{"id":"https://openalex.org/W2097802496","doi":"https://doi.org/10.1145/1145768.1145822","title":"A block Wiedemann rank algorithm","display_name":"A block Wiedemann rank algorithm","publication_year":2006,"publication_date":"2006-07-09","ids":{"openalex":"https://openalex.org/W2097802496","doi":"https://doi.org/10.1145/1145768.1145822","mag":"2097802496"},"language":"en","primary_location":{"id":"doi:10.1145/1145768.1145822","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1145768.1145822","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2006 international symposium on Symbolic and algebraic computation","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/A5002705303","display_name":"William J. Turner","orcid":null},"institutions":[{"id":"https://openalex.org/I24511612","display_name":"Wabash College","ror":"https://ror.org/00p11pk44","country_code":"US","type":"education","lineage":["https://openalex.org/I24511612"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"William J. Turner","raw_affiliation_strings":["Wabash College, Crawfordsville, IN"],"affiliations":[{"raw_affiliation_string":"Wabash College, Crawfordsville, IN","institution_ids":["https://openalex.org/I24511612"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002705303"],"corresponding_institution_ids":["https://openalex.org/I24511612"],"apc_list":null,"apc_paid":null,"fwci":0.981,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.76646846,"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":"332","last_page":"339"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6550430059432983},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6514129042625427},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5805053114891052},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5623830556869507},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5501089096069336},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5043128728866577},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35912179946899414},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.21471458673477173},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19672638177871704}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6550430059432983},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6514129042625427},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5805053114891052},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5623830556869507},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5501089096069336},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5043128728866577},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35912179946899414},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.21471458673477173},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19672638177871704},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1145768.1145822","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1145768.1145822","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2006 international symposium on Symbolic and algebraic computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310444","display_name":"Wabash College","ror":"https://ror.org/00p11pk44"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W131514193","https://openalex.org/W778557674","https://openalex.org/W1502124338","https://openalex.org/W1562183207","https://openalex.org/W1599026900","https://openalex.org/W1605088207","https://openalex.org/W1993840452","https://openalex.org/W1998079848","https://openalex.org/W2000520486","https://openalex.org/W2018818965","https://openalex.org/W2026317840","https://openalex.org/W2032080903","https://openalex.org/W2037473778","https://openalex.org/W2056622404","https://openalex.org/W2057341276","https://openalex.org/W2059454546","https://openalex.org/W2068038816","https://openalex.org/W2071483197","https://openalex.org/W2080132708","https://openalex.org/W2113672208","https://openalex.org/W2149623001","https://openalex.org/W2161330625","https://openalex.org/W2171640788","https://openalex.org/W2327732228","https://openalex.org/W4250835057","https://openalex.org/W6701493093"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2186864281","https://openalex.org/W2365701604","https://openalex.org/W2361403716","https://openalex.org/W2904061867","https://openalex.org/W4289115725","https://openalex.org/W2967798957","https://openalex.org/W3144644423","https://openalex.org/W2024384195"],"abstract_inverted_index":{"This":[0],"paper":[1],"makes":[2],"two":[3],"contributions":[4],"to":[5,12,35],"block":[6,31],"Wiedemann":[7],"algorithms.":[8],"We":[9],"describe":[10],"how":[11],"compute":[13,36],"the":[14,49],"minimal":[15],"generating":[16],"matrix":[17,42,53],"polynomial":[18],"using":[19],"Beckermann":[20],"and":[21,27],"Labahn's":[22],"Fast":[23],"Power":[24],"Hermite-Pad\u00e9":[25],"Solver,":[26],"we":[28],"develop":[29],"a":[30,39,44],"Monte":[32],"Carlo":[33],"method":[34],"rank":[37,54],"of":[38],"black":[40,51],"box":[41,52],"over":[43],"large":[45],"field":[46],"by":[47],"extending":[48],"Kaltofen-Saunders":[50],"algorithm.":[55]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
