The ranks of cyclic and negacyclic codes over the finite ring R View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2008-01-01

AUTHORS

Shixin Zhu, Minjia Shi

ABSTRACT

The ranks of cyclic and negacyclic codes over the finite chain ring R as well as their minimal generating sets are defined, and then the expression forms we presented by studying the structures of cyclic and negacyclic codes over the finite chain ring R. Through the paper, it is assumed that the length of codes n can not be divided by the characteristic of R. More... »

PAGES

97-101

References to SciGraph publications

  • 1995-07. Modular andp-adic cyclic codes in DESIGNS, CODES AND CRYPTOGRAPHY
  • 2006-09. DFT for cyclic code overFp +uFp+ ··· +uk-1Fp in JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11767-006-0110-9

    DOI

    http://dx.doi.org/10.1007/s11767-006-0110-9

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1024982226


    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/2008/09", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Engineering", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0906", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Electrical and Electronic Engineering", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Department of Applied Mathematics, Hefei University of Technology, 230009, Hefei, China", 
              "id": "http://www.grid.ac/institutes/grid.256896.6", 
              "name": [
                "Department of Applied Mathematics, Hefei University of Technology, 230009, Hefei, China"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Zhu", 
            "givenName": "Shixin", 
            "id": "sg:person.015137240401.68", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015137240401.68"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "School of Mathematics and Computational Science, Anhui University, 230039, Hefei, China", 
              "id": "http://www.grid.ac/institutes/grid.252245.6", 
              "name": [
                "Department of Applied Mathematics, Hefei University of Technology, 230009, Hefei, China", 
                "School of Mathematics and Computational Science, Anhui University, 230039, Hefei, China"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Shi", 
            "givenName": "Minjia", 
            "id": "sg:person.012012432235.16", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012012432235.16"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf02896468", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010549319", 
              "https://doi.org/10.1007/bf02896468"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01390768", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001930614", 
              "https://doi.org/10.1007/bf01390768"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2008-01-01", 
        "datePublishedReg": "2008-01-01", 
        "description": "The ranks of cyclic and negacyclic codes over the finite chain ring R as well as their minimal generating sets are defined, and then the expression forms we presented by studying the structures of cyclic and negacyclic codes over the finite chain ring R. Through the paper, it is assumed that the length of codes n can not be divided by the characteristic of R.", 
        "genre": "article", 
        "id": "sg:pub.10.1007/s11767-006-0110-9", 
        "inLanguage": "en", 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1313766", 
            "issn": [
              "0217-9822", 
              "1993-0615"
            ], 
            "name": "Journal of Electronics (China)", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "25"
          }
        ], 
        "keywords": [
          "negacyclic codes", 
          "minimal generating set", 
          "finite ring R", 
          "finite chain ring R", 
          "ring R", 
          "generating set", 
          "ring R.", 
          "chain ring R", 
          "code N", 
          "expression form", 
          "rank", 
          "code", 
          "R.", 
          "set", 
          "structure", 
          "form", 
          "length", 
          "characteristics", 
          "paper"
        ], 
        "name": "The ranks of cyclic and negacyclic codes over the finite ring R", 
        "pagination": "97-101", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1024982226"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s11767-006-0110-9"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s11767-006-0110-9", 
          "https://app.dimensions.ai/details/publication/pub.1024982226"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2022-05-20T07:24", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20220519/entities/gbq_results/article/article_460.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1007/s11767-006-0110-9"
      }
    ]
     

    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/s11767-006-0110-9'

    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/s11767-006-0110-9'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11767-006-0110-9'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11767-006-0110-9'


     

