{"id":"https://openalex.org/W1972209559","doi":"https://doi.org/10.1109/tit.1964.1053647","title":"On a class of cyclically permutable error-correcting codes","display_name":"On a class of cyclically permutable error-correcting codes","publication_year":1964,"publication_date":"1964-01-01","ids":{"openalex":"https://openalex.org/W1972209559","doi":"https://doi.org/10.1109/tit.1964.1053647","mag":"1972209559"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1964.1053647","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1964.1053647","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-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/A5015261693","display_name":"Peter G. Neumann","orcid":"https://orcid.org/0009-0008-1197-8000"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"P. Neumann","raw_affiliation_strings":["Bell Telephone Laboratories, Inc., Murray Hill, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Bell Telephone Laboratories, Inc., Murray Hill, NJ, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015261693"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1566,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.92446879,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"1","first_page":"75","last_page":"78"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/permutable-prime","display_name":"Permutable prime","score":0.7153227925300598},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5826594233512878},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5213040709495544},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5178540349006653},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.5164137482643127},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5118438601493835},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4908450245857239},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48126572370529175},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4201241731643677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40656766295433044},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3615468144416809},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.18326324224472046},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10006088018417358},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09096863865852356},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08721870183944702}],"concepts":[{"id":"https://openalex.org/C199581761","wikidata":"https://www.wikidata.org/wiki/Q633958","display_name":"Permutable prime","level":2,"score":0.7153227925300598},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5826594233512878},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5213040709495544},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5178540349006653},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.5164137482643127},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5118438601493835},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4908450245857239},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48126572370529175},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4201241731643677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40656766295433044},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3615468144416809},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.18326324224472046},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10006088018417358},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09096863865852356},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08721870183944702},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1964.1053647","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1964.1053647","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W2030741072","https://openalex.org/W2032537600","https://openalex.org/W2034655324","https://openalex.org/W2051984494","https://openalex.org/W2064759901","https://openalex.org/W2159119939","https://openalex.org/W2294429002"],"related_works":["https://openalex.org/W805583316","https://openalex.org/W2380652042","https://openalex.org/W4309688453","https://openalex.org/W1985103476","https://openalex.org/W4210661971","https://openalex.org/W2739151354","https://openalex.org/W2149313668","https://openalex.org/W2366639326","https://openalex.org/W2357344911","https://openalex.org/W2269406232"],"abstract_inverted_index":{"Cyclically":[0],"permutable":[1],"codes":[2,50,68],"have":[3,34],"error-correcting":[4],"properties":[5],"which":[6,33],"are":[7,51,65],"invariant":[8],"under":[9],"arbitrary":[10],"cyclic":[11],"permutation":[12],"of":[13,15,24,28,30,42,58,62],"any":[14],"their":[16],"code":[17,63],"words.":[18],"This":[19],"paper":[20,41],"summarizes":[21],"the":[22,59],"results":[23],"an":[25],"empirical":[26],"investigation":[27],"certain":[29,75],"these":[31],"codes,":[32],"parameters":[35],"not":[36],"covered":[37],"by":[38],"a":[39],"previous":[40],"E.":[43],"N.":[44],"Gilbert.":[45],"<tex":[46],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[47],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">^{1}</tex>":[48],"These":[49],"thought":[52],"to":[53],"be":[54,70],"nearly":[55],"optimal.":[56],"Estimates":[57],"obtainable":[60],"number":[61],"words":[64],"given.":[66],"The":[67],"may":[69],"suitable":[71],"for":[72],"use":[73],"in":[74],"asynchronous":[76],"multiplex":[77],"communication":[78],"systems.":[79]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
