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Binary linear code can be defined by constructing generator matrix from adjacency <br /> <br /> <br /> <br /> <br /> matrix of undirected graphs. A binary linier code which is constructed by a high <br /> <br /> <br /> <br /> <br /...
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id-itb.:144092017-09-27T11:43:01Z#TITLE_ALTERNATIVE# RACHMANIAR (NIM 10107053); Pembimbing : Dr. Djoko Suprijanto, RANNY Indonesia Final Project INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/14409 Binary linear code can be defined by constructing generator matrix from adjacency <br /> <br /> <br /> <br /> <br /> matrix of undirected graphs. A binary linier code which is constructed by a high <br /> <br /> <br /> <br /> <br /> dimensional adjacency matrix of undirected graf will always accomplish Gilbert- <br /> <br /> <br /> <br /> <br /> Varshamov bound. It is well-known that from strongly regular graphs we can ob- <br /> <br /> <br /> <br /> <br /> tain nearly optimal and optimal codes. Moreover, strongly regular graphs can be <br /> <br /> <br /> <br /> <br /> operated to get a new graph and, as a by-product, a new code. In this final project, <br /> <br /> <br /> <br /> <br /> we observe four kind of operations on graph theory: union, join, product, and line <br /> <br /> <br /> <br /> <br /> graph. By using line graph operation, we get several codes which are nearly optimal <br /> <br /> <br /> <br /> <br /> and optimal. text |
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Binary linear code can be defined by constructing generator matrix from adjacency <br />
<br />
<br />
<br />
<br />
matrix of undirected graphs. A binary linier code which is constructed by a high <br />
<br />
<br />
<br />
<br />
dimensional adjacency matrix of undirected graf will always accomplish Gilbert- <br />
<br />
<br />
<br />
<br />
Varshamov bound. It is well-known that from strongly regular graphs we can ob- <br />
<br />
<br />
<br />
<br />
tain nearly optimal and optimal codes. Moreover, strongly regular graphs can be <br />
<br />
<br />
<br />
<br />
operated to get a new graph and, as a by-product, a new code. In this final project, <br />
<br />
<br />
<br />
<br />
we observe four kind of operations on graph theory: union, join, product, and line <br />
<br />
<br />
<br />
<br />
graph. By using line graph operation, we get several codes which are nearly optimal <br />
<br />
<br />
<br />
<br />
and optimal. |
format |
Final Project |
author |
RACHMANIAR (NIM 10107053); Pembimbing : Dr. Djoko Suprijanto, RANNY |
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RACHMANIAR (NIM 10107053); Pembimbing : Dr. Djoko Suprijanto, RANNY #TITLE_ALTERNATIVE# |
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RACHMANIAR (NIM 10107053); Pembimbing : Dr. Djoko Suprijanto, RANNY |
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RACHMANIAR (NIM 10107053); Pembimbing : Dr. Djoko Suprijanto, RANNY |
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https://digilib.itb.ac.id/gdl/view/14409 |
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1820737208442683392 |