On zeta functions of some linear codes

This paper is about weight distribution of a code and zeta polynomials. Some computations and examples were provided to illustrate the zeta polynomial and the weight enumerator of some binary linear codes. Moreover, a program was used to show the zeta polynomial and weight enumerator of some Hamming...

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Main Authors: Genil, Vincent, Ramiro, Dave
Format: text
Language:English
Published: Animo Repository 2007
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Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/17474
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_bachelors-179872022-02-07T00:59:10Z On zeta functions of some linear codes Genil, Vincent Ramiro, Dave This paper is about weight distribution of a code and zeta polynomials. Some computations and examples were provided to illustrate the zeta polynomial and the weight enumerator of some binary linear codes. Moreover, a program was used to show the zeta polynomial and weight enumerator of some Hamming codes, Reed-Muller Codes, Golay Codes and Extended Golay Codes. A theorem was used to further discuss and relate weight enumerators of a binary code and its dual code. Fundamental terms and concepts on codes and linear algebra were included to make it easy for the readers to understand coding theory. 2007-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/17474 Bachelor's Theses English Animo Repository Functions, Zeta Coding theory
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Functions, Zeta
Coding theory
spellingShingle Functions, Zeta
Coding theory
Genil, Vincent
Ramiro, Dave
On zeta functions of some linear codes
description This paper is about weight distribution of a code and zeta polynomials. Some computations and examples were provided to illustrate the zeta polynomial and the weight enumerator of some binary linear codes. Moreover, a program was used to show the zeta polynomial and weight enumerator of some Hamming codes, Reed-Muller Codes, Golay Codes and Extended Golay Codes. A theorem was used to further discuss and relate weight enumerators of a binary code and its dual code. Fundamental terms and concepts on codes and linear algebra were included to make it easy for the readers to understand coding theory.
format text
author Genil, Vincent
Ramiro, Dave
author_facet Genil, Vincent
Ramiro, Dave
author_sort Genil, Vincent
title On zeta functions of some linear codes
title_short On zeta functions of some linear codes
title_full On zeta functions of some linear codes
title_fullStr On zeta functions of some linear codes
title_full_unstemmed On zeta functions of some linear codes
title_sort on zeta functions of some linear codes
publisher Animo Repository
publishDate 2007
url https://animorepository.dlsu.edu.ph/etd_bachelors/17474
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