Cyclic codes over the binary field, an exposition
Date of Publication
2002
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This paper studies the full nature of cyclic codes over the binary field. Several concepts and theories about coding theory are introduced in order to comprehend better how cyclic codes work. Encoding and finding cyclic codes as well as the check polynomial and the idempotent of a cycle code are further discussed. Moreover, a preliminary review on groups, rings, fields, vector space, and matrices are essential to refresh the knowledge of the reader in linear and abstract algebra. A number of examples per topic are thoroughly discussed to give the reader an apparent idea on the complex matters involved in cyclic codes. Several Mathematics notebooks are programmed in order to picture some of the examples involved in the study. It is at least anticipated that this paper would be of big help to other researchers willing to partake a study in coding theory.
Abstract Format
html
Language
English
Format
Accession Number
TU10903
Shelf Location
Archives, The Learning Commons, 12F Henry Sy Sr. Hall
Physical Description
85 numb. leaves
Recommended Citation
Francisco, G. S. (2002). Cyclic codes over the binary field, an exposition. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17201
