Hits ?▲ |
Authors |
Title |
Venue |
Year |
Link |
Author keywords |
201 | Heejin Park, Sang-Kil Park, Ki-Ryong Kwon, Dong Kyue Kim |
Probabilistic Analyses on Finding Optimal Combinations of Primality Tests in Real Applications. |
ISPEC |
2005 |
DBLP DOI BibTeX RDF |
|
135 | Ingrid Biehl, Tsuyoshi Takagi |
A New Distributed Primality Test for Shared RSA Keys Using Quadratic Fields. |
ACISP |
2002 |
DBLP DOI BibTeX RDF |
Distributed RSA, quadratic fields, parallel computation, primality test |
111 | Shafi Goldwasser, Joe Kilian |
Primality Testing Using Elliptic Curves. |
J. ACM |
1999 |
DBLP DOI BibTeX RDF |
distribution of primes, prime certification, prime generation, elliptic curves, group theory, primes, Las Vegas algorithms |
96 | Qi Cheng 0001 |
Primality Proving via One Round in ECPP and One Iteration in AKS. |
J. Cryptol. |
2007 |
DBLP DOI BibTeX RDF |
|
96 | Qi Cheng 0001 |
Primality Proving via One Round in ECPP and One Iteration in AKS. |
CRYPTO |
2003 |
DBLP DOI BibTeX RDF |
|
81 | Preda Mihailescu |
A Primality Test Using Cyclotomic Extensions. |
AAECC |
1988 |
DBLP DOI BibTeX RDF |
|
75 | Manindra Agrawal, Somenath Biswas |
Primality and identity testing via Chinese remaindering. |
J. ACM |
2003 |
DBLP DOI BibTeX RDF |
Primality testing, polynomial identity testing |
75 | Manindra Agrawal, Somenath Biswas |
Primality and Identity Testing via Chinese Remaindering. |
FOCS |
1999 |
DBLP DOI BibTeX RDF |
Primality testing, Polynomial identity testing |
72 | François Morain |
Distributed Primality Proving and the Primality of (23539+1)/3. |
EUROCRYPT |
1990 |
DBLP DOI BibTeX RDF |
|
66 | Jens Franke, Thorsten Kleinjung, François Morain, T. Wirth |
Proving the Primality of Very Large Numbers with fastECPP. |
ANTS |
2004 |
DBLP DOI BibTeX RDF |
|
66 | Hendrik W. Lenstra Jr. |
Primality Testing with Gaussian Periods. |
FSTTCS |
2002 |
DBLP DOI BibTeX RDF |
|
66 | Preda Mihailescu |
Cyclotomy Primality Proving - Recent Developments. |
ANTS |
1998 |
DBLP DOI BibTeX RDF |
|
51 | Pedro Berrizbeitia, Siguna Müller, Hugh C. Williams |
Pseudocubes and Primality Testing. |
ANTS |
2004 |
DBLP DOI BibTeX RDF |
|
51 | François Morain |
Primality Proving Using Elliptic Curves: An Update. |
ANTS |
1998 |
DBLP DOI BibTeX RDF |
|
51 | Wieb Bosma, Marc-Paul van der Hulst |
Faster Primality Testing (Extended Abstract). |
EUROCRYPT |
1989 |
DBLP DOI BibTeX RDF |
|
51 | Pierre Beauchemin, Gilles Brassard, Claude Crépeau |
Two Observations on Probabilistic Primality Testing. |
CRYPTO |
1986 |
DBLP DOI BibTeX RDF |
|
51 | Martin Fürer |
Deterministic and Las Vegas Primality Testing Algorithms. |
ICALP |
1985 |
DBLP DOI BibTeX RDF |
|
45 | Daniel Bleichenbacher |
Breaking a Cryptographic Protocol with Pseudoprimes. |
Public Key Cryptography |
2005 |
DBLP DOI BibTeX RDF |
|
45 | Eric Allender, Michael E. Saks, Igor E. Shparlinski |
A Lower Bound for Primality. |
CCC |
1999 |
DBLP DOI BibTeX RDF |
Circuit Complexity Lower Bounds, Primality, Square-Free Numbers, GCD |
39 | Wim Martens, Matthias Niewerth, Thomas Schwentick |
Schema design for XML repositories: complexity and tractability. |
PODS |
2010 |
DBLP DOI BibTeX RDF |
language primality, complexity, xml, xml schemas |
39 | Jin-yi Cai, Hong Zhu 0004 |
Progress in Computational Complexity Theory. |
J. Comput. Sci. Technol. |
2005 |
DBLP DOI BibTeX RDF |
