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Construction of high rate T-direct codes
This paper presents a class of multi-user codes named as T - direct tertiary codes. These classes of codes have higher information rate in comparison to the existing T - direct codes. A coding scheme (encoding and decoding) is proposed for the class of T - direct codes, that increases the informatio...
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| Published in: | Computational & applied mathematics 2018-11, Vol.37 (5), p.5844-5856 |
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| Language: | English |
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| container_end_page | 5856 |
| container_issue | 5 |
| container_start_page | 5844 |
| container_title | Computational & applied mathematics |
| container_volume | 37 |
| creator | Devi, Meenakshi Durai, R. S. Raja Xu, Hongjun |
| description | This paper presents a class of multi-user codes named as
T
-
direct tertiary
codes. These classes of codes have higher information rate in comparison to the existing
T
-
direct
codes. A coding scheme (encoding and decoding) is proposed for the class of
T
-
direct
codes, that increases the information rate of the
constituent
codes in comparison to the existing coding scheme for the class of
T
-
direct
codes: the coding scheme first drives the code
C
i
′
(
n
′
,
k
′
,
d
′
)
from the
constituent
code
C
i
(
n
,
k
,
d
)
of existing
T
-
direct
code
(
C
1
,
C
2
,
…
,
C
T
)
with
k
′
n
′
≥
k
n
, and eventually forms a
T
-
direct
code
(
C
1
′
,
C
2
′
,
…
,
C
T
′
)
with an overall increase in sum-rate. Just like
T
-
direct
codes, the newly constructed class of codes can be used for simultaneous transmission of non-binary symbols over an
F
-adder channel. Further, an associated decoding technique for the constructed class of codes is also proposed. |
| doi_str_mv | 10.1007/s40314-018-0665-8 |
| format | article |
| fullrecord | <record><control><sourceid>proquest_sprin</sourceid><recordid>TN_cdi_proquest_journals_2154309977</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2154309977</sourcerecordid><originalsourceid>FETCH-LOGICAL-p226t-610ea5602314efe75f8b339cc6be61821bfcf0a535bd967b550d632f972b944f3</originalsourceid><addsrcrecordid>eNpFkE1LxDAURYMoWMb5Ae4KbtxE38t3l1LUEQbcjOvQtMlMB2lrkv5_O1Twbe7mcO_jEHKP8IQA-jkJ4CgooKGglKTmihRoQFPgwK5JAQhIDQN5S7YpnWE5AYBMFeSxHoeU49zmfhzKMZSn_ngqY5N9eaBdH32by3bsfLojN6H5Tn77lxvy9fZ6qHd0__n-Ub_s6cSYylQh-EYqYMtDPngtg3GcV22rnFdoGLrQBmgkl66rlHZSQqc4C5VmrhIi8A15WHunOP7MPmV7Huc4LJOWoRQcqkrrhWIrlabYD0cf_ykEe5FiVyl2kWIvUqzhv_Z0UiA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2154309977</pqid></control><display><type>article</type><title>Construction of high rate T-direct codes</title><source>Springer Nature</source><creator>Devi, Meenakshi ; Durai, R. S. Raja ; Xu, Hongjun</creator><creatorcontrib>Devi, Meenakshi ; Durai, R. S. Raja ; Xu, Hongjun</creatorcontrib><description>This paper presents a class of multi-user codes named as
T
-
direct tertiary
codes. These classes of codes have higher information rate in comparison to the existing
T
-
direct
codes. A coding scheme (encoding and decoding) is proposed for the class of
T
-
direct
codes, that increases the information rate of the
constituent
codes in comparison to the existing coding scheme for the class of
T
-
direct
codes: the coding scheme first drives the code
C
i
′
(
n
′
,
k
′
,
d
′
)
from the
constituent
code
C
i
(
n
,
k
,
d
)
of existing
T
-
direct
code
(
C
1
,
C
2
,
…
,
C
T
)
with
k
′
n
′
≥
k
n
, and eventually forms a
T
-
direct
code
(
C
1
′
,
C
2
′
,
…
,
C
T
′
)
with an overall increase in sum-rate. Just like
T
-
direct
codes, the newly constructed class of codes can be used for simultaneous transmission of non-binary symbols over an
F
-adder channel. Further, an associated decoding technique for the constructed class of codes is also proposed.</description><identifier>ISSN: 0101-8205</identifier><identifier>ISSN: 2238-3603</identifier><identifier>EISSN: 1807-0302</identifier><identifier>DOI: 10.1007/s40314-018-0665-8</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Applications of Mathematics ; Applied physics ; Codes ; Coding ; Computational mathematics ; Computational Mathematics and Numerical Analysis ; Constituents ; Decoding ; Mathematical Applications in Computer Science ; Mathematical Applications in the Physical Sciences ; Mathematics ; Mathematics and Statistics</subject><ispartof>Computational & applied mathematics, 2018-11, Vol.37 (5), p.5844-5856</ispartof><rights>SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018</rights><rights>Copyright Springer Science & Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-p226t-610ea5602314efe75f8b339cc6be61821bfcf0a535bd967b550d632f972b944f3</cites><orcidid>0000-0001-6656-1087</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27900,27901</link.rule.ids></links><search><creatorcontrib>Devi, Meenakshi</creatorcontrib><creatorcontrib>Durai, R. S. Raja</creatorcontrib><creatorcontrib>Xu, Hongjun</creatorcontrib><title>Construction of high rate T-direct codes</title><title>Computational & applied mathematics</title><addtitle>Comp. Appl. Math</addtitle><description>This paper presents a class of multi-user codes named as
T
-
direct tertiary
