Difference between revisions of "MAT5183"

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==vCatalog entryv==
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== Catalog entry ==
  
 
''Prerequisite'': Algebra and Number Systems (MAT 1313), or Discrete Mathematical Structures (CS 2233/2231), or instructor consent.
 
''Prerequisite'': Algebra and Number Systems (MAT 1313), or Discrete Mathematical Structures (CS 2233/2231), or instructor consent.
  
 
''Contents'':
 
''Contents'':
Vector space codes, introduction to rings, ring codes, introduction to algebraic geometry, algebraic geometry codes.  
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Vector space codes, introduction to rings, ring codes, introduction to algebraic geometry, algebraic geometry codes.
 
 
 
 
 
 
 
 
 
 
 
 
  
 
==Topics List==
 
==Topics List==

Latest revision as of 22:03, 25 March 2023

Introduction to algebraic codes.

Sample textbook

[1] Tzuong-Tsien Moh, Introduction to Algebraic Codes, 2008. Freely available to UTSA students.



Catalog entry

Prerequisite: Algebra and Number Systems (MAT 1313), or Discrete Mathematical Structures (CS 2233/2231), or instructor consent.

Contents: Vector space codes, introduction to rings, ring codes, introduction to algebraic geometry, algebraic geometry codes.

Topics List

Week Topic Sections from Moh's book Prerequisite
1-2 Vector space codes 1 MAT1313, CS2233/2231, or instructor consent.
3-4 Introduction to ring theory 2
5-6 Ring codes 3
7-8 Introduction to algebraic geometry 4
9-10 Algebraic curve Goppa codes 5
11-13 Decoding the geometric Goppa codes 6