On greedy codes

One of the special type of Lexicographic code is called the Greedy code (C) wherein all possible vectors in the eld Fn 2 where taken, starting from the zero vector up to the last vector in Fn 2 . This greedy codes are linear with dimension n {u100000} m where m is the index of the B-order of Fn 2 ....

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Main Author: Bumanglag, Oscar M., Jr.
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Language:English
Published: Animo Repository 2015
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Online Access:https://animorepository.dlsu.edu.ph/etd_masteral/5134
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Institution: De La Salle University
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spelling oai:animorepository.dlsu.edu.ph:etd_masteral-119722021-02-05T14:05:10Z On greedy codes Bumanglag, Oscar M., Jr. One of the special type of Lexicographic code is called the Greedy code (C) wherein all possible vectors in the eld Fn 2 where taken, starting from the zero vector up to the last vector in Fn 2 . This greedy codes are linear with dimension n {u100000} m where m is the index of the B-order of Fn 2 . The parity check matrix for C is H = [g(en) g(e2)g(e1)] where for any 1 i n, ei are the standard unit basis. Also for each vector z in Fn 2 , g(z) is the syndrome of z relative to H. Triangular-greedy codes is one type of greedy code wherein it is generated from the triangular ordered basis. It contains only even weight vectors and for distance exactly equal to 2 the triangular-greedy code is the set of all even weight vectors. In this paper, I discuss the dimension of the triangular greedy-codes of length n and distance d. v 2015-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_masteral/5134 Master's Theses English Animo Repository Algorithms Mathematics
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 Algorithms
Mathematics
spellingShingle Algorithms
Mathematics
Bumanglag, Oscar M., Jr.
On greedy codes
description One of the special type of Lexicographic code is called the Greedy code (C) wherein all possible vectors in the eld Fn 2 where taken, starting from the zero vector up to the last vector in Fn 2 . This greedy codes are linear with dimension n {u100000} m where m is the index of the B-order of Fn 2 . The parity check matrix for C is H = [g(en) g(e2)g(e1)] where for any 1 i n, ei are the standard unit basis. Also for each vector z in Fn 2 , g(z) is the syndrome of z relative to H. Triangular-greedy codes is one type of greedy code wherein it is generated from the triangular ordered basis. It contains only even weight vectors and for distance exactly equal to 2 the triangular-greedy code is the set of all even weight vectors. In this paper, I discuss the dimension of the triangular greedy-codes of length n and distance d. v
format text
author Bumanglag, Oscar M., Jr.
author_facet Bumanglag, Oscar M., Jr.
author_sort Bumanglag, Oscar M., Jr.
title On greedy codes
title_short On greedy codes
title_full On greedy codes
title_fullStr On greedy codes
title_full_unstemmed On greedy codes
title_sort on greedy codes
publisher Animo Repository
publishDate 2015
url https://animorepository.dlsu.edu.ph/etd_masteral/5134
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