computational complexity theory, PCP theorem, logspace complexity, Reingold's theorem, GAP problem, complexity of lattice problems, worst-case to average-case reductions, extractors, pseudorandomness, inapproximability, primality testing, theoretical computer science, holographic algorithms |
39 | Joy Algesheimer, Jan Camenisch, Victor Shoup |
Efficient Computation Modulo a Shared Secret with Application to the Generation of Shared Safe-Prime Products. |
CRYPTO |
2002 |
DBLP DOI BibTeX RDF |
safe primes, distributed primality test, RSA, threshold cryptography |
39 | Siguna Müller |
A Note on Strong Dickson Pseudoprimes. |
Appl. Algebra Eng. Commun. Comput. |
1998 |
DBLP DOI BibTeX RDF |
Carmichael numbers, Dickson pseudoprimes, Euler pseudoprimes, Carmichael Lucas pseudoprimes, Dickson polynomials, Lucas sequences, Primality testing |
39 | Adam L. Young, Moti Yung |
Finding Length-3 Positive Cunningham Chains. |
ANTS |
1998 |
DBLP DOI BibTeX RDF |
Cunningham Chains, Auto-Recoverable and Auto-Certifiable Cryptosystem, ElGamal system, Public-Key Cryptosystems, Primality testing |
39 | Dan Boneh, Matthew K. Franklin |
Efficient Generation of Shared RSA Keys (Extended Abstract). |
CRYPTO |
1997 |
DBLP DOI BibTeX RDF |
RSA, Threshold Cryptography, Multiparty computation, Primality testing |
36 | Kai Salomaa |
Language Decompositions, Primality, and Trajectory-Based Operations. |
CIAA |
2008 |
DBLP DOI BibTeX RDF |
|
36 | Laurent Théry, Guillaume Hanrot |
Primality Proving with Elliptic Curves. |
TPHOLs |
2007 |
DBLP DOI BibTeX RDF |
|
36 | Ivan Damgård, Gudmund Skovbjerg Frandsen |
An Extended Quadratic Frobenius Primality Test with Average- and Worst-Case Error Estimate. |
J. Cryptol. |
2006 |
DBLP DOI BibTeX RDF |
|
36 | Manindra Agrawal |
Primality Tests Based on Fermat's Little Theorem. |
ICDCN |
2006 |
DBLP DOI BibTeX RDF |
|
36 | Ivan Damgård, Gudmund Skovbjerg Frandsen |
An Extended Quadratic Frobenius Primality Test with Average and Worst Case Error Estimates. |
FCT |
2003 |
DBLP DOI BibTeX RDF |
|
36 | Winfried B. Müller, Alan Oswald |
Dickson Pseudoprimes and Primality Testing. |
EUROCRYPT |
1991 |
DBLP DOI BibTeX RDF |
|
36 | Erich L. Kaltofen, Thomas Valente, Norika Yui |
An Improved Las Vegas Primality Test. |
ISSAC |
1989 |
DBLP DOI BibTeX RDF |
|
36 | Joos Heintz, Malte Sieveking |
Absolute Primality of Polynomials is Decidable in Random Polynomial Time in the Number of Variables. |
ICALP |
1981 |
DBLP DOI BibTeX RDF |
|
30 | Raúl Durán Díaz, Jaime Muñoz Masqué, Alberto Peinado Domínguez |
A Twin for Euler's phi Function in F2[X]. |
WAIFI |
2007 |
DBLP DOI BibTeX RDF |
Characteristic-2 field, Euler ? function, polynomial factorization |
30 | Georg Gottlob, Reinhard Pichler, Fang Wei 0001 |
Tractable database design through bounded treewidth. |
PODS |
2006 |
DBLP DOI BibTeX RDF |
database design, normal forms, fixed-parameter tractability, tree decomposition, bounded treewidth |
30 | Erich L. Kaltofen |
Polynomial factorization: a success story. |
ISSAC |
2003 |
DBLP DOI BibTeX RDF |
black box polynomial, randomized algorithm, polynomial factorization, lattice basis reduction, symbolic/numeric hybrid method, straight line program |
30 | Oded Goldreich 0001, Avi Wigderson |
Derandomization That Is Rarely Wrong from Short Advice That Is Typically Good. |
RANDOM |
2002 |