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

    96 TRIPLES      22 PREDICATES      46 URIs      36 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s11767-006-0110-9 schema:about anzsrc-for:09
    2 anzsrc-for:0906
    3 schema:author Nc2fa2201a1f34928bc2a51ced9e8cce1
    4 schema:citation sg:pub.10.1007/bf01390768
    5 sg:pub.10.1007/bf02896468
    6 schema:datePublished 2008-01-01
    7 schema:datePublishedReg 2008-01-01
    8 schema:description The ranks of cyclic and negacyclic codes over the finite chain ring R as well as their minimal generating sets are defined, and then the expression forms we presented by studying the structures of cyclic and negacyclic codes over the finite chain ring R. Through the paper, it is assumed that the length of codes n can not be divided by the characteristic of R.
    9 schema:genre article
    10 schema:inLanguage en
    11 schema:isAccessibleForFree false
    12 schema:isPartOf N52471cbafaac4d18b49ad1f6217ed552
    13 N63ad9057ba7a48baab642f1873b08935
    14 sg:journal.1313766
    15 schema:keywords R.
    16 chain ring R
    17 characteristics
    18 code
    19 code N
    20 expression form
    21 finite chain ring R
    22 finite ring R
    23 form
    24 generating set
    25 length
    26 minimal generating set
    27 negacyclic codes
    28 paper
    29 rank
    30 ring R
    31 ring R.
    32 set
    33 structure
    34 schema:name The ranks of cyclic and negacyclic codes over the finite ring R
    35 schema:pagination 97-101
    36 schema:productId N35b9994215334455987ccc2f30f2653b
    37 Na6aeae16988b4dbb9fada9dffdb4e44c
    38 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024982226
    39 https://doi.org/10.1007/s11767-006-0110-9
    40 schema:sdDatePublished 2022-05-20T07:24
    41 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    42 schema:sdPublisher Nd28a23fab0144e6294e520872e3839eb
    43 schema:url https://doi.org/10.1007/s11767-006-0110-9
    44 sgo:license sg:explorer/license/
    45 sgo:sdDataset articles
    46 rdf:type schema:ScholarlyArticle
    47 N35b9994215334455987ccc2f30f2653b schema:name doi
    48 schema:value 10.1007/s11767-006-0110-9
    49 rdf:type schema:PropertyValue
    50 N52471cbafaac4d18b49ad1f6217ed552 schema:volumeNumber 25
    51 rdf:type schema:PublicationVolume
    52 N63ad9057ba7a48baab642f1873b08935 schema:issueNumber 1
    53 rdf:type schema:PublicationIssue
    54 Na6aeae16988b4dbb9fada9dffdb4e44c schema:name dimensions_id
    55 schema:value pub.1024982226
    56 rdf:type schema:PropertyValue
    57 Nc2fa2201a1f34928bc2a51ced9e8cce1 rdf:first sg:person.015137240401.68
    58 rdf:rest Nfcab59170e8e4a13a8eb60c5e7716830
    59 Nd28a23fab0144e6294e520872e3839eb schema:name Springer Nature - SN SciGraph project
    60 rdf:type schema:Organization
    61 Nfcab59170e8e4a13a8eb60c5e7716830 rdf:first sg:person.012012432235.16
    62 rdf:rest rdf:nil
    63 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
    64 schema:name Engineering
    65 rdf:type schema:DefinedTerm
    66 anzsrc-for:0906 schema:inDefinedTermSet anzsrc-for:
    67 schema:name Electrical and Electronic Engineering
    68 rdf:type schema:DefinedTerm
    69 sg:journal.1313766 schema:issn 0217-9822
    70 1993-0615
    71 schema:name Journal of Electronics (China)
    72 schema:publisher Springer Nature
    73 rdf:type schema:Periodical
    74 sg:person.012012432235.16 schema:affiliation grid-institutes:grid.252245.6
    75 schema:familyName Shi
    76 schema:givenName Minjia
    77 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012012432235.16
    78 rdf:type schema:Person
    79 sg:person.015137240401.68 schema:affiliation grid-institutes:grid.256896.6
    80 schema:familyName Zhu
    81 schema:givenName Shixin
    82 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015137240401.68
    83 rdf:type schema:Person
    84 sg:pub.10.1007/bf01390768 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001930614
    85 https://doi.org/10.1007/bf01390768
    86 rdf:type schema:CreativeWork
    87 sg:pub.10.1007/bf02896468 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010549319
    88 https://doi.org/10.1007/bf02896468
    89 rdf:type schema:CreativeWork
    90 grid-institutes:grid.252245.6 schema:alternateName School of Mathematics and Computational Science, Anhui University, 230039, Hefei, China
    91 schema:name Department of Applied Mathematics, Hefei University of Technology, 230009, Hefei, China
    92 School of Mathematics and Computational Science, Anhui University, 230039, Hefei, China
    93 rdf:type schema:Organization
    94 grid-institutes:grid.256896.6 schema:alternateName Department of Applied Mathematics, Hefei University of Technology, 230009, Hefei, China
    95 schema:name Department of Applied Mathematics, Hefei University of Technology, 230009, Hefei, China
    96 rdf:type schema:Organization
     




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


    ...