{"id":"https://openalex.org/W4415368702","doi":"https://doi.org/10.1109/isit63088.2025.11195615","title":"A Parity-Consistent Decomposition Algorithm to Determine the Weight Distribution of Polar Codes","display_name":"A Parity-Consistent Decomposition Algorithm to Determine the Weight Distribution of Polar Codes","publication_year":2025,"publication_date":"2025-06-22","ids":{"openalex":"https://openalex.org/W4415368702","doi":"https://doi.org/10.1109/isit63088.2025.11195615"},"language":null,"primary_location":{"id":"doi:10.1109/isit63088.2025.11195615","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195615","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 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/A5100654081","display_name":"Yang Liu","orcid":"https://orcid.org/0000-0001-9814-638X"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yang Liu","raw_affiliation_strings":["Ministry of Education Beijing University of Posts and Telecommunications,Key Laboratory of Universal Wireless Communication,Beijing,China"],"affiliations":[{"raw_affiliation_string":"Ministry of Education Beijing University of Posts and Telecommunications,Key Laboratory of Universal Wireless Communication,Beijing,China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051791433","display_name":"Bolin Wu","orcid":"https://orcid.org/0000-0001-7254-4857"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bolin Wu","raw_affiliation_strings":["School of Science, Beijing University of Posts and Telecommunications,Beijing,China"],"affiliations":[{"raw_affiliation_string":"School of Science, Beijing University of Posts and Telecommunications,Beijing,China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048804171","display_name":"Yuxin Han","orcid":"https://orcid.org/0009-0001-1665-0767"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuxin Han","raw_affiliation_strings":["Ministry of Education Beijing University of Posts and Telecommunications,Key Laboratory of Universal Wireless Communication,Beijing,China"],"affiliations":[{"raw_affiliation_string":"Ministry of Education Beijing University of Posts and Telecommunications,Key Laboratory of Universal Wireless Communication,Beijing,China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102758558","display_name":"Kai Niu","orcid":"https://orcid.org/0000-0002-7997-9930"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kai Niu","raw_affiliation_strings":["Ministry of Education Beijing University of Posts and Telecommunications,Key Laboratory of Universal Wireless Communication,Beijing,China"],"affiliations":[{"raw_affiliation_string":"Ministry of Education Beijing University of Posts and Telecommunications,Key Laboratory of Universal Wireless Communication,Beijing,China","institution_ids":["https://openalex.org/I139759216"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100654081"],"corresponding_institution_ids":["https://openalex.org/I139759216"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.31895808,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"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/T10228","display_name":"Multilevel Inverters and Converters","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"}},"topics":[{"id":"https://openalex.org/T10228","display_name":"Multilevel Inverters and Converters","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"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9815999865531921,"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/T11005","display_name":"Radiation Effects in Electronics","score":0.9811000227928162,"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/polar","display_name":"Polar","score":0.8406999707221985},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6736000180244446},{"id":"https://openalex.org/keywords/polar-decomposition","display_name":"Polar decomposition","score":0.5924999713897705},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5449000000953674},{"id":"https://openalex.org/keywords/coset","display_name":"Coset","score":0.45570001006126404},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4553000032901764},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4350999891757965}],"concepts":[{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.8406999707221985},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7253999710083008},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6736000180244446},{"id":"https://openalex.org/C130956294","wikidata":"https://www.wikidata.org/wiki/Q2101158","display_name":"Polar decomposition","level":3,"score":0.5924999713897705},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5562999844551086},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5449000000953674},{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.45570001006126404},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4553000032901764},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4350999891757965},{"id":"https://openalex.org/C2778396592","wikidata":"https://www.wikidata.org/wiki/Q7209069","display_name":"Polar code","level":3,"score":0.40700000524520874},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.40230000019073486},{"id":"https://openalex.org/C25432639","wikidata":"https://www.wikidata.org/wiki/Q3711790","display_name":"Weight distribution","level":2,"score":0.4000999927520752},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.35339999198913574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32249999046325684},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.31790000200271606},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.3025999963283539},{"id":"https://openalex.org/C106516650","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm design","level":2,"score":0.27619999647140503},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.2761000096797943}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit63088.2025.11195615","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195615","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1972808865","https://openalex.org/W1985834029","https://openalex.org/W2150498905","https://openalex.org/W2264554231","https://openalex.org/W2514963767","https://openalex.org/W2756338438","https://openalex.org/W2967196959","https://openalex.org/W3039502556","https://openalex.org/W3047957496","https://openalex.org/W3198322199","https://openalex.org/W4310901950","https://openalex.org/W4319783364","https://openalex.org/W4387011224","https://openalex.org/W4387490729","https://openalex.org/W4391164157","https://openalex.org/W4393406732","https://openalex.org/W4396680462","https://openalex.org/W4401692188"],"related_works":[],"abstract_inverted_index":{"This":[0,48],"paper":[1],"introduces":[2],"a":[3,28,31,65,91],"novel":[4],"parity-consistent":[5],"decomposition":[6,67],"(PCD)":[7],"algorithm":[8,87,112],"for":[9,69],"accurately":[10],"determining":[11],"the":[12,20,51,58,80,96,105,110],"weight":[13],"distribution":[14],"(WD)":[15],"of":[16,30,34,53,79,82,98],"polar":[17,23,35,54,72,83],"codes.":[18,84],"In":[19],"PCD":[21,86,111],"algorithm,":[22],"codes":[24],"are":[25],"represented":[26],"as":[27,44],"union":[29],"new":[32,71],"type":[33],"cosets,":[36],"which":[37,74,94],"avoids":[38],"fixing":[39],"two":[40],"adjacent":[41],"information":[42],"bits":[43],"0":[45],"and":[46],"1.":[47],"representation":[49],"reduces":[50,114],"number":[52],"cosets":[55],"compared":[56],"to":[57],"existing":[59],"automorphism-based":[60,106],"algorithm.":[61],"Furthermore,":[62],"we":[63],"introduce":[64],"recursive":[66,77],"method":[68,107],"this":[70],"coset,":[73],"facilitates":[75,95],"efficient":[76],"computation":[78],"WD":[81],"The":[85],"is":[88],"organized":[89],"within":[90],"tree-like":[92],"structure,":[93],"evaluation":[97],"its":[99],"computational":[100,115],"complexity.":[101,116],"Comparative":[102],"analysis":[103],"with":[104],"demonstrates":[108],"that":[109],"significantly":[113]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-21T00:00:00"}
