cited by 308 Authors

8 Mennink, Bart
7 Galbraith, Steven D.
7 Guillevic, Aurore
7 Rodríguez-Henríquez, Francisco
6 Joux, Antoine
6 Pierrot, Cécile
6 Scott, Michael
5 Gaudry, Pierrick
5 Kleinjung, Thorsten
5 Nandi, Mridul
4 Aranha, Diego F.
4 Granger, Robert A.
4 Menezes, Alfred J.
4 Naehrig, Michael
4 Thomé, Emmanuel
4 Zhuang, Jincheng
4 Zumbrägel, Jens
3 Adj, Gora
3 Barreto, Paulo S. L. M.
3 De Micheli, Gabrielle
3 Duquesne, Sylvain
3 El Housni, Youssef
3 El Mrabet, Nadia
3 Gao, Zhicheng
3 Göloğlu, Faruk
3 Gorla, Elisa
3 Inoue, Akiko
3 Jha, Ashwin
3 Knapp, Edward
3 List, Eik
3 Massierer, Maike
3 Mesnager, Sihem
3 Minematsu, Kazuhiko
3 Sarkar, Palash
3 Takagi, Tsuyoshi
3 Wesolowski, Benjamin
3 Zinov’ev, Viktor Aleksandrovich
2 Abe, Masayuki
2 Bassalygo, Leonid A.
2 Beuchat, Jean-Luc
2 Bhattacharjee, Arghya
2 Canales-Martínez, Isaac A.
2 Cheng, Qi
2 Cogliati, Benoît
2 Costello, Craig
2 Datta, Pratish
2 Detrey, Jérémie
2 Erdoğan, M. Emin
2 Fan, Xinxin
2 Forler, Christian
2 Gong, Guang
2 Gu, Dawu
2 Hofheinz, Dennis
2 Huang, Ming-Deh A.
2 İmrak, C. Erdem
2 Ionica, Sorina
2 Iwata, Tetsu
2 Jao, David
2 Karabina, Koray
2 Kawahara, Yuto
2 Kim, Kwang Ho
2 Lauter, Kristin Estella
2 Lee, Hyangsook
2 Lee, Jooyoung
2 Lin, Dongdai
2 Lin, Xibin
2 Liu, Lian
2 Lucks, Stefan
2 Luykx, Atul
2 Lv, Chang
2 Moody, Dustin
2 Morain, François
2 Mukhopadhyay, Madhurima
2 Neves, Samuel
2 Nishimaki, Ryo
2 Ó hÉigeartaigh, Colm
2 Ohkubo, Miyako
2 Oliveira, Thomaz
2 Page, Dan
2 Pan, Jiaxin
2 Poettering, Bertram
2 Rivera-Zamarripa, Luis
2 Sasaki, Yu
2 Smart, Nigel Paul
2 Vercauteren, Frederik
2 Wang, Lei
2 Wenzel, Jakob
2 Xu, Maozhi
2 Zhao, Changan
2 Zhu, Yuqing
1 Aaraj, Najwa
1 Abed, Farzaneh
1 Achter, Jeffrey D.
1 Ahmadi, Omran
1 Al Aswad, Haetham
1 Ali, Shoukat
1 Aoki, Kazumaro
1 Apostol, Marian
1 Araújo, Filipe
1 Arenas, Mónica P.
...and 208 more Authors

Citations by Year