Block cipher

Pre-modern cryptography

Pseudorandom Generator (PRG)

Pseudorandom Permutation (PRP)

Message integrity

Commitment schemes

RSA (cryptosystem)

Message authentication code (MAC)

Definitions in cryptography

Computational assumptions

Number-theoretic constructions of symmetric primitives

Trapdoor permutations

Randomized encryption

Constructing PRGs

Modes of operation

Authenticated encryption

Relationships between symmetric primitives

Digital signature

Information-theoretic security

Chosen Plaintext Attacks (CPA)

Constructing block ciphers

Identification protocols

Diffie-Hellman key exchange

Chosen Ciphertext Attacks (CCA) security

Public-key cryptography

Stream ciphers

Pseudorandom Function (PRF)

Attacks on block ciphers

Collision-resistant hashing

COS 433 - Cryptography Princeton University Fall 2020 An introductory course into modern cryptography, grounded in rigorous mathematical definitions. Covers topics such as secret key and public key encryption, pseudorandom generators, and zero-knowledge proofs. Requires a basic understanding of probability theory and complexity theory, and entails some programming for course projects.  Cryptography is an ancient practice dating back almost 4000 years. However, cryptography practiced today is very different than the cryptography used as recently as a few decades ago. For one, traditional cryptography was mostly synonymous with encryption: translating data into secret codes. Today, however, cryptography extends far beyond basic codes to encompass concepts such as authentication and integrity, and can be used to solve seemingly impossible tasks such as public key encryption (exchanging secret messages without ever having met in person to share a secret key) and zero knowledge proofs (proving theorems without revealing the proof).

Another new feature in modern cryptography is its foundations. Until recently, cryptography was largely an art form based on intuition and ad hoc tweaks to block vulnerabilities. Modern crytpography is instead more of a science, characterized by rigorous mathematical definitions and theorems that guide the design of new systems.

This course is an introduction to modern cryptography, focusing on the theoretical foundations, with some attention to practical considerations. We will cover a variety of topics, including secret key and public key encryption, authentication, commitments, pseudorandom generators, and zero knowledge proofs.  Basic probability theory. Basic complexity theory (as in COS340) recommended. The course projects will involve programming, but no specific programming language is required. 

COS 433 - Cryptography

Computer Security and Cryptography

Advanced Encryption Standard (AES)

Cipher Block Chaining (CBC)

Merkle-Damgard construction

Active attacks

Discrete logarithm assumption

SecurID

Post-quantum digital signatures

End-to-end encryption

Symmetric-key encryption

PMAC

Hash-based Message Authentication Code (HMAC)

Trapdoor function

Certificate Transparency

One-time passwords

Secure Socket Layer (SSL)

Shor's algorithm

Semantic security

Pseudo Random Functions (PRF)

CBC-MAC

Secure Hash Algorithm (SHA)

Finite cyclic groups

Certificates

Salts

Authenticated key exchange

Grover's algorithm

Cipher

One time pad

Iterated Even-Mansour ciphers

Counter mode

Computational Diffie-Hellman (CDH) assumption

RSA trapdoor permutation

Certificate revocation

S/Key

Transport Layer Security (TLS)

Post-quantum cryptography

Perfect secrecy

Pseudo Random Permutations (PRP)

Davies-Meyer construction

Arithmetic modulo primes

ElGamal public key encryption

Hash-based signatures

Password protocols

Challenge-response authentication

Zero-knowledge proof

Post-quantum key exchange

CS 255: Introduction to Cryptography Stanford University Winter 2023 This course offers an introduction to cryptographic techniques used in computer security, covering encryption, message integrity, digital signatures, key management, and more. It is suitable for advanced undergraduates and masters students with some proof techniques and programming experience. Cryptography is an indispensable tool for protecting information in computer systems. This course explains the inner workings of cryptographic primitives and how to use them correctly.

This course is an introduction to the basic theory and practice of cryptographic techniques used in computer security. We will cover topics such as encryption (secret-key and public-key), message integrity, digital signatures, user authentication, key management, cryptographic hashing, Network security protocols (SSL, IPsec), public-key infrastructure, digital rights management, and a bit of zero-knowledge protocols.

