Content／学習内容

• Week1 : Basic Tools of Modern Cryptography

  • 1-1. Introduction
  • 1-2. One-way function 1: Prime factorization problem
  • 1-3. One-way function 2: RSA problem
  • 1-4. One-way function 3: Discrete logarithm problem
  • 1-5. Hash function and Pseudorandom Number Generator
  • 1-6. Diffie-Hellman key exchange
  • 1-7. ElGamal Cryptosystem
  • 1-8. RSA Cryptosystem
  • 1-9. RSA signature scheme
• Week2 : Functions Achievable with Basic Tools

  • 2-1. Introduction
  • 2-2. Digital Signature 1 - Basic Signature Method
  • 2-3. Digital Signature 2 - Group Signature and Blind Signature
  • 2-4. Secret Sharing - Mechanism and Typical Methods
  • 2-5. Secret Computation - Homomorphic Encryption and Its Applications
  • 2-6. Zero-Knowledge Proof 1 - Intuitive Explanation of Basic Functions
  • 2-7. Zero-Knowledge Proof 2 - Somewhat Formal Explanation
  • 2-8. Zero-Knowledge Proof 3 - Specific Example of Proof
  • 2-9. Zero-Knowledge Proof 4 - Limits of Proof
• Week3 : Cryptography and Modern Societal Systems

  • 3-1. Introduction
  • 3-2. Internet −IPSec, TLS
  • 3-3. Public Key Infrastructure −PKI
  • 3-4. Electronic Money−Transportation IC Card etc.
  • 3-5. Blockchain１ −The Big Picture and Crypto Asset
  • 3-6. Blockchain２ −Working Principle and Operating Mechanism
  • 3-7. Blockchain３ −Use Case：NFT
  • 3-8. Blockchain４ −Use Case：Smart Contract
  • 3-9. Blockchain５ −Hopes and Issues as Social Infrastructure
• Week4 : New Cryptography in the Quantum Computer Era

  • 4-1. Introduction
  • 4-2. Classical and Quantum Computers – Basic Differences
  • 4-3. Shore’s Algorithm – Solution to the Prime Factorization Problem
  • 4-4. Candidates for Post-Quantum Cryptography – Classification by Relying Problems
  • 4-5. Lattice Problems 1 – The Shortest Vector Problem
  • 4-6. Lattice Problems 2 – The Learning with Errors Problem
  • 4-7. Lattice Cryptography 1– Standardization Trends by the U.S. National Institute of Standards and Technology　
  • 4-8. Lattice Cryptography 2 – Overview of Standard Candidate Schemes
  • 4-9. Future Outlook – Conclusion

Staff／スタッフ

• 
  • Teacher

  Hiroki Shizuya

  Tohoku University Institute for Excellence in Higher Education

  President-Appointed Extraordinary Professor
• 
  • Teacher

  Masao Sakai

  Tohoku University Center for Data-driven Science and Artificial Intelligence

  Associate Professor
• 
  • Teacher

  Shuji Isobe

  Tohoku University Center for Data-driven Science and Artificial Intelligence

  Associate Professor
• 
  • Teacher

  Eisuke Koizumi

  Tohoku University Center for Data-driven Science and Artificial Intelligence

  Assistant Professor
• 
  • Teacher

  Shingo Hasegawa

  Fukushima University Faculty of Symbiotic Systems Science

  Professor

Contact／お問合せ先

Center for the Advancement of Open Online Education, Tohoku University

Email: secretary.mooc@grp.tohoku.ac.jp

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