Difference between revisions of "MAT 5143"
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''Contents'' | ''Contents'' | ||
Topics may include: (1) Introduction to post-quantum cryptography, (2) Quantum computing, (3) Hash-based Digital Signature Schemes, (4) Code-based cryptography, (5) Lattice-based Cryptography, (6) Multivariate Public Key Cryptography, and (7) Homomorphic encryption. | Topics may include: (1) Introduction to post-quantum cryptography, (2) Quantum computing, (3) Hash-based Digital Signature Schemes, (4) Code-based cryptography, (5) Lattice-based Cryptography, (6) Multivariate Public Key Cryptography, and (7) Homomorphic encryption. | ||
| + | MAT 5143 Cryptography II (post-quantum cryptography). | ||
| + | |||
| + | '''Sample textbook''': | ||
| + | |||
| + | [1] Daniel Bernstein, Johannes Buchmann, Erik Dahmen, ''Post-Quantum Cryptography'', Springer, 2010. | ||
| + | |||
| + | '''Catalog entry''' | ||
| + | |||
| + | ''Prerequisite'': Algebra and Number Systems (MAT 1313), or Discrete Mathematical Structures (CS 2233/2231), or instructor consent. | ||
| + | |||
| + | ''Contents'': | ||
| + | (1) Introduction to post-quantum cryptography. | ||
| + | (2) Quantum computing. | ||
| + | (3) Hash-based Digital Signature Schemes. | ||
| + | (4) Code-based cryptography. | ||
| + | (5) Lattice-based Cryptography | ||
| + | (6) Multivariate Public Key Cryptography. | ||
| + | (7) Homomorphic encryption. | ||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
| + | |||
| + | ==Topics List== | ||
| + | {| class="wikitable sortable" | ||
| + | ! Week !! Topic !! Chapter 1 from the Bernstein-Johannes Buchmann-Dahmen book !! MAT1313, or CS2233/2231, or instructor consent. | ||
| + | |- | ||
| + | | 1-3 | ||
| + | || [[Introduction to post-quantum cryptography]] | ||
| + | || 1 | ||
| + | || MAT1313 or CS2233/2231, or equivalent. | ||
| + | |- | ||
| + | | 2-4 | ||
| + | || [[Quantum computing]] | ||
| + | || 2 | ||
| + | || | ||
| + | |- | ||
| + | | 5-6 | ||
| + | || [[Hash-based Digital Signature Schemes]] | ||
| + | || 3 | ||
| + | || | ||
| + | |- | ||
| + | | 7-8 | ||
| + | || [[Code-based cryptography]] | ||
| + | || 4 | ||
| + | || | ||
| + | |- | ||
| + | | 9-10 | ||
| + | || [[Lattice-based Cryptography]] | ||
| + | || 5 | ||
| + | || | ||
| + | |- | ||
| + | | 11-12 | ||
| + | || [[Multivariate Public Key Cryptography]] | ||
| + | || 6 | ||
| + | || | ||
| + | |- | ||
| + | | 13-end | ||
| + | || [[Homomorphic encryption]] | ||
| + | || | ||
| + | || | ||
| + | |} | ||
Latest revision as of 11:38, 30 August 2025
Catalog entry
Prerequisite: Prerequisite: MAT 1313, or CS 2233 and CS 2231, , or instructor consent.
Contents Topics may include: (1) Introduction to post-quantum cryptography, (2) Quantum computing, (3) Hash-based Digital Signature Schemes, (4) Code-based cryptography, (5) Lattice-based Cryptography, (6) Multivariate Public Key Cryptography, and (7) Homomorphic encryption. MAT 5143 Cryptography II (post-quantum cryptography).
Sample textbook:
[1] Daniel Bernstein, Johannes Buchmann, Erik Dahmen, Post-Quantum Cryptography, Springer, 2010.
Catalog entry
Prerequisite: Algebra and Number Systems (MAT 1313), or Discrete Mathematical Structures (CS 2233/2231), or instructor consent.
Contents: (1) Introduction to post-quantum cryptography. (2) Quantum computing. (3) Hash-based Digital Signature Schemes. (4) Code-based cryptography. (5) Lattice-based Cryptography (6) Multivariate Public Key Cryptography. (7) Homomorphic encryption.
Topics List
| Week | Topic | Chapter 1 from the Bernstein-Johannes Buchmann-Dahmen book | MAT1313, or CS2233/2231, or instructor consent. |
|---|---|---|---|
| 1-3 | Introduction to post-quantum cryptography | 1 | MAT1313 or CS2233/2231, or equivalent. |
| 2-4 | Quantum computing | 2 | |
| 5-6 | Hash-based Digital Signature Schemes | 3 | |
| 7-8 | Code-based cryptography | 4 | |
| 9-10 | Lattice-based Cryptography | 5 | |
| 11-12 | Multivariate Public Key Cryptography | 6 | |
| 13-end | Homomorphic encryption |