Optional readings can be found in the textbooks denoted by KL and AC in the syllabus below. The optional AC book, by Boneh and Shoup, is more advanced (and free) and is intended for students wishing to go deeper. The [online version of the course](https://crypto.stanford.edu/~dabo/courses/OnlineCrypto/) is another resource for the material covered in class.

- **Boneh-Shoup (AC):** (free) *[A Graduate Course in Applied Cryptography](https://cryptobook.us) (V 0.5)* by D. Boneh and V. Shoup
- **KL:** *[Introduction to Modern Cryptography](http://www.cs.umd.edu/~jkatz/imc.html)* (2nd edition) by J. Katz and Y. Lindell.  The course is self contained, however a basic understanding of probability theory and modular arithmetic will be helpful. The course is intended for advanced undergraduates and masters students. Students are expected to have experience with basic proof techniques and some programming experience. Students can supplement the lectures with an [online version of the course](https://www.coursera.org/learn/crypto) (MOOC) that covers some of the material.

The following books can be used to supplement the lectures:

- Optional: *[A Graduate Course in Applied Cryptography](https://cryptobook.us)* by D. Boneh and V. Shoup. (free)
- Optional: *[Introduction to Modern Cryptography](http://www.cs.umd.edu/~jkatz/imc.html)* by J. Katz and Y. Lindell.

Note that the textbooks do not cover all the material discussed in class.

CS 255: Introduction to Cryptography

Web Technologies

Web Protocols

Cross-Site Request Forgery (CSRF)

Firewalls

Denial-of-service attack (DoS attack)

Transport Protocols

Operating System Security

Physical Security

Passwords

OS Isolation

Malware

Authorization

Cloud Security

Accounting

Storage Encryption

Web Security Model

Networks

Security Principles

Session Management

Symmetric-key Cryptography

Same-Origin Policy

One-time pad

Hash functions

SQL Injection

Scanning

Cross-Site Scripting (XSS)

Authentication

OS Privileges

Browser Security

DNS (Domain Name System)

CS1660: Computer Systems Security Brown University Spring 2022 CS1660 delivers a balanced mix of theory and practice in computer systems security. Starting with the foundational aspects of cryptography, the course navigates through security aspects of web applications, operating systems, and networks. Students will hone their "security mindset," learning to identify vulnerabilities and understand defenses across different domains. CS1660 (formerly called CS166) is a course on **computer systems security** through a balanced mixture of theory and practice.

We’ll start out with building the foundations of security through an exploration of **cryptography**. From there, we’ll move to more complex, multi-faceted systems such as **web applications**, **operating systems**, and **networks**. Along the way, we’ll explore complementary topics such as authentication, physical security, social engineering, privacy, anonymity, usability, and the security of emergent systems such as blockchains and machine learning.

By learning about security through these multiple domains, you’ll concretely learn how various classes of attacks appear in a vast variety of scenarios and how they work in practice. You’ll also learn how to evaluate systems adversarially, from writing precise security analyses about subtle issues in protocols to discovering and exploiting vulnerabilities in concrete technical systems for yourself.

Through all of these activities, you’ll ultimately work to develop a specific kind of intuition—a ***“security mindset”***—that will give you the knowledge, vocabulary, and confidence to critically analyze and effectively defend the software and systems you approach as a computer scientist even after the course. - Provide an introduction to computer security
    - Overview security threats and defenses
- Help you develop a security-aware mindset:
    - Take the big picture and understand the details
- Learning by practicing
    - Consider ethical implications and tradeoffs of using, building, and testing secure systems You should have an intro-sequence’s worth of programming experience ([0160](https://cs.brown.edu/courses/info/csci0160/), [0180](https://cs.brown.edu/courses/info/csci0180/), or [0190](https://cs.brown.edu/courses/info/csci0190/)) and have a good understanding of systems programming ([0300](https://cs.brown.edu/courses/info/csci0300/), [0330](https://cs.brown.edu/courses/info/csci0330/), [1310](https://cs.brown.edu/courses/info/csci1310/), or [1330](https://cs.brown.edu/courses/info/csci1330/)). This concretely means that:

- You should be comfortable writing programs and scripts in the language of your choice (such as Python, Ruby, Bash, Go, C++, etc.), be comfortable in a Unix command-line environment (running binaries, filesystem navigation, etc.) and using SSH with the Brown CS filesystem, have a basic understanding of systems programming concepts such as memory management and networking.
- You also should have heard of the terms “race condition”, “packet”, “TCP”, “UDP”, “buffer overflows”, and “DNS”. (If you forget what these are, don’t worry—we’ll describe them again when they come up in the latter half of the course.)
- You should also be at least somewhat comfortable (and very willing) to learn new programming languages and reading code in languages and programs that you’ve never used before. (You’ll get lots of practice with this in this course!)
 