DBLP DOI BibTeX RDF |
|
30 | Adam Obtulowicz |
Probabilistic P Systems. |
WMC-CdeA |
2002 |
DBLP DOI BibTeX RDF |
|
30 | Alexandru Mateescu, Arto Salomaa |
Post Correspondence Problem: Primitivity and Interrelations with Complexity Classes. |
MFCS |
1993 |
DBLP DOI BibTeX RDF |
|
30 | François Morain |
Building Elliptic Curves Modulo Large Primes. |
EUROCRYPT |
1991 |
DBLP DOI BibTeX RDF |
|
30 | Ueli M. Maurer |
Fast Generation of Secure RSA-Moduli with Almost Maximal Diversity. |
EUROCRYPT |
1989 |
DBLP DOI BibTeX RDF |
|
24 | David S. Johnson |
The NP-completeness column. |
ACM Trans. Algorithms |
2005 |
DBLP DOI BibTeX RDF |
lattice bases, NP-completeness, coding theory, perfect graphs, primality testing, open problems |
24 | Dan Boneh, Matthew K. Franklin |
Efficient generation of shared RSA keys. |
J. ACM |
2001 |
DBLP DOI BibTeX RDF |
RSA, threshold cryptography, Multiparty computation, primality testing |
24 | Leonard M. Adleman |
Algorithmic Number Theory-The Complexity Contribution |
FOCS |
1994 |
DBLP DOI BibTeX RDF |
algorithmic number theory, computational complexity, factoring, primality testing, open problems |
21 | Shaull Almagor, Guy Avni, Henry Sinclair-Banks, Asaf Yeshurun |
Dimension-Minimality and Primality of Counter Nets. |
FoSSaCS (2) |
2024 |
DBLP DOI BibTeX RDF |
|
21 | Yanan (Nancy) Jiang, Bangzheng Li, Sophie Zhu |
On the primality and elasticity of algebraic valuations of cyclic free semirings. |
Int. J. Algebra Comput. |
2023 |
DBLP DOI BibTeX RDF |
|
21 | Joseph Shunia |
An Efficient Deterministic Primality Test. |
Electron. Colloquium Comput. Complex. |
2023 |
DBLP BibTeX RDF |
|
21 | Moustafa Ibrahim |
On the Eight Levels theorem and applications towards Lucas-Lehmer primality test for Mersenne primes, I. |
CoRR |
2023 |
DBLP DOI BibTeX RDF |
|
21 | Shaull Almagor, Guy Avni, Henry Sinclair-Banks, Asaf Yeshurun |
Dimension-Minimality and Primality of Counter Nets. |
CoRR |
2023 |
DBLP DOI BibTeX RDF |
|
21 | Walid Marweni |
Primality, criticality and minimality problems in trees. |
Discret. Math. Algorithms Appl. |
2023 |
DBLP DOI BibTeX RDF |
|
21 | Pavel Atnashev |
A simpler alternative to Lucas-Lehmer-Riesel primality test. |
IACR Cryptol. ePrint Arch. |
2023 |
DBLP BibTeX RDF |
|
21 | Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche |
Random primes without primality testing. |
CoRR |
2022 |
DBLP BibTeX RDF |
|
21 | Laurent Théry, Sophia Antipolis |
Primality Tests and Prime Certificate. |
CoRR |
2022 |
DBLP DOI BibTeX RDF |
|
21 | Erich L. Kaltofen |
The GKR Protocol Revisited: Nearly Optimal Prover-Complexity for Polynomial-Time Wiring Algorithms and for Primality Testing in n1/2+o(1) Rounds. |
ISSAC |
2022 |
DBLP DOI BibTeX RDF |
|
21 | Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche |
Random Primes without Primality Testing. |
ISSAC |
2022 |
DBLP DOI BibTeX RDF |
|
21 | Wissem Achour, Djamal Chaabane, Víctor Blanco |
An improved algorithm to compute the ømega-primality. |
Optim. Lett. |
2021 |
DBLP DOI BibTeX RDF |
|
21 | Luca Calderoni, Luciano Margara, Moreno Marzolla |
Direct product primality testing of graphs is GI-hard. |
Theor. Comput. Sci. |
2021 |
DBLP DOI BibTeX RDF |
|
21 | Robert Baillie, Andrew Fiori, Samuel S. Wagstaff Jr. |
Strengthening the Baillie-PSW primality test. |
Math. Comput. |
2021 |
DBLP DOI BibTeX RDF |
|
