Foundations of Cryptography

Foundations of Cryptography

@VTU COE

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What you will learn

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The course provides the basic paradigm and principles of modern cryptography. The focus of this course will be on definitions and constructions of various cryptographic objects. We will try to understand what security properties are desirable in such objects, how to formally define these properties, and how to design objects that satisfy the definitions. The aim is that at the end of this course, the students are able to understand a significant portion of current cryptography research papers and standards.

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Introduction
Preview 28:37
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Symmetric-key Encryption
Preview 46:35
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Historical Ciphers and their Cryptanalysis
Preview 26:47
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Perfect Security
Preview 51:49
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Limitations of Perfect Security
Preview 20:47

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Introduction to Computational Security
Preview 36:12
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Semantic Security
Preview 49:55
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Pseudo-random Generators (PRGs)
Preview 30:58
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Operations on Pseudorandom Generators
Preview 30:21

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Stream Ciphers
Preview 20:09
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Provably-secure Instantiation of PRG
Preview 39:48
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Practical Instantiations of PRG
Preview 33:04
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CPA-security
Preview 35:00
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Pseudo-random Functions (PRFs)
Preview 41:50

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CPA-secure Encryption from PRF
Preview 37:15
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Modes of Operations of Block Ciphers Part I
Preview 26:47
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Modes of Operations of Block Ciphers Part II
Preview 34:58
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Theoretical Constructions of Block Ciphers
Preview 38:35
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Practical Constructions of Block Ciphers: Part I
Preview 42:32

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Practical Constructions of Block Ciphers: Part II
Preview 41:38
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From Passive to Active Adversary
Preview 36:15
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Message Integrity and Authentication
Preview 26:43
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Message Authentication for Long Messages : Part I
Preview 30:21
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Message Authentication for Long Messages : Part II
Preview 33:32

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Information-theoretic MACs : Part I
Preview 27:09
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Information-theoretic MACs : Part II
Preview 30:24
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Cryptographic Hash Functions: Part I
Preview 30:10
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Cryptographic Hash Functions: Part II
Preview 33:53
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Message Authentication Using Hash Functions
Preview 42:55

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Generic Attacks on Hash Functions and Additional Applications of Hash Functions
Preview 41:48
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Random Oracle Model: Part I
Preview 26:37
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Random Oracle Model: Part II
Preview 38:24
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Authenticated Encryption
Preview 32:13

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Composing CPA-secure Cipher with a Secure MAC: Part I
Preview 49:27
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Composing CPA-secure Cipher with a Secure MAC: Part II
Preview 33:13
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Key-Exchange Protocols: Part I
Preview 34:49
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Key-Exchange Protocols: Part II
Preview 21:22
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Cyclic groups
Preview 37:30

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Cryptographic Hardness Assumptions in the Cyclic Groups
Preview 31:50
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Candidate Cyclic Groups for Cryptographic Purposes: Part I
Preview 24:26
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Candidate Cyclic Groups for Cryptographic Purposes: Part II
Preview 27:19
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Cryptographic Applications of the Discrete Log Assumption
Preview 32:04
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Public-key Encryption
Preview 30:57

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El Gamal Public-key Encryption Scheme
Preview 36:30
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RSA Assumption
Preview 25:10
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RSA Public-key Cryptosystem
Preview 45:13
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Hybrid Public-key Cryptosystem
Preview 37:13
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CCA-Secure Public-key Ciphers
Preview 32:26

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CCA-Secure Public-key Ciphers Based on Diffie-Hellman Problems
Preview 25:41
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CCA-Secure Public-key Ciphers Based on RSA Assumption
Preview 38:50
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Digital Signatures
Preview 36:36
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RSA Signatures
Preview 19:24
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Identification Schemes
Preview 40:20

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Schnorr Signature Scheme and TLS/SSL
Preview 29:47
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Number Theory
Preview 33:34
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Secret Sharing
Preview 36:04
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Zero-Knowledge Protocols: Part I
Preview 25:46
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Zero-Knowledge Protocols: Part II
Preview 30:52
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Good Bye for Now
Preview 10:21

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Live Session 18-02-2021
Preview 30:55
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Live Session 10-03-2020
Preview 58:20
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Live Session 14-02-2022
Preview 41:25
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Live Session 19-04-2022
Preview 54:54
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Meet Your Instructor
@VTU COE
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Instructor
3.2 Rating
2542 Students
759 Courses
About Instructor

VTU is one of the largest Technological Universities in India with 24 years of Tradition of excellence in Engineering & Technical Education, Research and Innovations. It came into existence in the year 1998 to cater the needs of Indian industries for trained technical manpower with practical experience and sound theoretical knowledge.

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Free

  • Course Duration
    36 h 5 m 15 s
  • Course Level
    Intermediate
  • Student Enrolled
    0
  • Language
    English
This Course Includes
  • 36 h 5 m 15 s Video Lectures
  • 0 Quizzes
  • 0 Assignments
  • 0 Downloadable Resources
  • Full Lifetime Access
  • Certificate of Completion