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Cryptography and Mathematical Informatics Lab
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The lab uses mathematics to design and break the cryptography that keeps the information society secure.
AboutAbout the lab
Cryptography that can withstand the age of quantum computers.
The Cryptography and Mathematical Informatics Lab studies cryptographic theory and information security, which keep the information society secure.
The security of public-key cryptography and digital signatures rests on the hardness of mathematical problems such as integer factorization and the shortest vector problem for lattices.
The lab examines how secure those mathematical problems really are and considers how they affect cryptographic protocols and information security.
The lab also works on security evaluation and efficient implementation of post-quantum cryptography, which is designed to resist attacks even by quantum computers.
Key terms
- Public-key cryptography
- A type of cryptography in which the key can be made public. Anyone can encrypt, but only the person who holds the paired secret key can decrypt.
- Post-quantum cryptography
- Cryptography based on mathematical problems that remain hard to solve even once quantum computers become practical.
- Lattice-based cryptography
- Cryptography whose security rests on the hardness of finding the shortest vector among regularly arranged points.
NewsLab news
The lab developed a new algorithm for attacking next-generation cryptography and set a world record in solving the MQ problem.
The digital signature schemes QR-UOV and SQIsign, both proposed by the lab, advanced to Round 3 of NIST's post-quantum cryptography standardization.
A doctoral student received the Information Security Research Encouragement Award from the IEICE Technical Committee on Information Security (ISEC).
In collaboration with KDDI Research, Inc., the lab achieved a world record in a cryptanalysis challenge on code-based cryptography.
A paper by Associate Professor Takayasu and colleagues received the Special Award of the Shigeo Tsujii Security Paper Award.
ResearchResearch themes
Information security is one of the most important elements among the technologies that support the information society. By applying cryptographic techniques, one can build cryptographic protocols that serve as secure communication infrastructure. The security of public-key cryptography and digital signatures rests on the hardness of mathematical problems, and verifying that security is the lab's central theme.
*Illustrative imagePost-Quantum Cryptography
This is cryptography built on mathematical problems that can withstand attacks by quantum computers. The lab studies security evaluation and efficient implementation methods for the leading approaches, lattice-based cryptography and multivariate polynomial cryptography. It also works on rigorous security evaluation using lattice reduction algorithms.
*Illustrative imageInformation Security
The aim is the use of cryptography in real-world applications such as copyright protection, electronic voting, and cryptocurrency. The lab studies the design of efficient cryptographic algorithms and implementation techniques that remain secure even against physical attacks.
*Illustrative imageConstruction and Analysis of Cryptography
The lab studies how to construct public-key cryptography, especially post-quantum cryptography, and how to prove its security. It also investigates algorithms for attacking and breaking cryptographic schemes and the mathematical problems related to their security.
*Illustrative imageMathematics of Cryptography and Number-Theoretic Algorithms
The lab studies post-quantum cryptography that uses algebraic varieties, including elliptic curves. It also works on constructing and improving the efficiency of algorithms that can be applied to building cryptography, such as primality proving and the computation of modular polynomials.
MembersFaculty
The members of the Cryptography and Mathematical Informatics Lab consist of faculty, project researchers, and graduate students in the doctoral and master's programs.As of 2026
- ProfessorTsuyoshi TakagiPublications ↗
- Associate ProfessorAtsushi TakayasuPublications ↗
- Project LecturerHiroshi OnukiPublications ↗
- Assistant Professor相川 勇輔
- Project Assistant Professor大橋 亮
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Enigma-IMG 0487-black” Rama / CC BY-SA 2.0 fr (cropped)
- Post-Quantum Cryptography: “Lattice-reduction” Catslash / Public domain (cropped)
- Information Security: “Rusty Padlock Close Up” Saishna96 / CC BY-SA 4.0 (cropped)
- Construction and Analysis of Cryptography: “IBM Q at CES ( )” Lars Ploughman / CC BY-SA 2.0 (cropped)
- Mathematics of Cryptography and Number-Theoretic Algorithms: “Curve25519 plot” Snaily / CC BY-SA 4.0 (cropped)
- Related lab (Communication System Architecture Lab): “Racks Amravati Data Center” PiDatacenters / CC BY-SA 4.0 (cropped)
- Related lab (Computational Informatics Lab): “SocialNetworkAnalysis” Martin Grandjean / CC BY-SA 4.0 (cropped)
- Related lab (Mathematical Planning and Informatics Lab): “Vierwies wind farm, seen from a hot air balloon, Zele, 2026” DimiTalen / CC0 (cropped)
- Related lab (Computing Systems Lab (Nakamura-Takase)): “Pleiades two row” NASA Ames Research Center / Public domain (cropped)
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