Cryptography and Residue Arithmetic
Cryptography and Residue Arithmetic is a research topic within Information Systems. Science Explorer counts 9.8k research works in it since 1956. 22.6% of them reached the world's top 10% most cited for their field and year.
This cluster of papers explores the applications, algorithms, and implementations of elliptic curve cryptography, with a focus on pairing-based cryptosystems, efficient algorithms for finite fields, quantum-resistant cryptosystems, and protection against side-channel attacks. It also covers hardware implementations and the use of elliptic curves in public key encryption.
- Elliptic Curves
- Cryptography
- Pairing-Based Cryptosystems
- Efficient Algorithms
- Quantum-Resistant Cryptosystems
- Finite Fields
- Modular Multiplication
- Side-Channel Attacks
- Public Key Encryption
- Hardware Implementations
- Research works
- 9.8k fractional, since 1956
- In the world top 10%
- 2.2k per year above
- Top-10% rate
- 22.6% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- -3% the tick is no change
Which countries lead Cryptography and Residue Arithmetic research?
By volume, China and India publish the most (269 and 223 works in 2022–2025).
By volume, 2022–2025
- 1 China 269 works
- 2 India 223 works
- 3 United States 169 works
- 4 Japan 80 works
- 5 France 73 works
- 6 South Korea 48 works
- 7 Germany 47 works
- 8 Russia 38 works
- 9 United Kingdom 33 works
- 10 Canada 32 works
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Cryptography and Residue Arithmetic research?
By volume in 2022–2025, The University of Tokyo publishes the most Cryptography and Residue Arithmetic research, followed by Centre National de la Recherche Scientifique and State Key Laboratory of Cryptology.
By volume, 2022–2025
- 1 The University of TokyoJapan 14 works
- 2 Centre National de la Recherche ScientifiqueFrance 10 works
- 3 State Key Laboratory of CryptologyChina 8 works
- 4 Inha UniversitySouth Korea 8 works
- 5 KU LeuvenBelgium 8 works
- 6 Sidi Mohamed Ben Abdellah UniversityMorocco 7 works
- 7 Sun Yat-sen UniversityChina 7 works
- 8 University of WaterlooCanada 7 works
- 9 University of Chinese Academy of SciencesChina 7 works
- 10 Institute of Information EngineeringChina 7 works
Who are the leading researchers in Cryptography and Residue Arithmetic?
The most-cited researchers publishing on Cryptography and Residue Arithmetic include Dan Boneh, Adi Shamir and Craig Gentry.
- 1 Dan Boneh United States 7.5k citations
- 2 Adi Shamir Israel 6.3k citations
- 3 Craig Gentry United States 2.9k citations
- 4 Brent Waters United States 2.8k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Cryptography and Residue Arithmetic research done?
The largest centres of Cryptography and Residue Arithmetic research in 2022–2025 are Beijing (China), Tokyo (Japan), Paris (France) and Seoul (South Korea).
Where is the best place to study Cryptography and Residue Arithmetic?
Among universities, judged by research, The University of Tokyo score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | The University of TokyoJapan | 53.7 | 12.5% | 8.1× | 14 | +72.0% |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Cryptography and Residue Arithmetic research growing?
Output in 2018–2022 was 3% lower than in 2013–2017, peaking in 2025.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.