{"id":"https://openalex.org/W1970144139","doi":"https://doi.org/10.1007/s10623-013-9892-6","title":"Hardness of learning problems over Burnside groups of exponent 3","display_name":"Hardness of learning problems over Burnside groups of exponent 3","publication_year":2013,"publication_date":"2013-10-25","ids":{"openalex":"https://openalex.org/W1970144139","doi":"https://doi.org/10.1007/s10623-013-9892-6","mag":"1970144139"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-013-9892-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-013-9892-6","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5028509574","display_name":"Nelly Fazio","orcid":"https://orcid.org/0009-0000-8690-4112"},"institutions":[{"id":"https://openalex.org/I125687163","display_name":"City College of New York","ror":"https://ror.org/00wmhkr98","country_code":"US","type":"education","lineage":["https://openalex.org/I125687163"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nelly Fazio","raw_affiliation_strings":["The City College of CUNY, New York, NY, USA","The City College of CUNY, New York, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"The City College of CUNY, New York, NY, USA","institution_ids":["https://openalex.org/I125687163"]},{"raw_affiliation_string":"The City College of CUNY, New York, USA#TAB#","institution_ids":["https://openalex.org/I125687163"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043257245","display_name":"Kevin Iga","orcid":"https://orcid.org/0000-0003-0732-5644"},"institutions":[{"id":"https://openalex.org/I100191712","display_name":"Pepperdine University","ror":"https://ror.org/0529ybh43","country_code":"US","type":"education","lineage":["https://openalex.org/I100191712"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kevin Iga","raw_affiliation_strings":["Pepperdine University, Malibu, CA, USA","Pepperdine University, Malibu, USA"],"affiliations":[{"raw_affiliation_string":"Pepperdine University, Malibu, CA, USA","institution_ids":["https://openalex.org/I100191712"]},{"raw_affiliation_string":"Pepperdine University, Malibu, USA","institution_ids":["https://openalex.org/I100191712"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061813417","display_name":"Antonio Nicolosi","orcid":"https://orcid.org/0009-0002-6817-953X"},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Antonio R. Nicolosi","raw_affiliation_strings":["Stevens Institute of Technology, Hoboken, NJ, USA","Stevens Institute of Technology; Hoboken USA"],"affiliations":[{"raw_affiliation_string":"Stevens Institute of Technology, Hoboken, NJ, USA","institution_ids":["https://openalex.org/I108468826"]},{"raw_affiliation_string":"Stevens Institute of Technology; Hoboken USA","institution_ids":["https://openalex.org/I108468826"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109009110","display_name":"Ludovic Perret","orcid":null},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ludovic Perret","raw_affiliation_strings":["PolSys project, LIP6, CNRS, INRIA Paris-Rocquencourt Center, UPMC Univ Paris 06, Paris, France","PolSys project, LIP6, CNRS, INRIA Paris-Rocquencourt Center, UPMC Univ Paris 06, Paris, France#TAB#"],"affiliations":[{"raw_affiliation_string":"PolSys project, LIP6, CNRS, INRIA Paris-Rocquencourt Center, UPMC Univ Paris 06, Paris, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I39804081","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"PolSys project, LIP6, CNRS, INRIA Paris-Rocquencourt Center, UPMC Univ Paris 06, Paris, France#TAB#","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I1326498283","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048668638","display_name":"William E. Skeith","orcid":null},"institutions":[{"id":"https://openalex.org/I125687163","display_name":"City College of New York","ror":"https://ror.org/00wmhkr98","country_code":"US","type":"education","lineage":["https://openalex.org/I125687163"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William E. Skeith","raw_affiliation_strings":["The City College of CUNY, New York, NY, USA","The City College of CUNY, New York, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"The City College of CUNY, New York, NY, USA","institution_ids":["https://openalex.org/I125687163"]},{"raw_affiliation_string":"The City College of CUNY, New York, USA#TAB#","institution_ids":["https://openalex.org/I125687163"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5028509574"],"corresponding_institution_ids":["https://openalex.org/I125687163"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4977,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.75034528,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"75","issue":"1","first_page":"59","last_page":"70"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9775000214576721,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.8319176435470581},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7423064708709717},{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.7332185506820679},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6408964395523071},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.5258567929267883},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4422970116138458},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4109684228897095},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37503543496131897},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13673508167266846},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08267217874526978},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05182814598083496}],"concepts":[{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.8319176435470581},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7423064708709717},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.7332185506820679},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6408964395523071},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.5258567929267883},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4422970116138458},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4109684228897095},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37503543496131897},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13673508167266846},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08267217874526978},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05182814598083496},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10623-013-9892-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-013-9892-6","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.724.1969","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.724.1969","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-cs.ccny.cuny.edu/%7Efazio/pubs/FINPS13.pdf","raw_type":"text"}],"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/F4320309102","display_name":"City University of New York","ror":"https://ror.org/00453a208"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320338295","display_name":"Army Research Laboratory","ror":"https://ror.org/011hc8f90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W79002783","https://openalex.org/W1510024482","https://openalex.org/W1594962164","https://openalex.org/W1596720500","https://openalex.org/W1607280525","https://openalex.org/W1760474993","https://openalex.org/W1970606468","https://openalex.org/W1996839061","https://openalex.org/W2023906228","https://openalex.org/W2027528470","https://openalex.org/W2058785578","https://openalex.org/W2061949491","https://openalex.org/W2065151783","https://openalex.org/W2072631813","https://openalex.org/W2098290658","https://openalex.org/W2107189314","https://openalex.org/W2111824166","https://openalex.org/W2153525410"],"related_works":["https://openalex.org/W4308159138","https://openalex.org/W1979798674","https://openalex.org/W3169947911","https://openalex.org/W4327811209","https://openalex.org/W3037616202","https://openalex.org/W2963079901","https://openalex.org/W390508480","https://openalex.org/W2375240985","https://openalex.org/W2087709123","https://openalex.org/W3214451060"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
