{"id":"https://openalex.org/W2022421187","doi":"https://doi.org/10.1109/tit.2014.2338052","title":"Weakly Symmetric Fix-Free Codes","display_name":"Weakly Symmetric Fix-Free Codes","publication_year":2014,"publication_date":"2014-07-10","ids":{"openalex":"https://openalex.org/W2022421187","doi":"https://doi.org/10.1109/tit.2014.2338052","mag":"2022421187"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2338052","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2338052","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/A5026035440","display_name":"Adel Aghajan","orcid":"https://orcid.org/0000-0003-0329-6102"},"institutions":[{"id":"https://openalex.org/I170013655","display_name":"Isfahan University of Technology","ror":"https://ror.org/00af3sa43","country_code":"IR","type":"education","lineage":["https://openalex.org/I170013655"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Adel Aghajan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran","Dept. of Electr. & Comput. Eng., Isfahan Univ. of Technol., Isfahan, Iran#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran","institution_ids":["https://openalex.org/I170013655"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Isfahan Univ. of Technol., Isfahan, Iran#TAB#","institution_ids":["https://openalex.org/I170013655"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090381199","display_name":"Mohammadali Khosravifard","orcid":"https://orcid.org/0000-0002-0645-7285"},"institutions":[{"id":"https://openalex.org/I170013655","display_name":"Isfahan University of Technology","ror":"https://ror.org/00af3sa43","country_code":"IR","type":"education","lineage":["https://openalex.org/I170013655"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammadali Khosravifard","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran","Dept. of Electr. & Comput. Eng., Isfahan Univ. of Technol., Isfahan, Iran#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan, Iran","institution_ids":["https://openalex.org/I170013655"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Isfahan Univ. of Technol., Isfahan, Iran#TAB#","institution_ids":["https://openalex.org/I170013655"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I170013655"],"apc_list":null,"apc_paid":null,"fwci":1.2425,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.84477088,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"60","issue":"9","first_page":"5500","last_page":"5515"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9994000196456909,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9966999888420105,"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/decoding-methods","display_name":"Decoding methods","score":0.6251093745231628},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.609291672706604},{"id":"https://openalex.org/keywords/huffman-coding","display_name":"Huffman coding","score":0.5718761086463928},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.4771682322025299},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42383596301078796},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.406754732131958},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38108235597610474},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3151387572288513},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.10929426550865173}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6251093745231628},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.609291672706604},{"id":"https://openalex.org/C46900642","wikidata":"https://www.wikidata.org/wiki/Q2647","display_name":"Huffman coding","level":3,"score":0.5718761086463928},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.4771682322025299},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42383596301078796},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.406754732131958},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38108235597610474},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3151387572288513},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.10929426550865173},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2014.2338052","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2338052","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":27,"referenced_works":["https://openalex.org/W1512792731","https://openalex.org/W1597182570","https://openalex.org/W2000710025","https://openalex.org/W2002735956","https://openalex.org/W2033806151","https://openalex.org/W2038649859","https://openalex.org/W2039816259","https://openalex.org/W2043622336","https://openalex.org/W2060108852","https://openalex.org/W2107401732","https://openalex.org/W2108189215","https://openalex.org/W2108211616","https://openalex.org/W2110968394","https://openalex.org/W2125700782","https://openalex.org/W2126711987","https://openalex.org/W2129503320","https://openalex.org/W2137416304","https://openalex.org/W2143177448","https://openalex.org/W2149258547","https://openalex.org/W2159205125","https://openalex.org/W2163301895","https://openalex.org/W2164031265","https://openalex.org/W2166451469","https://openalex.org/W2168613521","https://openalex.org/W2478708596","https://openalex.org/W4214852847","https://openalex.org/W6635812967"],"related_works":["https://openalex.org/W2141317899","https://openalex.org/W4312409941","https://openalex.org/W4296567424","https://openalex.org/W1969741585","https://openalex.org/W2025454449","https://openalex.org/W3143996415","https://openalex.org/W2167474439","https://openalex.org/W2078591209","https://openalex.org/W2159205125","https://openalex.org/W2964279123"],"abstract_inverted_index":{"Bidirectional":[0],"decoding":[1,32,38,243],"improves":[2],"the":[3,7,35,43,48,54,56,63,88,104,111,126,139,152,162,179,182,202,205,209,232,240],"error":[4],"resilience":[5],"of":[6,37,65,74,90,131,154,164,181,204,235,244],"fix-free":[8,45,67,75,135,156,167,186,216,237,246],"codes,":[9,46,76,113,247],"which":[10,225],"is":[11,39,80,84,94,108,144,188],"important":[12],"in":[13,20,208],"some":[14,229],"applications":[15],"like":[16],"video":[17],"coding.":[18],"However,":[19],"general,":[21],"two":[22,147],"separate":[23],"decoders":[24,52,130],"must":[25,117],"be":[26,59,118,196,219],"designed":[27],"for":[28,151,175],"forward":[29,49,127],"and":[30,33,50,128,239],"backward":[31,51,129],"hence,":[34],"cost":[36],"almost":[40],"doubled.":[41],"For":[42],"symmetric":[44,86,112,134,166,185,215,245],"although":[47],"are":[53,137,158],"same,":[55],"redundancy":[57,180,203,234],"could":[58],"much":[60,100],"greater":[61,200],"than":[62,106,201],"case":[64,163],"asymmetric":[66,155,236],"codes.":[68,168],"In":[69,141,212],"this":[70],"paper,":[71],"a":[72,95,99,132,170],"class":[73],"called":[77],"weakly":[78,85,133,165,184,214],"symmetric,":[79],"studied.":[81],"A":[82],"code":[83,136,187,207],"if":[87],"reverse":[89],"each":[91,115],"codeword":[92,116],"itself":[93],"codeword.":[96],"This":[97],"imposes":[98],"weaker":[101],"constraint":[102],"on":[103],"codewords":[105],"what":[107],"necessitated":[109],"by":[110,224],"i.e.,":[114],"equal":[119],"to":[120,161,228],"its":[121],"reverse.":[122],"We":[123],"show":[124],"that":[125,146,174],"essentially":[138],"same.":[140],"addition,":[142],"it":[143,194],"shown":[145],"significant":[148],"sufficient":[149],"conditions":[150],"existence":[153],"codes":[157,217,238],"also":[159],"applicable":[160],"As":[169],"result,":[171],"we":[172],"conclude":[173],"any":[176],"memoryless":[177],"source,":[178],"optimal":[183],"at":[189],"most":[190],"1.0817":[191],"bits.":[192],"Moreover,":[193],"can":[195,218,227],"only":[197],"0.8":[198],"bit":[199],"Huffman":[206],"worst":[210],"case.":[211],"summary,":[213],"regarded":[220],"as":[221],"an":[222],"option":[223],"one":[226],"extent":[230],"achieve":[231],"low":[233],"low-cost":[241],"bidirectional":[242],"simultaneously.":[248]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}