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undergraduate thesis
Reed-Mullerovi kodovi
2020. urn:nbn:hr:168:535309
Taras, Sebastian
University of Zagreb
Faculty of Electrical Engineering and Computing

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Taras, S. (2020). Reed-Mullerovi kodovi (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:535309

Taras, Sebastian. "Reed-Mullerovi kodovi." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2020. https://urn.nsk.hr/urn:nbn:hr:168:535309

Taras, Sebastian. "Reed-Mullerovi kodovi." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2020. https://urn.nsk.hr/urn:nbn:hr:168:535309

Taras, S. (2020). 'Reed-Mullerovi kodovi', Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 07 December 2024, https://urn.nsk.hr/urn:nbn:hr:168:535309

Taras S. Reed-Mullerovi kodovi [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2020 [cited 2024 December 07] Available at: https://urn.nsk.hr/urn:nbn:hr:168:535309

S. Taras, "Reed-Mullerovi kodovi", Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:168:535309

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Metadata
TitleReed-Mullerovi kodovi
Title (english)Reed-Muller Codes
AuthorSebastian Taras
MentorAnamari Nakić (mentor)
Committee memberAnamari Nakić (predsjednik povjerenstva)
Committee memberLenka Mihoković (član povjerenstva)
Committee memberMario Krnić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2020-09-12, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Abstract
U ovom radu opisani su osnovni matematički postupci vezani uz Reed-Mullerove kodove s naglaskom na Reed-Mullerove kodove prvog reda. Opisan je postupak njihove konstrukcije, kodiranja i dekodiranja kodnih riječi iz perspektive teorije informacije te su dani konkretni primjeri kako bi shvaćanje tih postupaka bilo intuitivnije. Kako bi se primjena Reed-Mullerovih kodova pokazala u praksi izgrađena je aplikacija za dopisivanje kojom se poruke kodiraju Reed-Mullerovim kodom RM(1,5), zatim simulira komunikacijski kanal nasumičnom generacijom grešaka nad izmjenjivanim porukama, a primljene se poruke zatim dekodiraju kako bi se greške uklonile.
Abstract (english)
This thesis explains the mathematical foundation of Reed-Muller error correcting codes, mainly focusing on first order Reed-Muller codes. In the introduction we explain the basic motivation behind their purpose. The thesis goes on to explain, from the perspective of information theory, the process of constructing the code from chosen parameters along with the encoding and decoding processes of its codewords. Specific examples are provided to help with understanding the described processes. To demonstrate their practical use, a real time messaging application implementing the Reed-Muller code RM(1,5) to encode the messages was built. Errors are randomly generated along the sent messages and then decoded by their receiver.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:535309
Study programmeTitle: Computing
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva)
Type of resourceText
File originBorn digital
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Created on2023-01-13 16:21:32