{"id":"https://openalex.org/W3121173297","doi":"https://doi.org/10.1109/isit45174.2021.9517729","title":"A Search Method for Large Polarization Kernels","display_name":"A Search Method for Large Polarization Kernels","publication_year":2021,"publication_date":"2021-07-12","ids":{"openalex":"https://openalex.org/W3121173297","doi":"https://doi.org/10.1109/isit45174.2021.9517729","mag":"3121173297"},"language":"en","primary_location":{"id":"doi:10.1109/isit45174.2021.9517729","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517729","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2101.10269","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062106404","display_name":"Grigorii Trofimiuk","orcid":"https://orcid.org/0000-0002-9586-8325"},"institutions":[{"id":"https://openalex.org/I173089394","display_name":"ITMO University","ror":"https://ror.org/04txgxn49","country_code":"RU","type":"education","lineage":["https://openalex.org/I173089394"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Grigorii Trofimiuk","raw_affiliation_strings":["ITMO University,Russia","ITMO University, Russia"],"affiliations":[{"raw_affiliation_string":"ITMO University,Russia","institution_ids":["https://openalex.org/I173089394"]},{"raw_affiliation_string":"ITMO University, Russia","institution_ids":["https://openalex.org/I173089394"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062106404"],"corresponding_institution_ids":["https://openalex.org/I173089394"],"apc_list":null,"apc_paid":null,"fwci":0.32,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58200567,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"2084","last_page":"2089"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9987000226974487,"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":0.9987000226974487,"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":0.9767000079154968,"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/T12042","display_name":"Satellite Communication Systems","score":0.9742000102996826,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/polar","display_name":"Polar","score":0.6638970971107483},{"id":"https://openalex.org/keywords/polarization","display_name":"Polarization (electrochemistry)","score":0.6286229491233826},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5700793862342834},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.5233278274536133},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46565085649490356},{"id":"https://openalex.org/keywords/search-algorithm","display_name":"Search algorithm","score":0.4555460512638092},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.385213166475296},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19643616676330566},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15067094564437866},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.060993582010269165}],"concepts":[{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.6638970971107483},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.6286229491233826},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5700793862342834},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5233278274536133},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46565085649490356},{"id":"https://openalex.org/C125583679","wikidata":"https://www.wikidata.org/wiki/Q755673","display_name":"Search algorithm","level":2,"score":0.4555460512638092},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.385213166475296},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19643616676330566},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15067094564437866},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.060993582010269165},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit45174.2021.9517729","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9517729","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2101.10269","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.10269","pdf_url":"https://arxiv.org/pdf/2101.10269","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"mag:3121173297","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2101.10269v4","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2101.10269","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2101.10269","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2101.10269","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.10269","pdf_url":"https://arxiv.org/pdf/2101.10269","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G406480016","display_name":null,"funder_award_id":"2019\u20130898","funder_id":"https://openalex.org/F4320322733","funder_display_name":"Ministerstwo Edukacji i Nauki"}],"funders":[{"id":"https://openalex.org/F4320322733","display_name":"Ministerstwo Edukacji i Nauki","ror":"https://ror.org/05dwvd537"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3121173297.pdf","grobid_xml":"https://content.openalex.org/works/W3121173297.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1553891758","https://openalex.org/W1591811623","https://openalex.org/W1821505243","https://openalex.org/W1999697648","https://openalex.org/W2025204728","https://openalex.org/W2106045225","https://openalex.org/W2119117325","https://openalex.org/W2145712176","https://openalex.org/W2150498905","https://openalex.org/W2156052684","https://openalex.org/W2169017678","https://openalex.org/W2245941765","https://openalex.org/W2378368070","https://openalex.org/W2807573351","https://openalex.org/W2893525661","https://openalex.org/W2912616608","https://openalex.org/W2963234349","https://openalex.org/W2963449703","https://openalex.org/W2963988569","https://openalex.org/W2974934460","https://openalex.org/W2975023189","https://openalex.org/W2976369658","https://openalex.org/W3006241880","https://openalex.org/W3006559937","https://openalex.org/W3009019627","https://openalex.org/W3014448356","https://openalex.org/W3040058795","https://openalex.org/W3099794497","https://openalex.org/W3102122722","https://openalex.org/W3154127173","https://openalex.org/W3198432530","https://openalex.org/W6766053349","https://openalex.org/W6788381133","https://openalex.org/W6789610982"],"related_works":["https://openalex.org/W1545522745","https://openalex.org/W2614100893","https://openalex.org/W3163275449","https://openalex.org/W2544176167","https://openalex.org/W3201643340","https://openalex.org/W138476454","https://openalex.org/W3206751658","https://openalex.org/W3006312067","https://openalex.org/W2954518557","https://openalex.org/W1982040360","https://openalex.org/W3011647582","https://openalex.org/W2066130115","https://openalex.org/W2259200020","https://openalex.org/W1515737631","https://openalex.org/W3091573376","https://openalex.org/W2999853305","https://openalex.org/W2044450349","https://openalex.org/W2886985401","https://openalex.org/W2323579909","https://openalex.org/W3127730830"],"abstract_inverted_index":{"A":[0],"new":[1],"search":[2,22,28],"method":[3],"for":[4,27,48],"large":[5],"polarization":[6,47],"kernels":[7,49,59,83],"is":[8],"proposed.":[9],"The":[10],"algorithm":[11],"produces":[12],"a":[13],"kernel":[14],"with":[15,24,80,85,92],"given":[16],"partial":[17],"distances":[18],"by":[19,65],"employing":[20],"depth-first":[21],"combined":[23],"some":[25],"methods":[26],"space":[29],"reduction.":[30],"Using":[31],"the":[32,43,66,75,81],"proposed":[33,68,82],"method,":[34],"we":[35],"improved":[36],"almost":[37],"all":[38],"existing":[39],"lower":[40],"bounds":[41],"on":[42],"maximum":[44],"rate":[45],"of":[46,50,77],"size":[51],"from":[52],"17":[53],"to":[54],"27.":[55],"We":[56],"also":[57],"obtained":[58],"which":[60],"admit":[61],"low":[62],"complexity":[63],"processing":[64],"recently":[67],"recursive":[69],"trellis":[70],"algorithm.":[71],"Numerical":[72],"results":[73],"demonstrate":[74],"advantage":[76],"polar":[78,87,90],"codes":[79,88,91],"compared":[84],"shortened":[86],"and":[89],"small":[93],"kernels.":[94]},"counts_by_year":[{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}