Free online courseAdvanced Topics in Cryptography
Duration of the online course: 22 hours and 34 minutes
5
(2)
Explore advanced cryptography concepts with MIT's free course on interactive proofs, protocols, and zero-knowledge proofs in Cyber Security.
In this free course, learn about
- Interactive Proofs and the Sum-Check Protocol
- Doubly Efficient Interactive Proofs and the GKR Protocol
- PCPs and Interactive Arguments
- The Kilian-Micali Protocol and Collision-Resistant Hashing
- Fiat-Shamir Paradigm and Zero-Knowledge Proofs
- Soundness of the Fiat-Shamir Paradigm
- Succinct Non-Interactive Arguments from LWE (BARGs and SNARGs)
Course Description
Delve deep into the advanced concepts of cryptography with the free online course Advanced Topics in Cryptography by MIT. This course is an invaluable resource for anyone interested in Information Technology, specifically within the Cyber Security subcategory. The comprehensive curriculum is designed to equip learners with cutting-edge knowledge and skills in cryptography.
The course begins with an exploration of Interactive Proofs and the Sum-Check Protocol, divided into two parts, offering a foundational understanding of the protocols. Moving forward, participants will engage with the nuances of Doubly Efficient Interactive Proofs, further divided into two sessions for a thorough comprehension.
Continuing the journey, you'll explore the GKR Protocol's continuation and its various corollaries, providing insights into its application and significance. The progression includes an in-depth look at PCP via GKR and interactive arguments, segmented into two parts to enhance learning and absorption of complex concepts. Further enriching the curriculum, the Kilian-Micali Protocol is discussed in two parts, shedding light on its structures and principles.
An exciting component of the course is the exploration of the Fiat-Shamir Paradigm and Zero-Knowledge Proofs, a critical area in cryptography. This section is presented in two parts, followed by an analysis of the soundness of the Fiat-Shamir Paradigm in the standard model, also split into two engaging lectures.
The latter part of the course offers intriguing insights into Succinct Non-Interactive Arguments for Batch NP (BARGs) from LWE, focusing on their practical implications. Lastly, the course concludes with a compelling discussion on how BARGs imply SNARGs and their connection to non-signaling PCPs, covering these intricate topics over two parts.
This course is ideal for professionals and enthusiasts eager to grasp advanced cryptography concepts. It promises to deliver not only theoretical knowledge but also practical insights crucial for understanding and implementing modern cryptographic techniques.
Embark on this educational journey to broaden your understanding and capabilities in the rapidly evolving field of cryptography.
Course content
- Video class: Lecture 1: Interactive Proofs and the Sum-Check Protocol, Part 1 1h31m
- Exercise: What is the topic of the advanced class presented in the transcript?
- Video class: Lecture 1: Interactive Proofs and the Sum-Check Protocol, Part 2 1h06m
- Exercise: Why is randomness essential in the verifier's role in the sum-check protocol?
- Video class: Lecture 2: Doubly Efficient Interactive Proofs, Part 1 1h53m
- Exercise: What is the Sumcheck protocol used for in the context of interactive proofs?
- Video class: Lecture 2: Doubly Efficient Interactive Proofs, Part 2 42m
- Exercise: How does the verifier's randomness affect the GKR protocol's soundness?
- Video class: Lecture 3: Continuation of the GKR Protocol and Corollaries 1h21m
- Exercise: What is the primary purpose of the GKR (Geometry Coding for Polynomial Proving)?
- Video class: Lecture 4: PCP via GKR and Interactive Arguments, Part 1 1h29m
- Exercise: What is the purpose of probabilistically checkable proofs (PCPs) as discussed in the lecture?
- Video class: Lecture 4: PCP via GKR and Interactive Arguments, Part 2 1h10m
- Exercise: What is the main purpose of using a collision-resistant hash function in the construction of succinct arguments?
- Video class: Lecture 5: The Kilian-Micali Protocol, Part 1 1h44m
- Exercise: What is the purpose of a Probabilistically Checkable Proof (PCP)?
- Video class: Lecture 5: The Kilian-Micali Protocol, Part 2 56m
- Exercise: What is the key reason this hash function is considered collision-resistant?
- Video class: Lecture 6: Fiat-Shamir Paradigm and Zero-Knowledge Proofs, Part 1 1h32m
- Video class: Lecture 6: Fiat-Shamir Paradigm and Zero-Knowledge Proofs, Part 2 1h08m
- Video class: Lecture 7: Soundness of the Fiat-Shamir Paradigm in the Standard Model, Part 1 1h33m
- Video class: Lecture 7: Soundness of the Fiat-Shamir Paradigm in the Standard Model, Part 2 1h04m
- Video class: Lecture 8: Succinct Non-Interactive Arguments for Batch NP (BARGs) from LWE, Part 1 1h21m
- Video class: Lecture 8: Succinct Non-Interactive Arguments for Batch NP (BARGs) from LWE, Part 2 1h14m
- Video class: Lecture 9: BARGs Implies SNARGs and Connection to Non-Signaling PCPs, Part 1 1h27m
- Video class: Lecture 9: BARGs Implies SNARGs and Connection to Non-Signaling PCPs, Part 2 1h14m
This free course includes:
22 hours and 34 minutes of online video course
Digital certificate of course completion (Free)
Exercises to train your knowledge
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Course comments: Advanced Topics in Cryptography
Akash
this app so amazing their lecture is so knowledgeable