{"id":"https://openalex.org/W2046047822","doi":"https://doi.org/10.1109/isit.2007.4557265","title":"On the -overflow probability of lossless codes","display_name":"On the -overflow probability of lossless codes","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W2046047822","doi":"https://doi.org/10.1109/isit.2007.4557265","mag":"2046047822"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2007.4557265","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2007.4557265","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Symposium on Information Theory","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/A5031818620","display_name":"Ryo Nomura","orcid":"https://orcid.org/0000-0002-0799-615X"},"institutions":[{"id":"https://openalex.org/I131231118","display_name":"Aoyama Gakuin University","ror":"https://ror.org/002rw7y37","country_code":"JP","type":"education","lineage":["https://openalex.org/I131231118"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ryo Nomura","raw_affiliation_strings":["Aoyama Gakuin University, College of Science and Engineering, Japan","Aoyama Gakuin University , Tokyo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aoyama Gakuin University, College of Science and Engineering, Japan","institution_ids":["https://openalex.org/I131231118"]},{"raw_affiliation_string":"Aoyama Gakuin University , Tokyo","institution_ids":["https://openalex.org/I131231118"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110471799","display_name":"Toshiyasu Matsushima","orcid":null},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Toshiyasu Matsushima","raw_affiliation_strings":["Waseda University, School of Science and Engineering","School of Science and Engineering, Waseda University. toshi@matsu.mgmt.waseda.ac.jp"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Waseda University, School of Science and Engineering","institution_ids":["https://openalex.org/I150744194"]},{"raw_affiliation_string":"School of Science and Engineering, Waseda University. toshi@matsu.mgmt.waseda.ac.jp","institution_ids":["https://openalex.org/I150744194"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025082609","display_name":"Shigeichi Hirasawa","orcid":"https://orcid.org/0009-0003-0924-1038"},"institutions":[{"id":"https://openalex.org/I150744194","display_name":"Waseda University","ror":"https://ror.org/00ntfnx83","country_code":"JP","type":"education","lineage":["https://openalex.org/I150744194"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shigeichi Hirasawa","raw_affiliation_strings":["Waseda University, School of Science and Engineering, Japan","School of Science and Engineering, Waseda University. hirasawa@hirasa.mgmt.waseda.ac.jp"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Waseda University, School of Science and Engineering, Japan","institution_ids":["https://openalex.org/I150744194"]},{"raw_affiliation_string":"School of Science and Engineering, Waseda University. hirasawa@hirasa.mgmt.waseda.ac.jp","institution_ids":["https://openalex.org/I150744194"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4844,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7551165,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1 and 2","issue":null,"first_page":"441","last_page":"445"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","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/T11269","display_name":"Algorithms and Data Compression","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/T12029","display_name":"DNA and Biological Computing","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/computer-science","display_name":"Computer science","score":0.5171501040458679},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4595903158187866},{"id":"https://openalex.org/keywords/viewpoints","display_name":"Viewpoints","score":0.4454089105129242},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.43848884105682373},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4119132161140442},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40926575660705566},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39346104860305786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3693475127220154},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3597273826599121},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2057703733444214},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10795217752456665},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06550434231758118}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5171501040458679},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4595903158187866},{"id":"https://openalex.org/C2776035091","wikidata":"https://www.wikidata.org/wiki/Q7928819","display_name":"Viewpoints","level":2,"score":0.4454089105129242},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.43848884105682373},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4119132161140442},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40926575660705566},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39346104860305786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3693475127220154},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3597273826599121},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2057703733444214},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10795217752456665},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06550434231758118},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/isit.2007.4557265","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2007.4557265","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"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/W79265410","https://openalex.org/W1579873536","https://openalex.org/W2080654342","https://openalex.org/W2099111195","https://openalex.org/W2137902998","https://openalex.org/W2155973165","https://openalex.org/W2570360673","https://openalex.org/W4251984466","https://openalex.org/W6606972598","https://openalex.org/W6732050945"],"related_works":["https://openalex.org/W2385368906","https://openalex.org/W2902924992","https://openalex.org/W2626642044","https://openalex.org/W93537448","https://openalex.org/W2619807045","https://openalex.org/W2388758053","https://openalex.org/W2949734191","https://openalex.org/W2017333877","https://openalex.org/W2048332520","https://openalex.org/W4233821346"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,54,92,119],"generalize":[4],"the":[5,15,22,25,32,36,56,72,75,78,95,107,121],"achievability":[6],"of":[7,17,27,38,61,68,100,112,123],"variable-length":[8,62,101],"coding":[9],"from":[10],"two":[11],"viewpoints.":[12],"One":[13],"is":[14,24,44,81,103],"definition":[16,26],"an":[18,28,66],"overflow":[19,33,79],"probability,":[20],"and":[21,53],"other":[23],"achievability.":[29],"We":[30],"define":[31],"probability":[34,37,80],"as":[35],"codeword":[39],"length,":[40],"not":[41],"per":[42],"symbol,":[43],"larger":[45],"than":[46,83],"<i":[47,57,87,96,108,124,133],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[48,51,58,88,97,109,125,134],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">eta</i>":[49],"<sub":[50],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sub>":[52],"introduce":[55],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">isin</i>":[59,89,98,110,126,135],"-achievability":[60,99,111,127],"codes":[63,102,114],"that":[64,77,94],"implies":[65],"existence":[67],"a":[69],"code":[70],"for":[71,115,128],"source":[73],"under":[74],"condition":[76,122],"smaller":[82],"or":[84],"equal":[85],"to":[86,106],".":[90,136],"Then":[91],"show":[93,120],"essentially":[104],"equivalent":[105],"fixed-length":[113],"general":[116],"sources.":[117],"Moreover":[118],"some":[129],"restricted":[130],"sources":[131],"given":[132]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
