Homomorphic Encryption and Secure Computing
( 25 Modules )

Module #1
Introduction to Secure Computing
Overview of secure computing, importance, and applications

Module #2
Homomorphic Encryption Fundamentals
Definition, types, and properties of homomorphic encryption

Module #3
Fully Homomorphic Encryption (FHE)
Definition, construction, and limitations of FHE schemes

Module #4
Partially Homomorphic Encryption (PHE)
Definition, construction, and applications of PHE schemes

Module #5
Somewhat Homomorphic Encryption (SHE)
Definition, construction, and applications of SHE schemes

Module #6
Lattice-Based Cryptography
Introduction to lattices, LWE, and Ring-LWE problems

Module #7
Gentrys FHE Scheme
Construction and implementation of Gentrys FHE scheme

Module #8
Bootstrapping and FHE
Bootstrapping technique, its importance, and applications in FHE

Module #9
Secure Multi-Party Computation (SMPC)
Introduction to SMPC, its importance, and applications

Module #10
Garbled Circuits
Construction and applications of garbled circuits in SMPC

Module #11
Oblivious Transfer
Definition, construction, and applications of oblivious transfer

Module #12
Secure Outsourcing
Secure outsourcing of computations, its importance, and applications

Module #13
Homomorphic Encryption for Machine Learning
Applications of homomorphic encryption in machine learning

Module #14
Secure Data Aggregation
Applications of homomorphic encryption in secure data aggregation

Module #15
Private Information Retrieval (PIR)
Definition, construction, and applications of PIR

Module #16
Implementation and Optimization
Implementation and optimization techniques for homomorphic encryption schemes

Module #17
Security Analysis and Attacks
Security analysis and known attacks on homomorphic encryption schemes

Module #18
Privacy-Preserving Data Analysis
Applications of homomorphic encryption in privacy-preserving data analysis

Module #19
Secure Cloud Computing
Applications of homomorphic encryption in secure cloud computing

Module #20
Case Studies and Applications
Real-world case studies and applications of homomorphic encryption

Module #21
Standards and Regulations
Standards and regulations related to homomorphic encryption and secure computing

Module #22
Challenges and Future Directions
Challenges, open problems, and future directions in homomorphic encryption and secure computing

Module #23
Hands-on Lab:Homomorphic Encryption
Practical exercise implementing a homomorphic encryption scheme

Module #24
Hands-on Lab:Secure Multi-Party Computation
Practical exercise implementing a SMPC protocol

Module #25
Course Wrap-Up & Conclusion
Planning next steps in Homomorphic Encryption and Secure Computing career

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