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This document summarizes a thesis on representing quasi-cyclic codes using Gröbner bases. Chapter 1 introduces modules, submodules, and Gröbner bases for submodules. Chapter 2 discusses linear and cyclic codes, and defines quasi-cyclic codes. Chapter 3 presents a Reed-Solomon decoding method using module theory. Chapter 4 considers decoding quasi-cyclic codes using their Gröbner basis representation.

Author

Navid Nouri

Language

EN