{"id":"https://openalex.org/W2964149704","doi":"https://doi.org/10.1142/s0218196720500216","title":"Computing skew left braces of small orders","display_name":"Computing skew left braces of small orders","publication_year":2019,"publication_date":"2019-12-23","ids":{"openalex":"https://openalex.org/W2964149704","doi":"https://doi.org/10.1142/s0218196720500216","mag":"2964149704"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196720500216","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196720500216","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1907.08978","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110723055","display_name":"Valeriy G. Bardakov","orcid":null},"institutions":[{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]},{"id":"https://openalex.org/I3133424061","display_name":"Novosibirsk State Agricultural University","ror":"https://ror.org/01hgeey64","country_code":"RU","type":"education","lineage":["https://openalex.org/I3133424061"]},{"id":"https://openalex.org/I35409948","display_name":"Harish-Chandra Research Institute","ror":"https://ror.org/0165d9303","country_code":"IN","type":"education","lineage":["https://openalex.org/I35409948"]},{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]}],"countries":["IN","RU"],"is_corresponding":true,"raw_author_name":"Valeriy G. Bardakov","raw_affiliation_strings":["Novosibirsk State Agrarian University, Dobrolyubova Street, 160, Novosibirsk 630039, Russia","Sobolev Institute of Mathematics and Novosibirsk State University, Novosibirsk 630090, Russia","Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad-211 019, India","Sobolev Institute of Mathematics, pr. ak. Koptyuga 4, Novosibirsk, 630090, Russia and Novosibirsk State University, Novosibirsk, 630090, Russia"],"affiliations":[{"raw_affiliation_string":"Novosibirsk State Agrarian University, Dobrolyubova Street, 160, Novosibirsk 630039, Russia","institution_ids":["https://openalex.org/I3133424061"]},{"raw_affiliation_string":"Sobolev Institute of Mathematics and Novosibirsk State University, Novosibirsk 630090, Russia","institution_ids":["https://openalex.org/I4210096862","https://openalex.org/I188973947"]},{"raw_affiliation_string":"Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad-211 019, India","institution_ids":["https://openalex.org/I35409948"]},{"raw_affiliation_string":"Sobolev Institute of Mathematics, pr. ak. Koptyuga 4, Novosibirsk, 630090, Russia and Novosibirsk State University, Novosibirsk, 630090, Russia","institution_ids":["https://openalex.org/I4210096862","https://openalex.org/I188973947"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067016070","display_name":"\u041c. \u0412. \u041d\u0435\u0449\u0430\u0434\u0438\u043c","orcid":"https://orcid.org/0000-0002-9463-7496"},"institutions":[{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]},{"id":"https://openalex.org/I35409948","display_name":"Harish-Chandra Research Institute","ror":"https://ror.org/0165d9303","country_code":"IN","type":"education","lineage":["https://openalex.org/I35409948"]},{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]}],"countries":["IN","RU"],"is_corresponding":false,"raw_author_name":"Mikhail V. Neshchadim","raw_affiliation_strings":["Sobolev Institute of Mathematics and Novosibirsk State University, Novosibirsk 630090, Russia","Sobolev Institute of Mathematics, pr. ak. Koptyuga 4, Novosibirsk, 630090, Russia and Novosibirsk State University, Novosibirsk, 630090, Russia","Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad-211 019, India"],"affiliations":[{"raw_affiliation_string":"Sobolev Institute of Mathematics and Novosibirsk State University, Novosibirsk 630090, Russia","institution_ids":["https://openalex.org/I4210096862","https://openalex.org/I188973947"]},{"raw_affiliation_string":"Sobolev Institute of Mathematics, pr. ak. Koptyuga 4, Novosibirsk, 630090, Russia and Novosibirsk State University, Novosibirsk, 630090, Russia","institution_ids":["https://openalex.org/I4210096862","https://openalex.org/I188973947"]},{"raw_affiliation_string":"Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad-211 019, India","institution_ids":["https://openalex.org/I35409948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033205784","display_name":"Manoj K. Yadav","orcid":"https://orcid.org/0000-0001-5052-3895"},"institutions":[{"id":"https://openalex.org/I35409948","display_name":"Harish-Chandra Research Institute","ror":"https://ror.org/0165d9303","country_code":"IN","type":"education","lineage":["https://openalex.org/I35409948"]},{"id":"https://openalex.org/I4210096862","display_name":"Sobolev