{"id":"https://openalex.org/W2165259785","doi":"https://doi.org/10.5075/epfl-thesis-3558","title":"Asymptotic and finite-length optimization of LDPC codes","display_name":"Asymptotic and finite-length optimization of LDPC codes","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2165259785","doi":"https://doi.org/10.5075/epfl-thesis-3558","mag":"2165259785"},"language":"en","primary_location":{"id":"pmh:oai:infoscience.tind.io:85786","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/85786","pdf_url":"http://infoscience.epfl.ch/record/85786","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doctoral thesis"},"type":"dissertation","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/85786","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Amraoui, Abdelaziz","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Amraoui, Abdelaziz","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998999834060669,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9980999827384949,"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":0.9860000014305115,"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/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.6128329634666443},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.529991090297699},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5252877473831177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44575148820877075},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4317491352558136},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4277573525905609},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.41361570358276367},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.41206037998199463},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39872056245803833},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34737518429756165},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.2548105716705322},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.1316404938697815},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12103196978569031}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.6128329634666443},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.529991090297699},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5252877473831177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44575148820877075},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4317491352558136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4277573525905609},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.41361570358276367},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.41206037998199463},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39872056245803833},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34737518429756165},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.2548105716705322},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.1316404938697815},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12103196978569031},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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":4,"locations":[{"id":"pmh:oai:infoscience.tind.io:85786","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/85786","pdf_url":"http://infoscience.epfl.ch/record/85786","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doctoral thesis"},{"id":"pmh:oai:doc.rero.ch:7761","is_oa":false,"landing_page_url":"http://library.epfl.ch/theses/?nr=3558","pdf_url":null,"source":{"id":"https://openalex.org/S4306400148","display_name":"reroDoc Digital Library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"doi:10.5075/epfl-thesis-3558","is_oa":true,"landing_page_url":"https://doi.org/10.5075/epfl-thesis-3558","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Dissertation"},{"id":"mag:2165259785","is_oa":false,"landing_page_url":"https://infoscience.epfl.ch/record/85786","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:infoscience.tind.io:85786","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/85786","pdf_url":"http://infoscience.epfl.ch/record/85786","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"doctoral