Difference between revisions of "MAT5183"
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''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. | Vector space codes, introduction to rings, ring codes, introduction to algebraic geometry, algebraic geometry codes. | ||
Revision as of 14:19, 19 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 |
