{"id":"https://openalex.org/W2013475751","doi":"https://doi.org/10.1109/tit.1972.1054761","title":"A bound for arithmetic codes of composite length (Corresp.)","display_name":"A bound for arithmetic codes of composite length (Corresp.)","publication_year":1972,"publication_date":"1972-03-01","ids":{"openalex":"https://openalex.org/W2013475751","doi":"https://doi.org/10.1109/tit.1972.1054761","mag":"2013475751"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1972.1054761","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1972.1054761","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/A5111947581","display_name":"C. Hartmann","orcid":"https://orcid.org/0009-0007-5067-589X"},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. Hartmann","raw_affiliation_strings":["Systems and Information Science, Syracuse University, Syracuse, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Systems and Information Science, Syracuse University, Syracuse, NY, USA","institution_ids":["https://openalex.org/I70983195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075016140","display_name":"K.K. Tzeng","orcid":null},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"K. Tzeng","raw_affiliation_strings":["Department of Electrical Engineering, Lehigh University, Bethlehem, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Lehigh University, Bethlehem, PA, USA","institution_ids":["https://openalex.org/I186143895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6066,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.87035661,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"2","first_page":"308","last_page":"308"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9986000061035156,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9639000296592712,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6764694452285767},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.6280060410499573},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6187050938606262},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5250475406646729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5146530866622925},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.45352703332901},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4476189911365509},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3584800362586975},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3403359651565552},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06242215633392334}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6764694452285767},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.6280060410499573},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6187050938606262},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5250475406646729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5146530866622925},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.45352703332901},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4476189911365509},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3584800362586975},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3403359651565552},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06242215633392334},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1972.1054761","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1972.1054761","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W1888253881"],"related_works":["https://openalex.org/W4360764540","https://openalex.org/W4231657010","https://openalex.org/W1944601446","https://openalex.org/W87529998","https://openalex.org/W4247547172","https://openalex.org/W2395986200","https://openalex.org/W2007917622","https://openalex.org/W2385305544","https://openalex.org/W2171635774","https://openalex.org/W2129090975"],"abstract_inverted_index":{"This":[0],"correspondence":[1],"presents":[2],"an":[3],"upper":[4],"bound":[5,27],"on":[6],"the":[7,35],"minimum":[8,36],"distance":[9,37],"of":[10,13,25,34,38],"arithmetic":[11],"codes":[12],"composite":[14],"length":[15],"<tex":[16],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[17],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n":[18],"=":[19],"n_1":[20],"n_2</tex>":[21],".":[22],"The":[23],"tightness":[24],"this":[26],"gives":[28],"a":[29,39],"rather":[30],"good":[31],"working":[32],"estimate":[33],"prospective":[40],"code.":[41]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}