{"id":"https://openalex.org/W2091028619","doi":"https://doi.org/10.1145/1280940.1281010","title":"On the expected codeword length per symbol of optimal prefix codes for extended sources","display_name":"On the expected codeword length per symbol of optimal prefix codes for extended sources","publication_year":2007,"publication_date":"2007-08-12","ids":{"openalex":"https://openalex.org/W2091028619","doi":"https://doi.org/10.1145/1280940.1281010","mag":"2091028619"},"language":"en","primary_location":{"id":"doi:10.1145/1280940.1281010","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1280940.1281010","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 international conference on Wireless communications and mobile computing","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/A5103185529","display_name":"Jay Cheng","orcid":"https://orcid.org/0000-0002-2522-7354"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Jay Cheng","raw_affiliation_strings":["National Tsing Hua University, Hsinchu, Taiwan Roc","Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu#TAB#"],"affiliations":[{"raw_affiliation_string":"National Tsing Hua University, Hsinchu, Taiwan Roc","institution_ids":["https://openalex.org/I25846049"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu#TAB#","institution_ids":["https://openalex.org/I25846049"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103185529"],"corresponding_institution_ids":["https://openalex.org/I25846049"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10030604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"325","last_page":"328"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","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/T11269","display_name":"Algorithms and Data Compression","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/T12162","display_name":"Cellular Automata and Applications","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.8813687562942505},{"id":"https://openalex.org/keywords/prefix-code","display_name":"Prefix code","score":0.6862446069717407},{"id":"https://openalex.org/keywords/prefix","display_name":"Prefix","score":0.6622173190116882},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6371476650238037},{"id":"https://openalex.org/keywords/symbol","display_name":"Symbol (formal)","score":0.5162922739982605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4861757159233093},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4562784433364868},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.438540518283844},{"id":"https://openalex.org/keywords/parity-check-matrix","display_name":"Parity-check matrix","score":0.4382106065750122},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4342321455478668},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.42117607593536377},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41471225023269653},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.4102284908294678},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3944726884365082},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3939386308193207},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37007108330726624},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.3620462417602539},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.338265597820282},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.20280620455741882},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08561009168624878}],"concepts":[{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.8813687562942505},{"id":"https://openalex.org/C20079647","wikidata":"https://www.wikidata.org/wiki/Q1278039","display_name":"Prefix code","level":5,"score":0.6862446069717407},{"id":"https://openalex.org/C141603448","wikidata":"https://www.wikidata.org/wiki/Q134830","display_name":"Prefix","level":2,"score":0.6622173190116882},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6371476650238037},{"id":"https://openalex.org/C134400042","wikidata":"https://www.wikidata.org/wiki/Q2372244","display_name":"Symbol (formal)","level":2,"score":0.5162922739982605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4861757159233093},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4562784433364868},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.438540518283844},{"id":"https://openalex.org/C95925971","wikidata":"https://www.wikidata.org/wiki/Q3100414","display_name":"Parity-check matrix","level":4,"score":0.4382106065750122},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4342321455478668},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.42117607593536377},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41471225023269653},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.4102284908294678},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3944726884365082},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3939386308193207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37007108330726624},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.3620462417602539},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.338265597820282},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.20280620455741882},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08561009168624878},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1280940.1281010","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1280940.1281010","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2007 international conference on Wireless communications and mobile computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1995875735","https://openalex.org/W2076803615","https://openalex.org/W2081519449","https://openalex.org/W2099111195","https://openalex.org/W2145684344"],"related_works":["https://openalex.org/W2094225155","https://openalex.org/W1650274465","https://openalex.org/W1648222467","https://openalex.org/W2566439177","https://openalex.org/W2023299357","https://openalex.org/W2136927376","https://openalex.org/W4244214420","https://openalex.org/W2952674952","https://openalex.org/W2157678969","https://openalex.org/W2075885592"],"abstract_inverted_index":{"For":[0],"a":[1,54,70],"discrete":[2],"memoryless":[3],"source":[4,26,31],"X,":[5],"it":[6,57],"is":[7,58],"well":[8],"known":[9],"that":[10],"the":[11,24,30,34,42,50,73,81],"expected":[12,74],"codeword":[13,75],"length":[14,76],"per":[15,77],"symbol":[16,78],"Ln(X)":[17,36],"of":[18,62],"an":[19],"optimal":[20],"prefix":[21],"code":[22],"for":[23],"extended":[25],"Xn":[27],"converges":[28],"to":[29,64],"entropy.":[32],"However,":[33],"sequence":[35],"need":[37],"not":[38],"be":[39],"nonincreasing.":[40],"As":[41],"encoding":[43],"and":[44,61],"decoding":[45],"complexity":[46],"increases":[47],"exponentially":[48],"with":[49],"block":[51,82],"length,":[52],"from":[53],"practical":[55],"perspective":[56],"both":[59],"important":[60],"interest":[63],"know":[65],"when":[66],"we":[67],"can":[68],"have":[69],"decrease":[71],"in":[72],"by":[79],"increasing":[80],"length.":[83]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}