21 | Maheswara Rao Valluri |
Combinatorial primality test. |
ACM Commun. Comput. Algebra |
2020 |
DBLP DOI BibTeX RDF |
|
21 | Shamil Talgatovich Ishmukhametov, Bulat Gazinurovich Mubarakov, Ramilya Gakilevna Rubtsova |
On the Number of Witnesses in the Miller-Rabin Primality Test. |
Symmetry |
2020 |
DBLP DOI BibTeX RDF |
|
21 | Robert Baillie, Andrew Fiori, Samuel S. Wagstaff Jr. |
Strengthening the Baillie-PSW primality test. |
CoRR |
2020 |
DBLP BibTeX RDF |
|
21 | Luca Calderoni, Luciano Margara, Moreno Marzolla |
Direct Product Primality Testing of Graphs is GI-hard. |
CoRR |
2020 |
DBLP BibTeX RDF |
|
21 | Anas Ahmad Abudaqa, Amjad Abu-Hassan, Muhammad Imam |
Taxonomy and Practical Evaluation of Primality Testing Algorithms. |
CoRR |
2020 |
DBLP BibTeX RDF |
|
21 | Grenville J. Croll |
BiEntropy, TriEntropy and Primality. |
Entropy |
2020 |
DBLP DOI BibTeX RDF |
|
21 | Vladimir Sedlacek, Jan Jancar, Petr Svenda |
Fooling primality tests on smartcards. |
IACR Cryptol. ePrint Arch. |
2020 |
DBLP BibTeX RDF |
|
21 | Jake Massimo, Kenneth G. Paterson |
A Performant, Misuse-Resistant API for Primality Testing. |
IACR Cryptol. ePrint Arch. |
2020 |
DBLP BibTeX RDF |
|
21 | Jake Massimo, Kenneth G. Paterson |
A Performant, Misuse-Resistant API for Primality Testing. |
CCS |
2020 |
DBLP DOI BibTeX RDF |
|
21 | Vladimir Sedlacek, Jan Jancar, Petr Svenda |
Fooling Primality Tests on Smartcards. |
ESORICS (2) |
2020 |
DBLP DOI BibTeX RDF |
|
21 | Bhupendra Nath Tiwari, Jude Kibinde Kuipo, Joshua Muyiwa Adeegbe, Ninoslav Marina |
Optimized AKS Primality Testing: A Fluctuation Theory Perspective. |
Cryptogr. |
2019 |
DBLP DOI BibTeX RDF |
|
21 | Dandan Huang, Yunling Kang |
Primality Testing for Numbers of the Form h · 2n ± 1. |
J. Syst. Sci. Complex. |
2019 |
DBLP DOI BibTeX RDF |
|
21 | Dhananjay S. Phatak, Alan T. Sherman, Steven D. Houston, Andrew Henry |
PPT: New Low Complexity Deterministic Primality Tests Leveraging Explicit and Implicit Non-Residues. A Set of Three Companion Manuscripts. |
CoRR |
2019 |
DBLP BibTeX RDF |
|
21 | Grenville J. Croll |
BiEntropy, TriEntropy and Primality. |
CoRR |
2019 |
DBLP BibTeX RDF |
|
21 | Philip Sieder |
A Lower Bound for Primality of Finite Languages. |
CoRR |
2019 |
DBLP BibTeX RDF |
|
21 | Emanuel Guariglia |
Primality, Fractality, and Image Analysis. |
Entropy |
2019 |
DBLP DOI BibTeX RDF |
|
21 | |
Combinatorial Primality Test. |
IACR Cryptol. ePrint Arch. |
2019 |
DBLP BibTeX RDF |
|
21 | Daniel Stüwe, Manuel Eberl |
Probabilistic Primality Testing. |
Arch. Formal Proofs |
2019 |
DBLP BibTeX RDF |
|
21 | Qasem Abu Al-Haija, Ibrahim Marouf, Mohammad M. Asad, Pankaj Mishra |
Pipelined Implementation of Millar-Rabin Primality Tester Using Altera FPGA Kit. |
SSCC |
2019 |
DBLP DOI BibTeX RDF |
|
21 | Dandan Huang, Zheng Zhang, Zhihao Tang |
Fast Algorithms on Primality Testing for Numbers 255 ⋅ 2^n ± 1. |
SmartWorld/SCALCOM/UIC/ATC/CBDCom/IOP/SCI |
2019 |
DBLP DOI BibTeX RDF |
|
21 | Wun-Seng Chou, Tian-Xiao He, Peter J.-S. Shiue |
On the Primality of the Generalized Fuss-Catalan Numbers. |
J. Integer Seq. |
2018 |
DBLP BibTeX RDF |
|
21 | Alvaro Donis-Vela, Juan Carlos García-Escartín |
A quantum primality test with order finding. |
Quantum Inf. Comput. |
2018 |
DBLP DOI BibTeX RDF |
|
21 | Jürgen Riedel, Hector Zenil |