thesis"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6800000071525574,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2165259785.pdf"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W7241855","https://openalex.org/W1498043190","https://openalex.org/W2029712200","https://openalex.org/W2087040279","https://openalex.org/W2095882513","https://openalex.org/W2110271616","https://openalex.org/W2114673995","https://openalex.org/W2115104320","https://openalex.org/W2126259959","https://openalex.org/W2127490352","https://openalex.org/W2128765501","https://openalex.org/W2133068391","https://openalex.org/W2135764410","https://openalex.org/W2137699000","https://openalex.org/W2137813581","https://openalex.org/W2140655888","https://openalex.org/W2142476030","https://openalex.org/W2142511915","https://openalex.org/W2151450687","https://openalex.org/W2162346886","https://openalex.org/W2167905018","https://openalex.org/W2167943285","https://openalex.org/W2169732368","https://openalex.org/W3152750074"],"related_works":["https://openalex.org/W2128765501","https://openalex.org/W2127490352","https://openalex.org/W1536930200","https://openalex.org/W2029712200","https://openalex.org/W2950804378","https://openalex.org/W2519588986","https://openalex.org/W2952158066","https://openalex.org/W2890470917","https://openalex.org/W3105618276","https://openalex.org/W2963014435","https://openalex.org/W1553445689","https://openalex.org/W3104095479","https://openalex.org/W2169732368","https://openalex.org/W2949493415","https://openalex.org/W3173456857","https://openalex.org/W2968415127","https://openalex.org/W2904799734","https://openalex.org/W3154995459","https://openalex.org/W2509230770","https://openalex.org/W2963873929"],"abstract_inverted_index":{"This":[0,211,267],"thesis":[1,63,141],"addresses":[2],"the":[3,40,54,57,75,86,107,115,122,147,163,187,192,200,215,225,228,232,238,246,253,264,271,283,298,307],"problem":[4,188],"of":[5,43,64,88,91,106,109,149,152,178,218,240,255,285,288],"information":[6],"transmission":[7],"over":[8,121],"noisy":[9],"channels.":[10,138],"In":[11,34,79,139],"1993,":[12],"Berrou,":[13],"Glavieux":[14],"and":[15,97,129,154,170,175,231,274,281,302,313],"Thitimajshima":[16],"discovered":[17],"Turbo-codes.":[18],"These":[19],"codes":[20,47,153,257,287],"made":[21],"it":[22,36],"possible":[23],"to":[24,101,134,145,156,214,223,279,290,296,305],"achieve":[25],"a":[26,83,103,173,259,276,311],"very":[27],"good":[28,277],"performance":[29,148,254],"at":[30],"low":[31],"decoding":[32,52],"complexity.":[33],"hindsight,":[35],"was":[37,53],"recognized":[38],"that":[39,205,252],"underlying":[41],"principle":[42],"using":[44],"sparse":[45],"graph":[46],"in":[48,60,74,85,114,189,209],"conjunction":[49],"with":[50],"message-passing":[51],"same":[55],"as":[56,263,310],"one":[58],"proposed":[59],"Gallager's":[61,67],"remarkable":[62],"1963,":[65],"although":[66],"work":[68],"had":[69],"all":[70],"but":[71],"been":[72],"forgotten":[73],"intervening":[76],"30":[77],"years.":[78],"1997,":[80],"there":[81],"occurred":[82],"breakthrough":[84],"analysis":[87,194,273],"this":[89,140,182,219],"type":[90],"codes.":[92],"Luby,":[93],"Mitzenmacher,":[94],"Shokrollahi,":[95],"Spielman":[96],"Stemann":[98],"were":[99],"able":[100],"give":[102,172],"complete":[104],"characterization":[105],"behavior":[108,284],"Low-Density":[110],"Parity-Check":[111],"code":[112],"ensembles":[113],"infinite":[116,164],"blocklength":[117,165,265],"case":[118,166,230],"when":[119],"used":[120,208],"binary":[123,247],"erasure":[124,248],"channel.":[125,249],"Soon":[126],"thereafter,":[127],"Richardson":[128],"Urbanke":[130],"extended":[131],"their":[132,158],"results":[133],"binary-input":[135],"memoryless":[136],"symmetric":[137],"we":[142,171],"present":[143],"tools":[144],"analyze":[146],"these":[150],"types":[151],"ways":[155],"optimize":[157],"parameters.":[159],"The":[160],"optimization":[161,314],"for":[162,199],"is":[167,222],"relatively":[168],"straightforward":[169],"simple":[174],"efficient":[176],"method":[177],"doing":[179],"so.":[180],"However,":[181],"does":[183],"not":[184],"really":[185],"solve":[186],"practice,":[190],"since":[191],"asymptotic":[193,229,272],"has":[195],"only":[196],"limited":[197],"relevance":[198],"short":[201,289],"or":[202],"moderate":[203,291],"blocklengths":[204],"are":[206],"typically":[207],"practice.":[210],"brings":[212],"us":[213],"main":[216],"objective":[217],"thesis,":[220],"which":[221],"bridge":[224],"gap":[226],"between":[227],"practical":[233],"finite-length":[234],"case.":[235],"We":[236,250,293],"follow":[237],"lead":[239],"Luby":[241],"et":[242],"al.":[243],"by":[244],"considering":[245],"show":[251,294],"LDPC":[256,286],"obeys":[258],"well-defined":[260],"scaling":[261,268,299],"law":[262,269],"increases.":[266],"refines":[270],"provides":[275],"way":[278],"understand":[280],"approximate":[282],"length.":[292],"how":[295,304],"compute":[297],"parameters":[300],"involved":[301],"demonstrate":[303],"use":[306],"resulting":[308],"approximation":[309],"design":[312],"tool.":[315]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-16T07:02:28.622633","created_date":"2025-10-10T00:00:00"}
