{"id":"https://openalex.org/W2086854128","doi":"https://doi.org/10.1109/ciss.2014.6814146","title":"Polynomial complexity of polar codes for non-binary alphabets, key agreement and Slepian-Wolf coding","display_name":"Polynomial complexity of polar codes for non-binary alphabets, key agreement and Slepian-Wolf coding","publication_year":2014,"publication_date":"2014-03-01","ids":{"openalex":"https://openalex.org/W2086854128","doi":"https://doi.org/10.1109/ciss.2014.6814146","mag":"2086854128"},"language":"en","primary_location":{"id":"doi:10.1109/ciss.2014.6814146","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2014.6814146","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 48th Annual Conference on Information Sciences and Systems (CISS)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1405.0776","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100383868","display_name":"Jingbo Liu","orcid":"https://orcid.org/0000-0001-5637-5264"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jingbo Liu","raw_affiliation_strings":["Dept. of Electrical Eng., Princeton University, NJ","Department of Electrical Engineering, Princeton University, NJ 08544, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Eng., Princeton University, NJ","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055776312","display_name":"Emmanuel Abb\u00e9","orcid":"https://orcid.org/0000-0002-1831-656X"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Emmanuel Abbe","raw_affiliation_strings":["Dept. of Electrical Eng., Princeton University, NJ","Department of Electrical Engineering, Princeton University, NJ 08544, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Eng., Princeton University, NJ","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100383868"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":0.4255,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69461954,"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":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9995999932289124,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5773882865905762},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5362239480018616},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5105139017105103},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.508126974105835},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.47429755330085754},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4737204909324646},{"id":"https://openalex.org/keywords/conditional-entropy","display_name":"Conditional entropy","score":0.46423760056495667},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4588705897331238},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.43860766291618347},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42723196744918823},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41727888584136963},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1452237367630005},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09190571308135986},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.08182290196418762}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5773882865905762},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5362239480018616},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5105139017105103},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.508126974105835},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.47429755330085754},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4737204909324646},{"id":"https://openalex.org/C101721835","wikidata":"https://www.wikidata.org/wiki/Q813908","display_name":"Conditional entropy","level":3,"score":0.46423760056495667},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4588705897331238},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.43860766291618347},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42723196744918823},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41727888584136963},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1452237367630005},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09190571308135986},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.08182290196418762},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ciss.2014.6814146","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2014.6814146","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 48th Annual Conference on Information Sciences and Systems (CISS)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1405.0776","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.0776","pdf_url":"https://arxiv.org/pdf/1405.0776","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1405.0776","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.0776","pdf_url":"https://arxiv.org/pdf/1405.0776","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Quality Education","score":0.6399999856948853,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1974625122","https://openalex.org/W1997137361","https://openalex.org/W2055534149","https://openalex.org/W2070259813","https://openalex.org/W2077246889","https://openalex.org/W2091402479","https://openalex.org/W2098245138","https://openalex.org/W2099213070","https://openalex.org/W2105667172","https://openalex.org/W2107211662","https://openalex.org/W2142252806","https://openalex.org/W2150498905","https://openalex.org/W2157848243","https://openalex.org/W2185328402","https://openalex.org/W2952954835","https://openalex.org/W2964260646","https://openalex.org/W2964312190","https://openalex.org/W3037524284","https://openalex.org/W3099238576","https://openalex.org/W3099516920","https://openalex.org/W3099720503","https://openalex.org/W3152404023","https://openalex.org/W4205483176"],"related_works":["https://openalex.org/W2075237332","https://openalex.org/W2061278088","https://openalex.org/W1550757207","https://openalex.org/W2003770568","https://openalex.org/W1628532628","https://openalex.org/W2163103544","https://openalex.org/W3039080452","https://openalex.org/W2186435021","https://openalex.org/W2529337095","https://openalex.org/W2889544313"],"abstract_inverted_index":{"We":[0],"consider":[1],"polar":[2],"codes":[3],"for":[4,69,105],"memoryless":[5],"sources":[6,62],"with":[7,63,89,115],"side":[8],"information":[9,108],"and":[10,17,35,46,71,74,78],"show":[11],"that":[12],"the":[13,26,29,32,36,41,86,92],"blocklength,":[14],"construction,":[15],"encoding":[16],"decoding":[18],"complexities":[19],"are":[20],"bounded":[21],"by":[22],"a":[23,49],"polynomial":[24,118],"of":[25,28,44,83,94],"reciprocal":[27],"gap":[30],"between":[31],"compression":[33],"rate":[34],"conditional":[37],"entropy.":[38],"This":[39],"extends":[40],"recent":[42],"results":[43],"Guruswami":[45],"Xia":[47],"to":[48,60,91],"slightly":[50],"more":[51],"general":[52],"setting,":[53],"which":[54,111],"in":[55],"turn":[56],"can":[57],"be":[58],"applied":[59],"(1)":[61],"non-binary":[64],"alphabets,":[65],"(2)":[66],"key":[67],"generation":[68],"discrete":[70],"Gaussian":[72],"sources,":[73],"(3)":[75],"Slepian-Wolf":[76],"coding":[77,103],"multiple":[79],"accessing.":[80],"In":[81,99],"each":[82],"these":[84,106],"cases,":[85],"complexity":[87],"scaling":[88],"respect":[90],"number":[93],"users":[95],"is":[96],"also":[97],"controlled.":[98],"particular,":[100],"we":[101],"construct":[102],"schemes":[104],"multi-user":[107],"theory":[109],"problems":[110],"achieve":[112],"optimal":[113],"rates":[114],"an":[116],"overall":[117],"complexity.":[119]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-06-24T00:00:00"}