# MAT5183

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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

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 |