{"id":"https://openalex.org/W1519620109","doi":"https://doi.org/10.1109/itw.2015.7133160","title":"Combinatorial channels from partially ordered sets","display_name":"Combinatorial channels from partially ordered sets","publication_year":2015,"publication_date":"2015-04-01","ids":{"openalex":"https://openalex.org/W1519620109","doi":"https://doi.org/10.1109/itw.2015.7133160","mag":"1519620109"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2015.7133160","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2015.7133160","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.ideals.illinois.edu/items/98461/bitstreams/315412/data.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089243170","display_name":"Daniel Cullina","orcid":"https://orcid.org/0000-0002-7471-2102"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Cullina","raw_affiliation_strings":["Dep. of Electrical & Computer Eng, University of Illinois at Urbana-Champaign, Urbana, IL","Dep. of Electrical & Computer Eng., Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dep. of Electrical & Computer Eng, University of Illinois at Urbana-Champaign, Urbana, IL","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dep. of Electrical & Computer Eng., Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012789968","display_name":"Negar Kiyavash","orcid":"https://orcid.org/0000-0002-8545-7709"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Negar Kiyavash","raw_affiliation_strings":["Dep. of Industrial and Enterprise Systems Eng, University of Illinois at Urbana-Champaign, Urbana, IL","Dep. of Industrial and Enterprise Systems Eng., Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dep. of Industrial and Enterprise Systems Eng, University of Illinois at Urbana-Champaign, Urbana, IL","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dep. of Industrial and Enterprise Systems Eng., Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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":0.9994999766349792,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9990000128746033,"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/mathematics","display_name":"Mathematics","score":0.6913620233535767},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6883716583251953},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.6601876020431519},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5490574836730957},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5467988848686218},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5084268450737},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.5075255632400513},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4937354028224945},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4354897737503052},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.4125065803527832},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4105817973613739},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26627829670906067},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20221632719039917},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.11284571886062622}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6913620233535767},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6883716583251953},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.6601876020431519},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5490574836730957},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5467988848686218},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5084268450737},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.5075255632400513},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4937354028224945},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4354897737503052},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.4125065803527832},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4105817973613739},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26627829670906067},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20221632719039917},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.11284571886062622},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/itw.2015.7133160","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2015.7133160","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},{"id":"pmh:oai:www.ideals.illinois.edu:2142/95346","is_oa":true,"landing_page_url":"http://hdl.handle.net/2142/95346","pdf_url":"https://www.ideals.illinois.edu/items/98461/bitstreams/315412/data.pdf","source":{"id":"https://openalex.org/S4377196349","display_name":"IDEALS (University of Illinois Urbana-Champaign)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157725225","host_organization_name":"University of Illinois Urbana-Champaign","host_organization_lineage":["https://openalex.org/I157725225"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Thesis"}],"best_oa_location":{"id":"pmh:oai:www.ideals.illinois.edu:2142/95346","is_oa":true,"landing_page_url":"http://hdl.handle.net/2142/95346","pdf_url":"https://www.ideals.illinois.edu/items/98461/bitstreams/315412/data.pdf","source":{"id":"https://openalex.org/S4377196349","display_name":"IDEALS (University of Illinois Urbana-Champaign)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157725225","host_organization_name":"University of Illinois Urbana-Champaign","host_organization_lineage":["https://openalex.org/I157725225"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Thesis"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1519620109.pdf","grobid_xml":"https://content.openalex.org/works/W1519620109.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1647671624","https://openalex.org/W1987233725","https://openalex.org/W2019935404","https://openalex.org/W2037860461","https://openalex.org/W2038488239","https://openalex.org/W2078289947","https://openalex.org/W2082173153","https://openalex.org/W2164684058","https://openalex.org/W2170653881","https://openalex.org/W2588705923","https://openalex.org/W2963183421","https://openalex.org/W6636915900","https://openalex.org/W6733462999"],"related_works":["https://openalex.org/W2008960744","https://openalex.org/W2105471374","https://openalex.org/W2963549154","https://openalex.org/W2158117886","https://openalex.org/W1987803429","https://openalex.org/W1582340598","https://openalex.org/W2152162311","https://openalex.org/W1530654122","https://openalex.org/W2182731056","https://openalex.org/W3013281356"],"abstract_inverted_index":{"A":[0,14],"combinatorial":[1,40],"channel":[2,8,12,149],"specifies":[3],"a":[4,24,37,44,66,76,101,152,169,176],"set":[5,145,160],"of":[6,26,39,46,53,69,85,107,115,136,146,161,187,195,206,233],"possible":[7],"outputs":[9],"for":[10,181,240,246],"each":[11,64,105,148,164,173],"input.":[13],"ranked":[15,20,77],"partially":[16],"ordered":[17],"set,":[18],"or":[19],"poset,":[21],"gives":[22],"us":[23,34],"notion":[25],"up":[27,70],"errors":[28,71,218,244],"and":[29,59,72,93,122,212,225,242],"down":[30,73],"errors.":[31,74],"This":[32,202],"allows":[33],"to":[35,151,175,197],"define":[36],"variety":[38],"channels.":[41],"There":[42],"is":[43,100,130],"family":[45,84,141,194],"channels":[47,86,138,196],"that":[48,157],"have":[49,88,142],"the":[50,54,57,80,83,89,95,108,111,116,137,140,143,159,182,193,199,230,236],"rank-n":[51],"elements":[52],"poset":[55,78],"as":[56],"input,":[58],"introduce":[60],"s":[61],"total":[62],"errors,":[63],"performing":[65],"different":[67,153,170,177],"mixture":[68],"If":[75],"has":[79,168],"\u201cparallelogram":[81],"property,\u201d":[82],"all":[87,135],"same":[90,96,144],"confusion":[91,113],"graph":[92,114],"thus":[94],"codes.":[97,162,183],"Furthermore,":[98],"there":[99],"natural":[102,237],"metric":[103,129],"on":[104],"rank":[106],"poset.":[109],"In":[110],"common":[112],"channel,":[117],"vertices":[118],"are":[119],"adjacent":[120],"if":[121,124],"only":[123],"their":[125],"distance":[126],"in":[127,139,214,219,227],"this":[128,188],"at":[131],"most":[132],"2s.":[133],"Although":[134],"codes,":[147,223,235],"corresponds":[150],"integer":[154,165],"linear":[155,166],"program":[156,167],"characterizes":[158],"Because":[163],"fractional":[171],"relaxation,":[172],"leads":[174],"sphere-packing":[178],"upper":[179],"bound":[180],"We":[184],"take":[185],"advantage":[186],"phenomenon":[189],"by":[190],"optimizing":[191],"across":[192],"obtain":[198],"best":[200],"bound.":[201],"formulation":[203],"includes":[204],"many":[205],"classical":[207],"error":[208,231,238],"models,":[209],"including":[210],"erasures":[211],"substitutions":[213],"q-ary":[215,228],"vectors,":[216],"Hamming":[217],"constant":[220],"weight":[221],"binary":[222],"insertions":[224],"deletions":[226],"strings,":[229],"model":[232,239],"subspace":[234],"compositions,":[241],"various":[243],"models":[245],"permutations.":[247]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}