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Module 1
Week 1. This week's topic is an overview of what cryptography is about as well as our first example ciphers. You will learn about pseudo-randomness and how to use it for encryption. We will also look at a few basic definitions of secure encryption.
阅读: Lecture slides for all six weeks

阅读: Course overview and additional reading resources

课程视频: Course Overview

课程视频: What is Cryptography?

课程视频: History of Cryptography

课程视频: Discrete Probability (Crash Course)

课程视频: Discrete Probability (Crash Course, Cont.)

课程视频: Information Theoretic Security and The One Time Pad

课程视频: Stream Ciphers and Pseudo Random Generators

课程视频: Attacks on Stream Ciphers and The One Time Pad

课程视频: Real-World Stream Ciphers

课程视频: PRG Security Definitions

课程视频: Semantic Security

课程视频: Stream Ciphers are Semantically Secure [optional]

测验: Week 1 - Problem Set

测验: Week 1 - Programming Assignment [optional]

Module 1
Week 2. We introduce a new primitive called a block cipher that will let us build more powerful forms of encryption. We will look at a few classic block-cipher constructions (AES and 3DES) and see how to use them for encryption. Block ciphers are the work horse of cryptography and have many applications. Next week we will see how to use block ciphers to provide data integrity. The optional programming assignment this week asks students to build an encryption/decryption system using AES.
课程视频: What are Block Ciphers?

课程视频: The Data Encryption Standard

课程视频: Exhaustive Search Attacks

课程视频: More Attacks on Block Ciphers

课程视频: The AES Block Cipher

课程视频: Block Ciphers From PRGs

课程视频: Review: PRPs and PRFs

课程视频: Modes of Operation: One Time Key

课程视频: Security for Many-Time Key (CPA security)

课程视频: Modes of Operation: Many Time Key (CBC)

课程视频: Modes of Operation: Many Time Key (CTR)

测验: Week 2 - Problem Set

测验: Week 2 - Programming Assignment [Optional]

Module 1
Week 3. This week's topic is data integrity. We will discuss a number of classic constructions for MAC systems that are used to ensure data integrity. For now we only discuss how to prevent modification of non-secret data. Next week we will come back to encryption and show how to provide both confidentiality and integrity. This week's programming project shows how to authenticate large video files. Even if you don't do the project, please read the project description --- it teaches an important concept called a hash chain.
课程视频: Message Authentication Codes

课程视频: MACs Based On PRFs

课程视频: CBC-MAC and NMAC

课程视频: MAC Padding

课程视频: PMAC and the Carter-Wegman MAC

课程视频: Introduction

课程视频: Generic Birthday Attack

课程视频: The Merkle-Damgard Paradigm

课程视频: Constructing Compression Functions

课程视频: HMAC

课程视频: Timing attacks on MAC verification

测验: Week 3 - Problem Set

测验: Week 3 - Programming Assignment [Optional]

Module 1
Week 4. This week's topic is authenticated encryption: encryption methods that ensure both confidentiality and integrity. We will also discuss a few odds and ends such as how to search on encrypted data. This is our last week studying symmetric encryption. Next week we start with key management and public-key cryptography. As usual there is also an extra credit programming project. This week's project involves a bit of networking to experiment with a chosen ciphertext attack on a toy web site.
课程视频: Active Attacks on CPA-Secure Encryption

课程视频: Definitions

课程视频: Chosen Ciphertext Attacks

课程视频: Constructions From Ciphers and MACs

课程视频: Case Study: TLS 1.2

课程视频: CBC Padding Attacks

课程视频: Attacking Non-Atomic Decryption

课程视频: Key Derivation

课程视频: Deterministic Encryption

课程视频: Deterministic Encryption: SIV and Wide PRP

课程视频: Tweakable Encryption

课程视频: Format Preserving Encryption

测验: Week 4 - Problem Set

测验: Week 4 - Programming Project [Optional]

Module 1
Week 5. This week's topic is basic key exchange: how to setup a secret key between two parties. For now we only consider protocols secure against eavesdropping. This question motivates the main concepts of public key cryptography, but before we build public-key systems we need to take a brief detour and cover a few basic concepts from computational number theory. We will start with algorithms dating back to antiquity (Euclid) and work our way up to Fermat, Euler, and Legendre. We will also mention in passing a few useful concepts from 20th century math. Next week we will put our hard work from this week to good use and construct several public key encryption systems.
课程视频: Trusted 3rd Parties
课程视频: Merkle Puzzles

课程视频: The Diffie-Hellman Protocol

课程视频: Public-Key Encryption

课程视频: Notation

课程视频: Fermat and Euler

课程视频: Modular e'th Roots

阅读: More background on number theory

课程视频: Arithmetic algorithms

课程视频: Intractable Problems

测验: Week 5 - Problem Set

测验: Week 5 - Programming Assignment [Optional]

Module 1
Week 6. This week's topic is public key encryption: how to encrypt using a public key and decrypt using a secret key. Public key encryption is used for key management in encrypted file systems, in encrypted messaging systems, and for many other tasks. The videos cover two families of public key encryption systems: one based on trapdoor functions (RSA in particular) and the other based on the Diffie-Hellman protocol. We construct systems that are secure against tampering, also known as chosen ciphertext security (CCA security). There has been a ton of research on CCA security over the past decade and given the allotted time we can only summarize the main results from the last few years. The lectures contain suggestions for further readings for those interested in learning more about CCA secure public-key systems. The problem set this week involves a bit more math than usual, but should expand your understanding of public-key encryption. Please don't be shy about posting questions in the forum. This is the last week of this Crypto I course. I hope everyone learned a lot and enjoyed the material. Crypto is a beautiful topic with lots of open problems and room for further research. I look forward to seeing you in Crypto II where we will cover additional core topics and a few more advanced topics.
课程视频: Definitions and Security
课程视频: Constructions

课程视频: The RSA Trapdoor Permutation

课程视频: PKCS 1

课程视频: Is RSA a One-Way Function?

课程视频: RSA in Practice

课程视频: The ElGamal Public-key System

课程视频: ElGamal Security

课程视频: ElGamal Variants With Better Security

课程视频: A Unifying Theme

课程视频: Farewell (For Now)

测验: Week 6 - Problem Set

测验: Week 6 - Programming Assignment [Optional]

Module 1
Congratulations! We are at the end of the course. This module contains only the final exam which covers the entire course. I hope everyone learned a lot during these 6 weeks. Good luck on the final exam and I look forward to seeing you at a future course!
测验: Final Exam






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