Classic and Quantum Error Correcting Codes View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2008

AUTHORS

Santos González , Consuelo Martínez , Alejandro P. Nicolás

ABSTRACT

Algebraic methods play an important role in coding theory. For instance, there are many connections between codes and groups. In this paper we will present two results that show different applications of algebraic methods in coding theory. One of them refers to the classical context and another one to the quantum error correcting theory. These results can be found in [5] and [13] respectively, where proofs and more details can be found. More... »

PAGES

56-68

References to SciGraph publications

Book

TITLE

Coding Theory and Applications

ISBN

978-3-540-87447-8
978-3-540-87448-5

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-540-87448-5_7

DOI

http://dx.doi.org/10.1007/978-3-540-87448-5_7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1051122092


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Oviedo", 
          "id": "https://www.grid.ac/institutes/grid.10863.3c", 
          "name": [
            "Universidad de Oviedo, Spain"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Gonz\u00e1lez", 
        "givenName": "Santos", 
        "id": "sg:person.016661036521.95", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016661036521.95"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Oviedo", 
          "id": "https://www.grid.ac/institutes/grid.10863.3c", 
          "name": [
            "Universidad de Oviedo, Spain"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Mart\u00ednez", 
        "givenName": "Consuelo", 
        "id": "sg:person.015261576461.61", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015261576461.61"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Cantabria", 
          "id": "https://www.grid.ac/institutes/grid.7821.c", 
          "name": [
            "Universidad de Cantabria, Spain"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Nicol\u00e1s", 
        "givenName": "Alejandro P.", 
        "id": "sg:person.010233044447.59", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010233044447.59"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf01195337", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000086723", 
          "https://doi.org/10.1007/bf01195337"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01195337", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000086723", 
          "https://doi.org/10.1007/bf01195337"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1515/156939204872347", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017844051"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jsco.1996.0125", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036727338"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-540-37634-7_13", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041464390", 
          "https://doi.org/10.1007/978-3-540-37634-7_13"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01114468", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047528203", 
          "https://doi.org/10.1007/bf01114468"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01114468", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047528203", 
          "https://doi.org/10.1007/bf01114468"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01215066", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049540353", 
          "https://doi.org/10.1007/bf01215066"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01215066", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049540353", 
          "https://doi.org/10.1007/bf01215066"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01215066", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049540353", 
          "https://doi.org/10.1007/bf01215066"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/18.165454", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061098763"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/18.508859", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061099975"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/18.959288", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061101812"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/tit.2002.800471", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061649585"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/tit/2002.800473", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061656207"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2140/pjm.1991.151.151", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069069787"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2008", 
    "datePublishedReg": "2008-01-01", 
    "description": "Algebraic methods play an important role in coding theory. For instance, there are many connections between codes and groups. In this paper we will present two results that show different applications of algebraic methods in coding theory. One of them refers to the classical context and another one to the quantum error correcting theory. These results can be found in [5] and [13] respectively, where proofs and more details can be found.", 
    "editor": [
      {
        "familyName": "Barbero", 
        "givenName": "\u00c1ngela", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-540-87448-5_7", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-540-87447-8", 
        "978-3-540-87448-5"
      ], 
      "name": "Coding Theory and Applications", 
      "type": "Book"
    }, 
    "name": "Classic and Quantum Error Correcting Codes", 
    "pagination": "56-68", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-540-87448-5_7"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "f386c27da59c9f99784222a1607a198550f52d9a8f581be6eec6fa6d64676810"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1051122092"
        ]
      }
    ], 
    "publisher": {
      "location": "Berlin, Heidelberg", 
      "name": "Springer Berlin Heidelberg", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-540-87448-5_7", 
      "https://app.dimensions.ai/details/publication/pub.1051122092"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-15T23:55", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8697_00000275.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/978-3-540-87448-5_7"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-3-540-87448-5_7'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-540-87448-5_7'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-540-87448-5_7'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-540-87448-5_7'


 

This table displays all metadata directly associated to this object as RDF triples.

