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Zero-Knowledge Proofs and the MinRank Problem
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Task List
Task 1-1: Definition and Importance of Cryptography
Task 1-2: 456
Task 1-3: 123
Task 2: Basics of Zero-Knowledge Proofs
Task 3: Interactive Proof Systems
Task 4: Mathematical Foundations of the MinRank Problem
Task 5: Applications of MinRank in Cryptography
Task 6: NP-Completeness of MinRank
Task 7: Structure and Functionality of MRZK
Task 8: Security Properties of MRZK
Task 9: Soundness Error Analysis
Task 10: Improvements Over MRZK
Task 11: Efficiency and Proof Size Reduction
Task 12: Challenges in MRZK†
Task 13: Transition from MRZK† to MRZK♯
Task 14: Construction of MRZK♯
Task 15: Utility of Sigma Protocols
Task 16: Reducing Soundness Error
Task 17: Commitment Schemes and Their Efficiency
Task 18: Use of Merkle Trees in Protocols
Task 19: Introduction to Post-Quantum Cryptography
Task 20: ZKPoK in Post-Quantum Context
Task 21: Security Concerns and Future Directions
Task 22: Comparative Analysis of Protocols
Task 23: Benchmarking Protocol Efficiency
Task 24: Case Studies on Implementation
Task 25: Exploring New Protocols and Techniques
Task 26: Algebraic Attacks on ZKPoK
Task 27: Future of ZKPoK Research
Task 28: Project Planning and Research
Task 29: Prototype Development
Task 30: Peer Review and Feedback