MAT 5143 - Revision history

Jose.iovino at 17:38, 30 August 2025

2025-08-30T17:38:22Z

Jose.iovino at 16:52, 30 August 2025

2025-08-30T16:52:28Z

Jose.iovino: 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..."

2025-08-17T23:29:51Z

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'''

''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.

← Older revision		Revision as of 17:38, 30 August 2025
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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]]
		+	\|\|
		+	\|\|
		+	\|}

← Older revision		Revision as of 16:52, 30 August 2025
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−	~~Introduction to the theory of finite-dimensional vector spaces.~~

	'''Catalog entry'''		'''Catalog entry'''