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Apr 20, 2024
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MATH 6232 - Coding Theory II This course surveys various approaches to the structure theory of convolutional codes. They are considered as vector spaces over fields of Laurent expansions, as modules over rings of polynomials and as graph codes. All necessary algebraic background beyond linear algebra is presented in the class, including concepts related to modules over principal ideal domains and ideas regarding trellises and other relevant types of graphs. The course also addresses topics on algebraic coding theory over ring alphabets.
Requisites: MATH 6231 Credit Hours: 4 Repeat/Retake Information: May not be retaken. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: - After completing both Coding Theory I and II students will acquire a panoramic background of the various aspects of the theory of Error-Correcting Codes and their Applications.
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