Ewha Womans University Mathematics

Research Areas

Prof. Hyang-Sook Lee

Cryptography Lab

Faculty Introduction
Prof. Hyang-Sook Lee
Prof. Hyang-Sook Lee
Research Area
  • Lattice based Cryptography
  • Homomorphic Encryption
  • Isogeny based Cryptography
  • Pairing based Cryptography
Lab Introduction

As quantum computers are being developed in earnest, research on Post Quantum Cryptography which is a next generation public key cryptosystem, is being actively carried out in an environment where existing mathematical based public key cryptosystem is threatened by the quantum algorithm proposed by Peter Shor Lattice based cryptography, Isogeny based cryptography, Code based cryptography, and Multi variate based cryptography without efficient attacks based on quantum algorithms are candidates for Post Quantum Cryptography In particular, Lattice based cryptography has the advantages in the sense that it is efficient to calculate and provides a variety of applications This Lab focuses on the study of Post Quantum public key cryptography for quantum computing environments Especially, we conduct studies on Homomorphic Encryption, Secret Sharing, Security Analysis etc along with studies on Lattice based public key cryptography which is secure and efficiently applicable in multi party environments

Major research projects and Research achievements
Major research projects and Research achievements
  • The Multi Party Cryptographic Application of Lattice Based Fully Homomorphic Encryption Scheme ​
  • Computational Mathematics for Integrated Science Based Technology
  • Lattice based Public Key Cryptography for IoT
  • The Application of Computational Based Mathematical Sciences
  • One Way Function for Multi functional Cryptographic System with High Efficiency
Selected research papers
  • Efficient Lattice Gadget Decomposition Algorithm with Bounded Uniform Distribution, Sohyun Jeon, Hyang-Sook Lee and Jeongeun Park, IEEE Access, Vol. 9, pp-17429-17437, 2021
  • Storage efficient algorithm for Hermite Normal Form using LLL, Gook Hwa Cho, Hyang-Sook Lee, Seongan Lim and Yoonjeong Kim, Linear Algebra and its Applications, Vol. 613, pp. 183-200, 2021
  • Algorithms for the Generalized NTRU Equations and Their Storage Analysis, Gook Hwa Cho, Hyang-Sook Lee, and Seongan Lim, Fundamenta Informaticae, Vol. 17, No. 2, pp.115-139, 2020
  • New orthogonality criterion for shortest vector of lattices and its applications, Hyang-Sook Lee, Seongan Lim, Kyunghwan Song, Ikkwon Yie, Discrete Applied Mathematics, Vol. 283, pp. 323-335, 2020
  • On the Security of Multikey Homomorphic Encryption, Jeongeun Park, Hyang-Sook Lee, Cryptography and Coding, Lecture Notes in Computer Sciences, 11929, pp. 236-251, 2019
  • Towards Round-Optimal Secure Multiparty Computations: Multikey FHE without a CRS, (Conference Proceedings Version) ACISP 2018, Eunkyung Kim, Hyang-Sook Lee and Jeongeun Park, Lecture Notes in Computer Science, Vol. 10946, 2018
Graduate Students
  • Ji-Hye Kwon Integrated Ph.D student
    Research Area: Lattice based Cryptography, Secret sharing, Homomorphic Encryption
  • Jae-Seon Kim Ph. D student
    Research Area: Lattice based Cryptography, Safety Analysis, Homomorphic Encryption
  • Sohyun Jeon Ph. D student
    Research Area: Lattice based Cryptography, Digital signature, Homomorphic Encryption
  • Young-Seo Kim Master's student
    Research Area: Lattice based Cryptography
  • Hye-In Park Master's student
    Research Area: Lattice based Cryptography
  • Sieun Seo Integrated Ph.D student
    Research Area: Cryptography
  • Hyewon Sung Integrated Ph.D student
    Research Area: Cryptography
  • Yujin Lee Master's student
    Research Area: Cryptography