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| − | + | 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== | ||
| + | {| class="wikitable sortable" | ||
| + | ! 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 | ||
| + | || | ||
| + | |} | ||
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 |
