{"id":"https://openalex.org/W2922018400","doi":"https://doi.org/10.23919/isita.2018.8664376","title":"Some classes of systematic polynomial codes correcting single- and adjacent transposition errors","display_name":"Some classes of systematic polynomial codes correcting single- and adjacent transposition errors","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2922018400","doi":"https://doi.org/10.23919/isita.2018.8664376","mag":"2922018400"},"language":"en","primary_location":{"id":"doi:10.23919/isita.2018.8664376","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664376","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100629230","display_name":"Yanling Chen","orcid":"https://orcid.org/0000-0003-1603-9121"},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Yanling Chen","raw_affiliation_strings":["Institute of Digital Signal Processing, University of Duisburg-Essen, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Digital Signal Processing, University of Duisburg-Essen, Germany","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065607012","display_name":"A. J. Han Vinck","orcid":"https://orcid.org/0000-0002-7756-5304"},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"A. J. Han Vinck","raw_affiliation_strings":["Institute of Digital Signal Processing, University of Duisburg-Essen, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Digital Signal Processing, University of Duisburg-Essen, Germany","institution_ids":["https://openalex.org/I62318514"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100629230"],"corresponding_institution_ids":["https://openalex.org/I62318514"],"apc_list":null,"apc_paid":null,"fwci":0.163,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.62223647,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"496","last_page":"500"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6158448457717896},{"id":"https://openalex.org/keywords/transposition","display_name":"Transposition (logic)","score":0.5926610827445984},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5847700238227844},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5794243216514587},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5724118947982788},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5388273000717163},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49714019894599915},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4930252730846405},{"id":"https://openalex.org/keywords/raptor-code","display_name":"Raptor code","score":0.4895716607570648},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48250913619995117},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44608771800994873},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39975857734680176},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.36915916204452515},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.3604048490524292},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2974809408187866},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12189394235610962},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.09698167443275452},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09384855628013611}],"concepts":[{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6158448457717896},{"id":"https://openalex.org/C12455157","wikidata":"https://www.wikidata.org/wiki/Q7835331","display_name":"Transposition (logic)","level":2,"score":0.5926610827445984},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5847700238227844},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5794243216514587},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5724118947982788},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5388273000717163},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49714019894599915},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4930252730846405},{"id":"https://openalex.org/C101252705","wikidata":"https://www.wikidata.org/wiki/Q7294373","display_name":"Raptor code","level":5,"score":0.4895716607570648},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48250913619995117},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44608771800994873},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39975857734680176},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.36915916204452515},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.3604048490524292},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2974809408187866},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12189394235610962},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.09698167443275452},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09384855628013611},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/isita.2018.8664376","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664376","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","raw_type":"proceedings-article"},{"id":"pmh:oai:bibliographie.ub.uni-due.de:ubo_mods_00128661","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ISITA.2018.8664376","pdf_url":null,"source":{"id":"https://openalex.org/S7407055102","display_name":"Universit\u00e4tsbibliographie, Universit\u00e4t Duisburg-Essen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Buchaufsatz/Kapitel"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1569612250","https://openalex.org/W1606380055","https://openalex.org/W1606480398","https://openalex.org/W1998937125","https://openalex.org/W2005204387","https://openalex.org/W2048160875","https://openalex.org/W2049706221","https://openalex.org/W2085621845","https://openalex.org/W2128970384","https://openalex.org/W6636216248"],"related_works":["https://openalex.org/W135568846","https://openalex.org/W4237217078","https://openalex.org/W58580312","https://openalex.org/W2963018962","https://openalex.org/W2095450438","https://openalex.org/W1827259406","https://openalex.org/W2081556991","https://openalex.org/W4248142543","https://openalex.org/W4299499158","https://openalex.org/W3173706483"],"abstract_inverted_index":{"In":[0,66],"this":[1],"paper,":[2],"we":[3,45],"use":[4],"2":[5],"check":[6],"digits":[7],"to":[8,81],"construct":[9],"systematic":[10],"polynomial":[11],"codes":[12,52,71,89],"over":[13],"F":[14],"<sub":[15],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[16],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">P</sub>":[17],",":[18],"where":[19],"p":[20],"is":[21],"an":[22],"odd":[23],"prime,":[24],"that":[25],"correct":[26],"all":[27],"the":[28,68,86,107],"singleand":[29],"adjacent":[30],"transposition":[31],"errors":[32,36],"(which":[33],"are":[34,79],"typographic":[35],"often":[37],"made":[38],"by":[39],"human":[40],"operators).":[41],"As":[42],"a":[43,99],"result,":[44],"give":[46],"constructions":[47],"of":[48,51,70,88,102],"several":[49],"classes":[50,69],"with":[53,72,90,106],"code":[54,103],"length":[55],"n":[56,73,91],"=":[57,74,92],"\u00bd":[58,63,75,93],"(p":[59,64,76,94],"+":[60,77],"1)":[61,78],"and":[62],"-1).":[65],"particular,":[67],"new":[80],"our":[82,96],"knowledge;":[83],"while":[84],"for":[85],"class":[87],"-1),":[95],"construction":[97],"provides":[98],"larger":[100],"set":[101],"candidates":[104],"compared":[105],"previous":[108],"work.":[109]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-02T08:37:19.008085","created_date":"2025-10-10T00:00:00"}