{"id":"https://openalex.org/W4393406732","doi":"https://doi.org/10.1109/ciss59072.2024.10480163","title":"Enumeration of Minimum Weight Codewords of Pre-Transformed Polar Codes by Tree Intersection","display_name":"Enumeration of Minimum Weight Codewords of Pre-Transformed Polar Codes by Tree Intersection","publication_year":2024,"publication_date":"2024-03-13","ids":{"openalex":"https://openalex.org/W4393406732","doi":"https://doi.org/10.1109/ciss59072.2024.10480163"},"language":"en","primary_location":{"id":"doi:10.1109/ciss59072.2024.10480163","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss59072.2024.10480163","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 58th Annual Conference on Information Sciences and Systems (CISS)","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/A5083010990","display_name":"Andreas Zunker","orcid":"https://orcid.org/0009-0006-2472-5948"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Andreas Zunker","raw_affiliation_strings":["University of Stuttgart,Institute of Telecommunications,Stuttgart,Germany,70569"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart,Institute of Telecommunications,Stuttgart,Germany,70569","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011764980","display_name":"Marvin Geiselhart","orcid":"https://orcid.org/0000-0001-9055-619X"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Marvin Geiselhart","raw_affiliation_strings":["University of Stuttgart,Institute of Telecommunications,Stuttgart,Germany,70569"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart,Institute of Telecommunications,Stuttgart,Germany,70569","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034116116","display_name":"Stephan ten Brink","orcid":"https://orcid.org/0000-0003-1502-2571"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stephan Ten Brink","raw_affiliation_strings":["University of Stuttgart,Institute of Telecommunications,Stuttgart,Germany,70569"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Stuttgart,Institute of Telecommunications,Stuttgart,Germany,70569","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":null,"apc_paid":null,"fwci":1.5917,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.82368911,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"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/T12029","display_name":"DNA and Biological Computing","score":0.9962000250816345,"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"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9962000250816345,"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":0.994700014591217,"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/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9868999719619751,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.8924919962882996},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.7143471240997314},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6176292896270752},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.5351117253303528},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.522312343120575},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46704214811325073},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40434321761131287},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.349882572889328},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.09637892246246338},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08300355076789856}],"concepts":[{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.8924919962882996},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7143471240997314},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6176292896270752},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.5351117253303528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.522312343120575},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46704214811325073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40434321761131287},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.349882572889328},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.09637892246246338},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08300355076789856},{"id":"https://openalex.org/C58640448","wikidata":"https://www.wikidata.org/wiki/Q42515","display_name":"Cartography","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ciss59072.2024.10480163","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss59072.2024.10480163","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 58th Annual Conference on Information Sciences and Systems (CISS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.550000011920929}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321408","display_name":"Ministry of Education","ror":"https://ror.org/01p262204"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W2106045225","https://openalex.org/W2150498905","https://openalex.org/W2264554231","https://openalex.org/W2963710189","https://openalex.org/W2969835263","https://openalex.org/W3037975779","https://openalex.org/W3198171271","https://openalex.org/W3198322199","https://openalex.org/W4295308639","https://openalex.org/W4386072353","https://openalex.org/W4386590112","https://openalex.org/W4387011224","https://openalex.org/W4387490729","https://openalex.org/W4389218030","https://openalex.org/W4394657326","https://openalex.org/W6855136674","https://openalex.org/W6858993899"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W3042106073","https://openalex.org/W2143566611","https://openalex.org/W588267724","https://openalex.org/W2057205169","https://openalex.org/W931334744","https://openalex.org/W2782899930"],"abstract_inverted_index":{"Pre-transformed":[0],"polar":[1],"codes":[2,8,111,124],"(PTPCs)":[3],"form":[4],"a":[5],"class":[6],"of":[7,23,46,50,60,73,100,131],"that":[9,53],"perform":[10],"close":[11],"to":[12,58,76,92],"the":[13,21,44,61,66,85,88,97,129],"finite-length":[14],"capacity":[15],"bounds.":[16],"The":[17,102],"minimum":[18,24,47,89,132],"distance":[19,90],"and":[20,112],"number":[22,45,130],"weight":[25,48,133],"codewords":[26,49],"are":[27],"two":[28],"decisive":[29],"properties":[30,91],"for":[31,42,84,106,122],"their":[32],"performance.":[33],"In":[34],"this":[35,126],"work,":[36],"we":[37,118],"propose":[38],"an":[39],"efficient":[40],"algorithm":[41,103],"determining":[43],"general":[51],"PTPCs":[52],"eliminates":[54],"all":[55],"redundant":[56],"visits":[57],"nodes":[59],"search":[62],"tree,":[63],"thus":[64],"reducing":[65],"computational":[67],"complexity":[68,82],"typically":[69],"by":[70],"several":[71],"orders":[72],"magnitude":[74],"compared":[75],"state-of-the-art":[77],"algorithms.":[78],"This":[79],"reduction":[80],"in":[81,96],"allows,":[83],"first":[86],"time,":[87],"be":[93],"directly":[94],"considered":[95],"code":[98],"design":[99,119],"PTPCs.":[101],"is":[104],"demonstrated":[105],"randomly":[107],"pre-transformed":[108],"Reed-Muller":[109],"(RM)":[110],"polarization-adjusted":[113],"convolutional":[114],"(PAC)":[115],"codes.":[116],"Furthermore,":[117],"optimal":[120],"polynomials":[121],"PAC":[123],"with":[125],"algorithm,":[127],"minimizing":[128],"codewords.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}