{"id":"https://openalex.org/W4416707312","doi":"https://doi.org/10.1109/tit.2025.3637683","title":"Asymptotic Improvements to Provable Algorithms for the Code Equivalence Problem","display_name":"Asymptotic Improvements to Provable Algorithms for the Code Equivalence Problem","publication_year":2025,"publication_date":"2025-11-26","ids":{"openalex":"https://openalex.org/W4416707312","doi":"https://doi.org/10.1109/tit.2025.3637683"},"language":null,"primary_location":{"id":"doi:10.1109/tit.2025.3637683","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3637683","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-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/A5047830282","display_name":"Huck Bennett","orcid":"https://orcid.org/0000-0002-5469-8841"},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Huck Bennett","raw_affiliation_strings":["Department of Computer Science, University of Colorado Boulder, Boulder, CO, USA"],"raw_orcid":"https://orcid.org/0000-0002-5469-8841","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Colorado Boulder, Boulder, CO, USA","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066639823","display_name":"D. P. Bhatia","orcid":"https://orcid.org/0009-0005-8010-6976"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Drisana Bhatia","raw_affiliation_strings":["Computer Science Division, University of California Berkeley, Berkeley, CA, USA"],"raw_orcid":"https://orcid.org/0009-0005-8010-6976","affiliations":[{"raw_affiliation_string":"Computer Science Division, University of California Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030566023","display_name":"Jean\u2010Fran\u00e7ois Biasse","orcid":"https://orcid.org/0000-0001-8591-8408"},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jean-Fran\u00e7ois Biasse","raw_affiliation_strings":["Department of Mathematics and Statistics, University of South Florida, Tampa, FL, USA"],"raw_orcid":"https://orcid.org/0000-0001-8591-8408","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of South Florida, Tampa, FL, USA","institution_ids":["https://openalex.org/I2613432"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120072227","display_name":"Medha Durisheti","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Medha Durisheti","raw_affiliation_strings":["Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA"],"raw_orcid":"https://orcid.org/0009-0006-0585-7435","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5120072228","display_name":"Lucas LaBuff","orcid":null},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lucas LaBuff","raw_affiliation_strings":["Department of Computer Science, University of Maryland, College Park, MD, USA"],"raw_orcid":"https://orcid.org/0009-0007-0422-8386","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010029041","display_name":"Vincenzo Pallozzi Lavorante","orcid":"https://orcid.org/0000-0002-8725-5473"},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vincenzo Pallozzi Lavorante","raw_affiliation_strings":["Department of Mathematics and Statistics, University of South Florida, Tampa, FL, USA"],"raw_orcid":"https://orcid.org/0000-0002-8725-5473","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of South Florida, Tampa, FL, USA","institution_ids":["https://openalex.org/I2613432"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5120072229","display_name":"Philip Waitkevich","orcid":null},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Philip Waitkevich","raw_affiliation_strings":["Department of Mathematics and Statistics, University of South Florida, Tampa, FL, USA"],"raw_orcid":"https://orcid.org/0009-0008-6481-2100","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of South Florida, Tampa, FL, USA","institution_ids":["https://openalex.org/I2613432"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5352,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.73251003,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"72","issue":"2","first_page":"1093","last_page":"1108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11005","display_name":"Radiation Effects in Electronics","score":0.15539999306201935,"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/T11005","display_name":"Radiation Effects in Electronics","score":0.15539999306201935,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.11460000276565552,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.10930000245571136,"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/equivalence","display_name":"Equivalence (formal languages)","score":0.629800021648407},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.52920001745224},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.4799000024795532},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4390999972820282},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.3806999921798706},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.3693999946117401},{"id":"https://openalex.org/keywords/deterministic-algorithm","display_name":"Deterministic algorithm","score":0.3671000003814697},{"id":"https://openalex.org/keywords/randomized-algorithm","display_name":"Randomized