{"id":"https://openalex.org/W2514963767","doi":"https://doi.org/10.1109/isit.2016.7541293","title":"A partial order for the synthesized channels of a polar code","display_name":"A partial order for the synthesized channels of a polar code","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2514963767","doi":"https://doi.org/10.1109/isit.2016.7541293","mag":"2514963767"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2016.7541293","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541293","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","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/A5056479485","display_name":"Christian Sch\u00fcrch","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Christian Sch\u00fcrch","raw_affiliation_strings":["ETH Zurich, Switzerland","ETH Zurich"],"affiliations":[{"raw_affiliation_string":"ETH Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]},{"raw_affiliation_string":"ETH Zurich","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056479485"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":12.7535,"has_fulltext":false,"cited_by_count":135,"citation_normalized_percentile":{"value":0.98823048,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"220","last_page":"224"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9987999796867371,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9973000288009644,"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/code","display_name":"Code (set theory)","score":0.5655157566070557},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5559160709381104},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4283093214035034},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3655858635902405},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3623088300228119},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33693909645080566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23471570014953613},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11649361252784729},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10938230156898499}],"concepts":[{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5655157566070557},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5559160709381104},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4283093214035034},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3655858635902405},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3623088300228119},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33693909645080566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23471570014953613},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11649361252784729},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10938230156898499},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2016.7541293","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541293","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","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":15,"referenced_works":["https://openalex.org/W1981735015","https://openalex.org/W2093397547","https://openalex.org/W2101067964","https://openalex.org/W2139784773","https://openalex.org/W2150498905","https://openalex.org/W2161541170","https://openalex.org/W2164368671","https://openalex.org/W2164978421","https://openalex.org/W2264554231","https://openalex.org/W2273218125","https://openalex.org/W2478708596","https://openalex.org/W2575414969","https://openalex.org/W2963710189","https://openalex.org/W6680597225","https://openalex.org/W6694453201"],"related_works":["https://openalex.org/W2373724792","https://openalex.org/W3204597924","https://openalex.org/W2386767533","https://openalex.org/W2281360585","https://openalex.org/W2160620982","https://openalex.org/W2060012464","https://openalex.org/W1522602455","https://openalex.org/W2084957735","https://openalex.org/W1975860297","https://openalex.org/W4255567883"],"abstract_inverted_index":{"A":[0],"partial":[1,30,84,91,98,118],"order":[2,31,92,99,119],"for":[3],"the":[4,24,35,72,83,86,101],"synthesized":[5],"channels":[6],"W":[7,38,49],"<sub":[8,39,50],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[9,12,40,43,51,54],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N</sub>":[10,41,52],"<sup":[11,42,53],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">(i)</sup>":[13,55],"of":[14,23,75,82,107,127],"a":[15,62,67],"polar":[16,128],"code":[17,125],"is":[18,21,32,45,58,93,104],"presented":[19],"that":[20,37,103],"independent":[22,106],"underlying":[25],"binary-input":[26],"channel":[27],"W.":[28,108],"The":[29,90],"based":[33],"on":[34,114],"observation":[36],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">(j)</sup>":[44],"stochastically":[46],"degraded":[47],"to":[48,123],"if":[56],"j":[57],"obtained":[59],"by":[60],"swapping":[61],"more":[63],"significant":[64,69],"1":[65],"with":[66,96],"less":[68],"0":[70],"in":[71],"binary":[73],"expansion":[74],"i.":[76],"We":[77],"derive":[78],"an":[79],"efficient":[80],"representation":[81],"order,":[85],"so-called":[87],"covering":[88],"relation.":[89],"then":[94],"combined":[95,117],"another":[97],"from":[100],"literature":[102],"also":[105],"Finally,":[109],"we":[110],"give":[111],"some":[112],"remarks":[113],"how":[115],"this":[116],"can":[120],"be":[121],"used":[122],"simplify":[124],"construction":[126],"codes.":[129]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":17},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":18},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":21},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-27T14:29:43.386196","created_date":"2025-10-10T00:00:00"}