Rule Primality, Minimal Generating Sets and Turing-Universality in the Causal Decomposition of Elementary Cellular Automata. |
J. Cell. Autom. |
2018 |
DBLP BibTeX RDF |
|
21 | Tejas R. Rao |
An open source software package for primality testing of numbers of the form p2^n+1, with no constraints on the relative sizes of p and 2n. |
PeerJ Prepr. |
2018 |
DBLP DOI BibTeX RDF |
|
21 | Jared D. Lichtman, Carl Pomerance |
Improved error bounds for the Fermat primality test on random inputs. |
Math. Comput. |
2018 |
DBLP DOI BibTeX RDF |
|
21 | Martin R. Albrecht, Jake Massimo, Kenneth G. Paterson, Juraj Somorovsky |
Prime and Prejudice: Primality Testing Under Adversarial Conditions. |
IACR Cryptol. ePrint Arch. |
2018 |
DBLP BibTeX RDF |
|
21 | Martin R. Albrecht, Jake Massimo, Kenneth G. Paterson, Juraj Somorovsky |
Prime and Prejudice: Primality Testing Under Adversarial Conditions. |
CCS |
2018 |
DBLP DOI BibTeX RDF |
|
21 | Liangshun Wu, Hengjin Cai |
The Periodicity of Fibonacci Sequence Modulo a Prime and Its Application in Primality Testing. |
CSAE |
2018 |
DBLP DOI BibTeX RDF |
|
21 | Tom Müller |
On the Exponents of Non-Trivial Divisors of Odd Numbers and a Generalization of Proth's Primality Theorem. |
J. Integer Seq. |
2017 |
DBLP BibTeX RDF |
|
21 | Carla Purdy, Yasaswy Kasarabada, George B. Purdy |
Hardware implementation of the Baillie-PSW primality test. |
MWSCAS |
2017 |
DBLP DOI BibTeX RDF |
|
21 | Jan Macheta, Agnieszka Dabrowska-Boruch, Pawel Russek, Kazimierz Wiatr |
ArPALib: A Big Number Arithmetic Library for Hardware and Software Implementations. A Case Study for the Miller-Rabin Primality Test. |
ARC |
2017 |
DBLP DOI BibTeX RDF |
|
21 | Alexander Abatzoglou, Alice Silverberg, Andrew V. Sutherland, Angela Wong |
A framework for deterministic primality proving using elliptic curves with complex multiplication. |
Math. Comput. |
2016 |
DBLP DOI BibTeX RDF |
|
21 | Frederic Green |
Review of: Primality Testing for Beginners by Lasse Rempe-Gillen and Rebecca Waldecker. |
SIGACT News |
2016 |
DBLP DOI BibTeX RDF |
|
21 | Lalitha Kiran Nemana, V. Ch. Venkaiah |
An Empirical Study towards Refining the AKS Primality Testing Algorithm. |
IACR Cryptol. ePrint Arch. |
2016 |
DBLP BibTeX RDF |
|
21 | Eric L. Roettger, Hugh C. Williams, Richard K. Guy |
Some primality tests that eluded Lucas. |
Des. Codes Cryptogr. |
2015 |
DBLP DOI BibTeX RDF |
|
21 | Christopher O'Neill, Roberto Pelayo |
How Do You Measure Primality? |
Am. Math. Mon. |
2015 |
DBLP DOI BibTeX RDF |
|
21 | José María Grau, Antonio M. Oller-Marcén, Daniel Sadornil |
A primality test for Kpn+1 numbers. |
Math. Comput. |
2015 |
DBLP DOI BibTeX RDF |
|
21 | Cristina-Loredana Duta, Laura Gheorghe, Nicolae Tapus |
Framework for Evaluation and Comparison of Primality Testing Algorithms. |
CSCS |
2015 |
DBLP DOI BibTeX RDF |
|
21 | Michal Forisek, Jakub Jancina |
Fast Primality Testing for Integers That Fit into a Machine Word. |
SOFSEM (Student Research Forum Papers / Posters) |
2015 |
DBLP BibTeX RDF |
|
21 | Emil Vatai |
Sieving in primality testing and factorization |
|
2015 |
RDF |
|
21 | Alice Silverberg |
Some remarks on primality proving and elliptic curves. |
Adv. Math. Commun. |
2014 |
DBLP DOI BibTeX RDF |
|
21 | Kazuki Azami, Shigenori Uchiyama |
Primality testing of Woodall numbers. |
JSIAM Lett. |
2014 |
DBLP DOI BibTeX RDF |
|