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", 
          "ring R", 
          "minimal generating set", 
          "generating set", 
          "finite ring R", 
          "expression form", 
          "ring R.", 
          "code N", 
          "rank", 
          "code", 
          "set", 
          "R.", 
          "form", 
          "structure", 
          "length", 
          "characteristics", 
          "paper", 
          "finite chain ring R", 
          "chain ring R", 
          "finite chain ring R.", 
          "chain ring R."
        ], 
        "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": "2022-01-01T18:18", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20220101/entities/gbq_results/article/article_472.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.

    98 TRIPLES      22 PREDICATES      48 URIs      38 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 N454464b42f19429a8c78c9150e869370
    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 N126eaf2d92cc446f989bf2aeb3919cf1
    13 N7e13e6891a6e4ddeabdc4a2991b404b6
    14 sg:journal.1313766
    15 schema:keywords R.
    16 chain ring R
    17 chain ring R.
    18 characteristics
    19 code
    20 code N
    21 expression form
    22 finite chain ring R
    23 finite chain ring R.
    24 finite ring R
    25 form
    26 generating set
    27 length
    28 minimal generating set
    29 negacyclic codes
    30 paper
    31 rank
    32 ring R
    33 ring R.
    34 set
    35 structure
    36 schema:name The ranks of cyclic and negacyclic codes over the finite ring R
    37 schema:pagination 97-101
    38 schema:productId N5a7b7999f81b4f99b39cd03ad87c9450
    39 N807ccb9ef61348cfb41cf7ba7b19fa14
    40 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024982226
    41 https://doi.org/10.1007/s11767-006-0110-9
    42 schema:sdDatePublished 2022-01-01T18:18
    43 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    44 schema:sdPublisher N6efe6e6716ee48a9aae278598a0ec681
    45 schema:url https://doi.org/10.1007/s11767-006-0110-9
    46 sgo:license sg:explorer/license/
    47 sgo:sdDataset articles
    48 rdf:type schema:ScholarlyArticle
    49 N126eaf2d92cc446f989bf2aeb3919cf1 schema:issueNumber 1
    50 rdf:type schema:PublicationIssue
    51 N454464b42f19429a8c78c9150e869370 rdf:first sg:person.015137240401.68
    52 rdf:rest N9d47d72a92c74da3b53f0cb7a10e906d
    53 N5a7b7999f81b4f99b39cd03ad87c9450 schema:name doi
    54 schema:value 10.1007/s11767-006-0110-9
    55 rdf:type schema:PropertyValue
    56 N6efe6e6716ee48a9aae278598a0ec681 schema:name Springer Nature - SN SciGraph project
    57 rdf:type schema:Organization
    58 N7e13e6891a6e4ddeabdc4a2991b404b6 schema:volumeNumber 25
    59 rdf:type schema:PublicationVolume
    60 N807ccb9ef61348cfb41cf7ba7b19fa14 schema:name dimensions_id
    61 schema:value pub.1024982226
    62 rdf:type schema:PropertyValue
    63 N9d47d72a92c74da3b53f0cb7a10e906d rdf:first sg:person.012012432235.16
    64 rdf:rest rdf:nil
    65 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
    66 schema:name Engineering
    67 rdf:type schema:DefinedTerm
    68 anzsrc-for:0906 schema:inDefinedTermSet anzsrc-for:
    69 schema:name Electrical and Electronic Engineering
    70 rdf:type schema:DefinedTerm
    71 sg:journal.1313766 schema:issn 0217-9822
    72 1993-0615
    73 schema:name Journal of Electronics (China)
    74 schema:publisher Springer Nature
    75 rdf:type schema:Periodical
    76 sg:person.012012432235.16 schema:affiliation grid-institutes:grid.252245.6
    77 schema:familyName Shi
    78 schema:givenName Minjia
    79 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012012432235.16
    80 rdf:type schema:Person
    81 sg:person.015137240401.68 schema:affiliation grid-institutes:grid.256896.6
    82 schema:familyName Zhu
    83 schema:givenName Shixin
    84 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015137240401.68
    85 rdf:type schema:Person
    86 sg:pub.10.1007/bf01390768 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001930614
    87 https://doi.org/10.1007/bf01390768
    88 rdf:type schema:CreativeWork
    89 sg:pub.10.1007/bf02896468 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010549319
    90 https://doi.org/10.1007/bf02896468
    91 rdf:type schema:CreativeWork
    92 grid-institutes:grid.252245.6 schema:alternateName School of Mathematics and Computational Science, Anhui University, 230039, Hefei, China
    93 schema:name Department of Applied Mathematics, Hefei University of Technology, 230009, Hefei, China
    94 School of Mathematics and Computational Science, Anhui University, 230039, Hefei, China
    95 rdf:type schema:Organization
    96 grid-institutes:grid.256896.6 schema:alternateName Department of Applied Mathematics, Hefei University of Technology, 230009, Hefei, China
    97 schema:name Department of Applied Mathematics, Hefei University of Technology, 230009, Hefei, China
    98 rdf:type schema:Organization
     




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


    ...