On some decoding processes (Reed-Muller and Golay Codes)
Date of Publication
2006
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Ederlina G. Nocon
Defense Panel Member
Severino V. Gervacio
Severino D. Diesto
Jose Tristan F. Reyes
Abstract/Summary
This paper is an exposition about Reed-Muller Codes, Golay Codes, extended Golay Codes and some decoding algorithms of the said codes. Properties of the said codes as well as some special cases of decoding theses codes are further discussed. Several basic concepts in coding theory are included in order to help the readers comprehend how a coding system works. Moreover, a review on linear algebra and field theory was done to refresh the knowledge of the readers. Examples were provided to give the readers better understanding to see how decoding of Reed-Muller Codes, Golay Codes and Extended Golay Codes work.
Abstract Format
html
Language
English
Format
Accession Number
TU13514
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
1 v. (various foliations) : ill.
Keywords
Algorithms; Coding theory; Error-correcting codes (Information theory); Algebra, Linear; Field theory (Physics)
Recommended Citation
Arcilla, D. B., & Chua, M. V. (2006). On some decoding processes (Reed-Muller and Golay Codes). Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17424
