[Date]:2022/12/20～2022/12/21

2022 workshop on interaction between CRyptography, Information Security and MATHematics （CRISMATH 2022）｜2022c006

Overview

• Type/Category: Openings at any time-Workshop (Ⅱ) Online
• Title of Research Project: 2022 workshop on interaction between CRyptography, Information Security and MATHematics （CRISMATH 2022）
• Principal Investigator: Toshiaki Maeno (Faculty of Science and Engineering, Meijo University/ Professor)
• Research Period： December 20, 2022. – December 21, 2022.
• Open to the Public： December 20, 2022. – December 21, 2022.
• Details of the Research Plan: https://joint1.imi.kyushu-u.ac.jp/en_research_chooses/view/2022c006

Program

Dec. 20(Tue)

14:00-15:30

Motoko Kato (Faculty of Education, University of the Ryukyus)
Richard Thompson’s groups and their applications

Abstract ： Thompson’s groups are infinite noncommutative groups which were discovered by Richard Thompson in 1960s. There are three types of Thompson’s groups, F, T and V, each of which is defined as a group consisting of homeomorphisms of the unit interval, the unit circle and the Cantor space, respectively. These groups appear naturally in various areas of mathematics, and are known to have many unusual properties. In this talk, I introduce these groups from the viewpoint of geometric group theory, and talk on some attempts to apply these groups to public key cryptography.

15:40-17:10

Tetsuya NAGANO (Department of Information Systems, University of Nagasaki)
Finsler Encryption

Abstract ： In this talk, a public key encryption scheme that depends on the asymmetric property of Finsler geometry is discussed, the idea of which was firstly introduced at CSS2019. After a brief look at the geometric backgrounds, the functions of encryption and decryption are captured systematically with geometric intuition and procedures. Then, improvement about encryption strength is explained. Also, a digital signature scheme that depends on the same property is mentioned.

Dec. 21(Wed)

9:30-11:00

Ishak Meraouche (Graduate School of Information Science and Electrical Engineering, Kyushu University)
Advances in Neural networks based Cryptography

Abstract ： Artificial Intelligence (AI) and cryptography have always been separate disciplines in the past. Early AI models were not able to learn the simplest and most primitive mathematical functions or operations such as the XOR operation. Due to this fact, interest in building AI models that can learn cryptographic techniques have decreased significantly until the late 90s and early 2000s where some models were introduced. However, with the advances in AI, especially with deep learning, things are starting to change. Multiple models based on Generative Adversarial Networks (GANs) have been introduced since late 2016 and have shown significant performance and security in encryption. In this talk, we will start by seeing how AI based cryptography has evolved since the early 2000s. Next, we will survey the most prominent GANs models that have been proposed in recent years and were able to learn strong cryptographic techniques. After that, we will see the security of these models and how their security can be evaluated. Lastly, we will introduce our contributions to this topic.

11:10-12:40

Yusuke Aikawa (Mitsubishi Electric)
Isogeny Graphs and Cryptography

Abstract ： Charles et al. constructed cryptographic hash functions from random walks on expander graphs. One of the graphs used there is a graph whose vertices are supersingular elliptic curves and whose edges consist of isogenies between them. Such graphs are called isogeny graphs. By generalizing this construction to Abelian varieties, recently, combinatorial and algebraic properties of isogeny graphs of superspecial Abelian varieties have been studied. In this talk, I will give an overview of these developments. I will also introduce a result (arXiv:2201.04293) on spectral gaps of isogeny graphs on superspecial Abelian varieties, obtained in ollaboration with Ryokichi Tanaka (Kyoto University)and Takuya Yamauchi (Tohoku University).

Anyone can participate in this conference for free.
Please fill out the registration form:

＼To participate in this meeting, please apply below／

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