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Mathematical Cryptography and Secure Computation Lab
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The lab studies the mathematics of cryptography and secure computation.

AboutAbout the lab
Thinking about the security of cryptography through mathematics.
Professor Koji Nuida mainly researches the mathematics of cryptography and secure computation.
In addition to secure computation technologies, the professor works on evaluating the mathematical security of cryptographic techniques, including post-quantum cryptography, and on the theoretical foundations of cryptography, including how to use pseudorandom numbers.
In mathematics, the professor conducts research on combinatorial group theory, including the structure theory of Coxeter groups, as well as on combinatorics and discrete mathematics.
Key terms
- Secure computation
- A cryptographic technology that allows multiple users to compute the value of a function of their inputs without revealing their individual input data to one another.
- Pseudorandom numbers
- Numbers that look random but are generated by a fixed procedure, used in cryptographic implementations in place of ideal random numbers.
NewsLab news
Professor Nuida's book Cryptography × Mathematics (Nippon Hyoron Sha) has been published
A co-authored book, From Secure Computation by Cryptographic Theory to Privacy-Preserving Data Analysis, has been published
ResearchResearch themes
Professor Koji Nuida conducts research in both cryptography and mathematics. In cryptography, the work covers secure computation and the evaluation of the security of cryptographic techniques; in mathematics, it deals with groups and combinatorics.
View More ↗MembersFaculty
- ProfessorKoji Nuida
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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: “Computational Group Theory” DrRezaZomorrodian / CC BY-SA 4.0 (cropped)
- Mathematical cryptography and secure computation: “Multiple encryption methods applied on image” Laserlicht / CC0 (cropped)
- Related lab (Multivariate Polynomial Cryptography and Number Theory Lab): “Quantum computer, Germany (16)” European Union / CC BY 4.0 (cropped)
- Related lab (Multivariate Polynomial Cryptography and Number Theory Lab): “Шифровальный диск 1865” A.M. Photo-Litho. CO. N.Y. (Osborne's Process) / Public domain (cropped)
- Related lab (Computer Algebra and Symbolic Computation Lab): “Roots of polynomial and its derivative” Illustr / CC BY-SA 4.0 (cropped)
- Related lab (Computer Algebra and Symbolic Computation Lab (Ryoya Fukasaku)): “Polynomial expansion” Min666645 / CC BY-SA 3.0 (cropped)
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