*If you don’t meet the official prerequisites* but still want to take the course, please feel free to ask the instructors–we are happy to discuss your individual situation to determine if the course is right for you!

Your willingness to challenge yourself is perhaps the most important prerequsite for the course. Security can be frustrating at times, but the rewards are great. In exchange for engaging with some difficult intellectual challenges, you’ll have the opportunity to gain concrete insights about systems and security and become a better computer scientist along the way! 

CS1660: Computer Systems Security

Cryptography

DSA signature schemes

Pseudorandom generator (PRG)

Password-based authentication

Sigma protocol

Succinct Non-Interactive Arguments (SNARGs)

GMW: MPC for any function

Fully homomorphic encryption

Private information retrieval

Hardware security module (HSM)

Differential privacy

Shannon's Theorem

Collision-resistant hash functions

Pseudorandom function/permutation (PRF/PRP)

Secure shell protocol (SSH)

Two-factor authentication

Diffie-Hellman tuple

Non-interactive zero-knowledge (NIZK) proof

Secure multi-party computation (MPC)

Malicious security: GMW compiler

Somewhat homomorphic encryption over integers

Bootstrapping SWHE to FHE

Cryptography in blockchain

Privacy in machine learning

Computational security

Birthday attack

HKDF

Secure authentication

Proof of knowledge

Fiat-Shamir heuristic

Garbled circuit

Cut-and-choose for garbled circuits

GSW: SWHE from LWE

Secure deployment of MPC applications

Random oracle model

Hash-and-Sign paradigm

Public key infrastructure (PKI)

Single Sign-On (SSO) authentication

Schnorr's identification protocol

Anonymous online voting

Oblivious transfer (OT)

Private set intersection

BFV: SWHE from RLWE

Secure hardware: secure enclaves (Intel SGX)

Blockchain

 CSCI 1515 Applied Cryptography Brown University Spring 2023 Applied Cryptography at Brown University offers a practical take on securing systems. By learning foundational cryptographic algorithms and advanced topics like zero-knowledge proofs and post-quantum cryptography, students gain both theoretical insights and hands-on experience in implementing cryptosystems using C++ and crypto libraries. Label: State-of-art concepts. ### Welcome to Applied Cryptography (CSCI 1515) at Brown!

This course teaches cryptography from a practical perspective and provides hands-on experience in building secure systems.

We first introduce foundational cryptographic algorithms including secret-key and public-key encryption schemes, message authentication codes, digital signatures, and hash functions, from which you will build secure communication and authentication systems.

More advanced topics that are covered include zero-knowledge proofs, secure multi-party computation, fully homomorphic encryption, post-quantum cryptography, and differential privacy. You will learn how these cryptographic techniques can be used to develop more advanced applications such as secure online anonymous voting, secure computation, and private information retrieval.

Besides the high-level design of these cryptosystems, you will also get hands-on experience implementing them using tools from the existing crypto libraries written in C++.    ## Textbooks

- [MOV] [Handbook of Applied Cryptography](https://cacr.uwaterloo.ca/hac/) by Alfred J. Menezes, Paul C. van Oorschot, and Scott A. Vanstone
- [BS] [A Graduate Course in Applied Cryptography](http://toc.cryptobook.us/book.pdf) by Dan Boneh and Victor Shoup
- [KL] [Introduction to Cryptography](https://eclass.uniwa.gr/modules/document/file.php/CSCYB105/Reading%20Material/%5BJonathan_Katz%2C_Yehuda_Lindell%5D_Introduction_to_Mo%282nd%29.pdf) by Jonathan Katz and Yehuda Lindell
- [R] [The Joy of Cryptography](https://joyofcryptography.com/pdf/book.pdf) by Mike Rosulek

 CSCI 1515 Applied Cryptography

Block cipher

4 courses cover this concept

COS 433 - Cryptography

CS 255: Introduction to Cryptography

CS1660: Computer Systems Security

CSCI 1515 Applied Cryptography