122 TRIPLES      23 PREDICATES      39 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-540-87448-5_7 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author Ne0438b5cf246452688ebeb384db82d0b
4 schema:citation sg:pub.10.1007/978-3-540-37634-7_13
5 sg:pub.10.1007/bf01114468
6 sg:pub.10.1007/bf01195337
7 sg:pub.10.1007/bf01215066
8 https://doi.org/10.1006/jsco.1996.0125
9 https://doi.org/10.1109/18.165454
10 https://doi.org/10.1109/18.508859
11 https://doi.org/10.1109/18.959288
12 https://doi.org/10.1109/tit.2002.800471
13 https://doi.org/10.1109/tit/2002.800473
14 https://doi.org/10.1515/156939204872347
15 https://doi.org/10.2140/pjm.1991.151.151
16 schema:datePublished 2008
17 schema:datePublishedReg 2008-01-01
18 schema:description Algebraic methods play an important role in coding theory. For instance, there are many connections between codes and groups. In this paper we will present two results that show different applications of algebraic methods in coding theory. One of them refers to the classical context and another one to the quantum error correcting theory. These results can be found in [5] and [13] respectively, where proofs and more details can be found.
19 schema:editor N258ab52b90f94989b03c797b23ace0e9
20 schema:genre chapter
21 schema:inLanguage en
22 schema:isAccessibleForFree false
23 schema:isPartOf N67f0767ddec94f4a809cb63c23ca9600
24 schema:name Classic and Quantum Error Correcting Codes
25 schema:pagination 56-68
26 schema:productId N09de7f7228c4461b802e0cc3ed256c0c
27 N352788d2412c47ffa5857f232c97d379
28 Nf9e3f0142e934cf4abfed48a92806faa
29 schema:publisher N6c5936cb539d46c8a2b1d47f109619a9
30 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051122092
31 https://doi.org/10.1007/978-3-540-87448-5_7
32 schema:sdDatePublished 2019-04-15T23:55
33 schema:sdLicense https://scigraph.springernature.com/explorer/license/
34 schema:sdPublisher N7661135301fa4e62958826d4ceb92e15
35 schema:url http://link.springer.com/10.1007/978-3-540-87448-5_7
36 sgo:license sg:explorer/license/
37 sgo:sdDataset chapters
38 rdf:type schema:Chapter
39 N09de7f7228c4461b802e0cc3ed256c0c schema:name dimensions_id
40 schema:value pub.1051122092
41 rdf:type schema:PropertyValue
42 N258ab52b90f94989b03c797b23ace0e9 rdf:first N8103434008fa4053976b65968ef852ef
43 rdf:rest rdf:nil
44 N352788d2412c47ffa5857f232c97d379 schema:name doi
45 schema:value 10.1007/978-3-540-87448-5_7
46 rdf:type schema:PropertyValue
47 N67f0767ddec94f4a809cb63c23ca9600 schema:isbn 978-3-540-87447-8
48 978-3-540-87448-5
49 schema:name Coding Theory and Applications
50 rdf:type schema:Book
51 N6c5936cb539d46c8a2b1d47f109619a9 schema:location Berlin, Heidelberg
52 schema:name Springer Berlin Heidelberg
53 rdf:type schema:Organisation
54 N7661135301fa4e62958826d4ceb92e15 schema:name Springer Nature - SN SciGraph project
55 rdf:type schema:Organization
56 N8103434008fa4053976b65968ef852ef schema:familyName Barbero
57 schema:givenName Ángela
58 rdf:type schema:Person
59 Na722aa831f7d428b9d6c2f5873d28502 rdf:first sg:person.010233044447.59
60 rdf:rest rdf:nil
61 Ncf24f94a0777498c9ff3a44b626bcf8f rdf:first sg:person.015261576461.61
62 rdf:rest Na722aa831f7d428b9d6c2f5873d28502
63 Ne0438b5cf246452688ebeb384db82d0b rdf:first sg:person.016661036521.95
64 rdf:rest Ncf24f94a0777498c9ff3a44b626bcf8f
65 Nf9e3f0142e934cf4abfed48a92806faa schema:name readcube_id
66 schema:value f386c27da59c9f99784222a1607a198550f52d9a8f581be6eec6fa6d64676810
67 rdf:type schema:PropertyValue
68 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
69 schema:name Mathematical Sciences
70 rdf:type schema:DefinedTerm
71 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
72 schema:name Pure Mathematics
73 rdf:type schema:DefinedTerm
74 sg:person.010233044447.59 schema:affiliation https://www.grid.ac/institutes/grid.7821.c
75 schema:familyName Nicolás
76 schema:givenName Alejandro P.
77 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010233044447.59
78 rdf:type schema:Person
79 sg:person.015261576461.61 schema:affiliation https://www.grid.ac/institutes/grid.10863.3c
80 schema:familyName Martínez
81 schema:givenName Consuelo
82 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015261576461.61
83 rdf:type schema:Person
84 sg:person.016661036521.95 schema:affiliation https://www.grid.ac/institutes/grid.10863.3c
85 schema:familyName González
86 schema:givenName Santos
87 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016661036521.95
88 rdf:type schema:Person
89 sg:pub.10.1007/978-3-540-37634-7_13 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041464390
90 https://doi.org/10.1007/978-3-540-37634-7_13
91 rdf:type schema:CreativeWork
92 sg:pub.10.1007/bf01114468 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047528203
93 https://doi.org/10.1007/bf01114468
94 rdf:type schema:CreativeWork
95 sg:pub.10.1007/bf01195337 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000086723
96 https://doi.org/10.1007/bf01195337
97 rdf:type schema:CreativeWork
98 sg:pub.10.1007/bf01215066 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049540353
99 https://doi.org/10.1007/bf01215066
100 rdf:type schema:CreativeWork
101 https://doi.org/10.1006/jsco.1996.0125 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036727338
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1109/18.165454 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061098763
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1109/18.508859 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061099975
106 rdf:type schema:CreativeWork
107 https://doi.org/10.1109/18.959288 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061101812
108 rdf:type schema:CreativeWork
109 https://doi.org/10.1109/tit.2002.800471 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061649585
110 rdf:type schema:CreativeWork
111 https://doi.org/10.1109/tit/2002.800473 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061656207
112 rdf:type schema:CreativeWork
113 https://doi.org/10.1515/156939204872347 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017844051
114 rdf:type schema:CreativeWork
115 https://doi.org/10.2140/pjm.1991.151.151 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069069787
116 rdf:type schema:CreativeWork
117 https://www.grid.ac/institutes/grid.10863.3c schema:alternateName University of Oviedo
118 schema:name Universidad de Oviedo, Spain
119 rdf:type schema:Organization
120 https://www.grid.ac/institutes/grid.7821.c schema:alternateName University of Cantabria
121 schema:name Universidad de Cantabria, Spain
122 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...