Difference between revisions of "MAT 5143"

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

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
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