On some decoding processes (Reed-Muller and Golay Codes)

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 or...

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Bibliographic Details
Main Authors: Arcilla, Donna Mae B., Chua, Marc Chester V.
Format: text
Language:English
Published: Animo Repository 2006
Subjects:
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/17424
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Institution: De La Salle University
Language: English
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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.