2022-12-05 Seminar Report

On November 18th, Yusuke Aikawa, from Information Technology R&D Center, Mitsubishi Electric Corporation, gave a talk in Math Seminar.
In the first part of the talk, he made a general introduction to the public key cryptography and its historical development. In particular, he explained that a large-scale quantum computer can break today’s public key security systems.
In the second part, he explained the recent attempts to create public key systems which are not easily breakable by quantum computers (so called post-quantum cryptography), with an emphasis on the methods which use elliptic curves. An elliptic curve is an algebraic curve which admits a group structure, and one can form a cryptography by using this group structure. The speaker also explained his recent joint work on a generalized methods which uses abelian varieties, which are higher dimensional algebraic varieties admitting group structure.

Reported by Hiroyasu Miyazaki

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