Difference between revisions of "MAT5143"

From Department of Mathematics at UTSA
Jump to navigation Jump to search
Line 1: Line 1:
 +
Introduction to 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==
 
==Topics List==
 
{| class="wikitable sortable"
 
{| class="wikitable sortable"
! Date !! Sections !! Topics !! Prerequisite Skills !! Student Learning Outcomes
+
! Week !! Topic !! Chapter 1 from the Bernstein-Johannes Buchmann-Dahmen book !! MAT1313, or CS2233/2231, or instructor consent.
 
|-
 
|-
|Week 1
+
| 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]]
 +
||
 +
||
 +
|}

Revision as of 11:55, 22 March 2023

Introduction to 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