algorithm","score":0.3449000120162964}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.629800021648407},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6190999746322632},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.52920001745224},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49309998750686646},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.4799000024795532},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4390999972820282},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4262999892234802},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.3806999921798706},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.3693999946117401},{"id":"https://openalex.org/C13533509","wikidata":"https://www.wikidata.org/wiki/Q1064349","display_name":"Deterministic algorithm","level":2,"score":0.3671000003814697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35830000042915344},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34630000591278076},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.3449000120162964},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.33079999685287476},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.32100000977516174},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.32030001282691956},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.31139999628067017},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.30889999866485596},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.29339998960494995},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.2915000021457672},{"id":"https://openalex.org/C3018263672","wikidata":"https://www.wikidata.org/wiki/Q1296251","display_name":"Efficient algorithm","level":2,"score":0.2892000079154968},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.289000004529953},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.27720001339912415},{"id":"https://openalex.org/C131672422","wikidata":"https://www.wikidata.org/wiki/Q852594","display_name":"Provable security","level":3,"score":0.2599000036716461}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3637683","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3637683","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6337345992","display_name":null,"funder_award_id":"2244488","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7086899318","display_name":null,"funder_award_id":"2432132","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8986881313","display_name":null,"funder_award_id":"2342254","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W72398006","https://openalex.org/W1536493828","https://openalex.org/W1589034595","https://openalex.org/W1985709119","https://openalex.org/W2065259180","https://openalex.org/W2082432729","https://openalex.org/W2084652510","https://openalex.org/W2103398070","https://openalex.org/W2107670183","https://openalex.org/W2109371739","https://openalex.org/W2119117325","https://openalex.org/W2156052684","https://openalex.org/W2409645877","https://openalex.org/W2795305715","https://openalex.org/W2943595314","https://openalex.org/W2951311167","https://openalex.org/W2963722886","https://openalex.org/W2990887602","https://openalex.org/W3038403579","https://openalex.org/W3183297888","https://openalex.org/W3203934452","https://openalex.org/W4214903266","https://openalex.org/W4239350281","https://openalex.org/W4292209587","https://openalex.org/W4317928325","https://openalex.org/W4384010644","https://openalex.org/W4386075169","https://openalex.org/W4395688869","https://openalex.org/W4401628799","https://openalex.org/W4405432222","https://openalex.org/W4408238662","https://openalex.org/W4408790784"],"related_works":[],"abstract_inverted_index":{"We":[0],"present":[1],"several":[2],"new":[3],"provable":[4],"algorithms":[5,98,109],"for":[6,32,65,77,91,116],"two":[7,97],"variants":[8],"of":[9,35,103,128],"the":[10,18,25],"code":[11,117],"equivalence":[12,118],"problem":[13],"on":[14,100,119],"linear":[15],"error-correcting":[16],"codes,":[17],"Linear":[19],"Code":[20,27],"Equivalence":[21,28],"Problem":[22,29],"(LCE)":[23],"and":[24,41,79,93,124],"Permutation":[26],"(PCE).":[30],"Specifically,":[31],"arbitrary":[33],"codes":[34,123],"block":[36],"length":[37],"<italic":[38,43,120,130],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[39,44,51,62,74,88,121,131],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>":[40],"dimension":[42],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k</i>":[45],"over":[46,126],"any":[47],"finite":[48],"field":[49],"F<italic":[50],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><sub>q</sub></i>,":[52],"we":[53],"show:":[54],"1)":[55],"A":[56,68,82],"deterministic":[57],"algorithm":[58,70,84],"running":[59,71,85,112],"in":[60,72,86],"2<italic":[61],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><sup>n+o(n+q)</sup></i>":[63],"time":[64,76,90],"LCE.":[66],"2)":[67],"randomized":[69],"2<sup":[73,87],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><i>n/2+o(n+q)</i></sup>":[75],"LCE":[78,92],"PCE.":[80,94],"3)":[81],"quantum":[83],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><i>n/3+o(n+q)</i></sup>":[89],"The":[95],"second":[96],"improve":[99],"recent":[101],"work":[102],"Nowakowski":[104],"(PQCrypto":[105],"2025),":[106],"which":[107],"gave":[108],"with":[110],"similar":[111],"times":[113],"but":[114],"only":[115,125],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">random</i>":[122],"fields":[127],"order":[129],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</i>":[132],"\u2265":[133],"7.":[134]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-11-27T00:00:00"}