Who we are

Our research team is mainly interested in mathematical aspects of cryptology with a focus on algorithms for number theory, algebraic geometry, and cryptanalysis.

Here you'll find an informal presentation (in RUS) of our team.

Our members:

• Ekaterina Malygina, кандидат физ.-мат. наук (PhD)
• Semyon Novoselov, teaching assistant
• Elena Kirshanova, PhD
• Nikita Kolesnikov, teaching assistant
• Eugenii Mel'nichuk, teaching assistant

Main collaborations: ENS Lyon , Ruhr University Bochum

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What's up

Our research

Recent publications:

• Проект стандартизации пост-квантовой цифровой подписи (A draft for standartisation proposal of a lattice-based signature scheme, in RUS)
  Elena Kirshanova, Nikita Kolesknikov, Ekaterina Malygina, Semyon Novoselov
• Алгоритм вычисления элемента Штикельбергера для мнимых мультиквадратичных полей (An algorithm for computing the Stikelberger element for imaginary multiquadratic field, in RUS)
  Elena Kirshanova, Ekaterina Malygina, Semyon Novoselov, Denis Olefirenko

What we teach

2020 Autumn term

• Coding theory
• Algorithms for elliptic curve cryptography
• Applied Algebra
• Number Theory
• Fast multiplicators
• Algebraic Number Theory

2020 Spring term

• Git + LaTeX + Sage (short summer course)
• Information Security

2019 Autumn term

• Coding theory
• Algorithms for elliptic curve cryptography

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Thesis' topics

Contact us in case you are interested in writing a Bachelor/Master/Diploma thesis on one of the following topics

• Precise complexity of decoding random linear codes. Some coding skills will be required.
• Practical speed-up for sieving algorithms for ideal lattices (NTRU, RingLWE)
• Attacks on lattice based cryptosystems
• Analysis of some crypto-safe elliptic curves

Click here for the detailed list of topics.