codes. These classes of codes have higher information rate in comparison to the existing
T
-
direct
codes. A coding scheme (encoding and decoding) is proposed for the class of
T
-
direct
codes, that increases the information rate of the
constituent
codes in comparison to the existing coding scheme for the class of
T
-
direct
codes: the coding scheme first drives the code
C
i
′
(
n
′
,
k
′
,
d
′
)
from the
constituent
code
C
i
(
n
,
k
,
d
)
of existing
T
-
direct
code
(
C
1
,
C
2
,
…
,
C
T
)
with
k
′
n
′
≥
k
n
, and eventually forms a
T
-
direct
code
(
C
1
′
,
C
2
′
,
…
,
C
T
′
)
with an overall increase in sum-rate. Just like
T
-
direct
codes, the newly constructed class of codes can be used for simultaneous transmission of non-binary symbols over an
F
-adder channel. Further, an associated decoding technique for the constructed class of codes is also proposed.</description><subject>Applications of Mathematics</subject><subject>Applied physics</subject><subject>Codes</subject><subject>Coding</subject><subject>Computational mathematics</subject><subject>Computational Mathematics and Numerical Analysis</subject><subject>Constituents</subject><subject>Decoding</subject><subject>Mathematical Applications in Computer Science</subject><subject>Mathematical Applications in the Physical Sciences</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><issn>0101-8205</issn><issn>2238-3603</issn><issn>1807-0302</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNpFkE1LxDAURYMoWMb5Ae4KbtxE38t3l1LUEQbcjOvQtMlMB2lrkv5_O1Twbe7mcO_jEHKP8IQA-jkJ4CgooKGglKTmihRoQFPgwK5JAQhIDQN5S7YpnWE5AYBMFeSxHoeU49zmfhzKMZSn_ngqY5N9eaBdH32by3bsfLojN6H5Tn77lxvy9fZ6qHd0__n-Ub_s6cSYylQh-EYqYMtDPngtg3GcV22rnFdoGLrQBmgkl66rlHZSQqc4C5VmrhIi8A15WHunOP7MPmV7Huc4LJOWoRQcqkrrhWIrlabYD0cf_ykEe5FiVyl2kWIvUqzhv_Z0UiA</recordid><startdate>20181101</startdate><enddate>20181101</enddate><creator>Devi, Meenakshi</creator><creator>Durai, R. S. Raja</creator><creator>Xu, Hongjun</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope/><orcidid>https://orcid.org/0000-0001-6656-1087</orcidid></search><sort><creationdate>20181101</creationdate><title>Construction of high rate T-direct codes</title><author>Devi, Meenakshi ; Durai, R. S. Raja ; Xu, Hongjun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p226t-610ea5602314efe75f8b339cc6be61821bfcf0a535bd967b550d632f972b944f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Applications of Mathematics</topic><topic>Applied physics</topic><topic>Codes</topic><topic>Coding</topic><topic>Computational mathematics</topic><topic>Computational Mathematics and Numerical Analysis</topic><topic>Constituents</topic><topic>Decoding</topic><topic>Mathematical Applications in Computer Science</topic><topic>Mathematical Applications in the Physical Sciences</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Devi, Meenakshi</creatorcontrib><creatorcontrib>Durai, R. S. Raja</creatorcontrib><creatorcontrib>Xu, Hongjun</creatorcontrib><jtitle>Computational & applied mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Devi, Meenakshi</au><au>Durai, R. S. Raja</au><au>Xu, Hongjun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Construction of high rate T-direct codes</atitle><jtitle>Computational & applied mathematics</jtitle><stitle>Comp. Appl. Math</stitle><date>2018-11-01</date><risdate>2018</risdate><volume>37</volume><issue>5</issue><spage>5844</spage><epage>5856</epage><pages>5844-5856</pages><issn>0101-8205</issn><issn>2238-3603</issn><eissn>1807-0302</eissn><abstract>This paper presents a class of multi-user codes named as
T
-
direct tertiary
codes. These classes of codes have higher information rate in comparison to the existing
T
-
direct
codes. A coding scheme (encoding and decoding) is proposed for the class of
T
-
direct
codes, that increases the information rate of the
constituent
codes in comparison to the existing coding scheme for the class of
T
-
direct
codes: the coding scheme first drives the code
C
i
′
(
n
′
,
k
′
,
d
′
)
from the
constituent
code
C
i
(
n
,
k
,
d
)
of existing
T
-
direct
code
(
C
1
,
C
2
,
…
,
C
T
)
with
k
′
n
′
≥
k
n
, and eventually forms a
T
-
direct
code
(
C
1
′
,
C
2
′
,
…
,
C
T
′
)
with an overall increase in sum-rate. Just like
T
-
direct
codes, the newly constructed class of codes can be used for simultaneous transmission of non-binary symbols over an
F
-adder channel. Further, an associated decoding technique for the constructed class of codes is also proposed.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s40314-018-0665-8</doi><tpages>13</tpages><orcidid>https://orcid.org/0000-0001-6656-1087</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0101-8205 |
| ispartof | Computational & applied mathematics, 2018-11, Vol.37 (5), p.5844-5856 |
| issn | 0101-8205 2238-3603 1807-0302 |
| language | eng |
| recordid | cdi_proquest_journals_2154309977 |
| source | Springer Nature |
| subjects | Applications of Mathematics Applied physics Codes Coding Computational mathematics Computational Mathematics and Numerical Analysis Constituents Decoding Mathematical Applications in Computer Science Mathematical Applications in the Physical Sciences Mathematics Mathematics and Statistics |
| title | Construction of high rate T-direct codes |
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