Institute of Mathematics","ror":"https://ror.org/00shc0s02","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I1313323035","https://openalex.org/I4210096862","https://openalex.org/I4210124601","https://openalex.org/I4210127387"]},{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]}],"countries":["IN","RU"],"is_corresponding":false,"raw_author_name":"Manoj K. Yadav","raw_affiliation_strings":["Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad-211 019, India","Sobolev Institute of Mathematics, pr. ak. Koptyuga 4, Novosibirsk, 630090, Russia and Novosibirsk State University, Novosibirsk, 630090, Russia"],"affiliations":[{"raw_affiliation_string":"Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad-211 019, India","institution_ids":["https://openalex.org/I35409948"]},{"raw_affiliation_string":"Sobolev Institute of Mathematics, pr. ak. Koptyuga 4, Novosibirsk, 630090, Russia and Novosibirsk State University, Novosibirsk, 630090, Russia","institution_ids":["https://openalex.org/I4210096862","https://openalex.org/I188973947"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110723055"],"corresponding_institution_ids":["https://openalex.org/I188973947","https://openalex.org/I3133424061","https://openalex.org/I35409948","https://openalex.org/I4210096862"],"apc_list":null,"apc_paid":null,"fwci":1.4466,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.867598,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"30","issue":"04","first_page":"839","last_page":"851"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9994999766349792,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9987000226974487,"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/skew","display_name":"Skew","score":0.9338305592536926},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7842725515365601},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4490419924259186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16521459817886353},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.03804576396942139}],"concepts":[{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.9338305592536926},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7842725515365601},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4490419924259186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16521459817886353},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.03804576396942139}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196720500216","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196720500216","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1907.08978","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.08978","pdf_url":"https://arxiv.org/pdf/1907.08978","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1907.08978","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.08978","pdf_url":"https://arxiv.org/pdf/1907.08978","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W245683260","https://openalex.org/W1539837196","https://openalex.org/W1793020813","https://openalex.org/W1976677460","https://openalex.org/W2007152098","https://openalex.org/W2079188442","https://openalex.org/W2118905382","https://openalex.org/W2170853108","https://openalex.org/W2302011925","https://openalex.org/W2529390185","https://openalex.org/W2795116828","https://openalex.org/W2795964142","https://openalex.org/W2806737788","https://openalex.org/W2963154383","https://openalex.org/W2963308398","https://openalex.org/W2963834791","https://openalex.org/W2963945370","https://openalex.org/W2964320978","https://openalex.org/W2999587103","https://openalex.org/W3102070892","https://openalex.org/W3102784220","https://openalex.org/W3195657869","https://openalex.org/W4394665401"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4290802965","https://openalex.org/W1979597421","https://openalex.org/W97789383","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"We":[0],"improve":[1],"Algorithm":[2],"5.1":[3],"of":[4,25],"[Math.":[5],"Comp.":[6],"86":[7],"(2017)":[8],"2519\u20132534]":[9],"for":[10,41],"computing":[11],"all":[12],"nonisomorphic":[13],"skew":[14,22],"left":[15,19,23],"braces,":[16],"and":[17,21],"enumerate":[18],"braces":[20,24],"orders":[26],"up":[27],"to":[28],"868":[29],"with":[30],"some":[31,39],"exceptions.":[32],"Using":[33],"the":[34],"enumerated":[35],"data,":[36],"we":[37],"state":[38],"conjectures":[40],"further":[42],"research.":[43]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}