{"id":"https://openalex.org/W2024506621","doi":"https://doi.org/10.1515/gcc-2012-0002","title":"Evolutionary algorithm solution of the multiple conjugacy search problem in groups, and its applications to cryptography","display_name":"Evolutionary algorithm solution of the multiple conjugacy search problem in groups, and its applications to cryptography","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2024506621","doi":"https://doi.org/10.1515/gcc-2012-0002","mag":"2024506621"},"language":"en","primary_location":{"id":"doi:10.1515/gcc-2012-0002","is_oa":false,"landing_page_url":"https://doi.org/10.1515/gcc-2012-0002","pdf_url":null,"source":{"id":"https://openalex.org/S4210228216","display_name":"journal of Groups complexity cryptology","issn_l":"1867-1144","issn":["1867-1144","1869-6104"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310321880","host_organization_name":"\u00c9pisciences.org","host_organization_lineage":["https://openalex.org/P4310321880"],"host_organization_lineage_names":["\u00c9pisciences.org"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Groups - Complexity - Cryptology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"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/A5070682430","display_name":"Matthew J. Craven","orcid":"https://orcid.org/0000-0001-9522-6173"},"institutions":[{"id":"https://openalex.org/I877506347","display_name":"Abertay University","ror":"https://ror.org/04mwwnx67","country_code":"GB","type":"education","lineage":["https://openalex.org/I877506347"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Matthew J. Craven","raw_affiliation_strings":["School of Computing and Engineering Systems, University of Abertay, Bell Street, Dundee, UK"],"affiliations":[{"raw_affiliation_string":"School of Computing and Engineering Systems, University of Abertay, Bell Street, Dundee, UK","institution_ids":["https://openalex.org/I877506347"]}]},{"author_position":"last","author":{"id":null,"display_name":"Henri C. Jimbo","orcid":null},"institutions":[{"id":"https://openalex.org/I75917431","display_name":"Nara Institute of Science and Technology","ror":"https://ror.org/05bhada84","country_code":"JP","type":"education","lineage":["https://openalex.org/I75917431"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Henri C. Jimbo","raw_affiliation_strings":["GCOE Research Group, NAIST, Ikoma, 8916-5 Takayama, 630-0192 Nara, Japan"],"affiliations":[{"raw_affiliation_string":"GCOE Research Group, NAIST, Ikoma, 8916-5 Takayama, 630-0192 Nara, Japan","institution_ids":["https://openalex.org/I75917431"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070682430"],"corresponding_institution_ids":["https://openalex.org/I877506347"],"apc_list":null,"apc_paid":null,"fwci":1.498,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.83779484,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"4","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9821000099182129,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9821000099182129,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9648000001907349,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjugacy-class","display_name":"Conjugacy class","score":0.6898680329322815},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6485063433647156},{"id":"https://openalex.org/keywords/search-problem","display_name":"Search problem","score":0.576825737953186},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5673488974571228},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5170672535896301},{"id":"https://openalex.org/keywords/conjugacy-problem","display_name":"Conjugacy problem","score":0.5155465602874756},{"id":"https://openalex.org/keywords/braid-group","display_name":"Braid group","score":0.49875378608703613},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4619064927101135},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.454990029335022},{"id":"https://openalex.org/keywords/search-algorithm","display_name":"Search algorithm","score":0.44820690155029297},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.44743508100509644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2775427997112274},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.25992947816848755},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16234135627746582}],"concepts":[{"id":"https://openalex.org/C87945829","wikidata":"https://www.wikidata.org/wiki/Q1353233","display_name":"Conjugacy class","level":2,"score":0.6898680329322815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6485063433647156},{"id":"https://openalex.org/C201789804","wikidata":"https://www.wikidata.org/wiki/Q2362762","display_name":"Search problem","level":2,"score":0.576825737953186},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5673488974571228},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5170672535896301},{"id":"https://openalex.org/C2780526409","wikidata":"https://www.wikidata.org/wiki/Q5161137","display_name":"Conjugacy problem","level":3,"score":0.5155465602874756},{"id":"https://openalex.org/C33840335","wikidata":"https://www.wikidata.org/wiki/Q220409","display_name":"Braid group","level":2,"score":0.49875378608703613},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4619064927101135},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.454990029335022},{"id":"https://openalex.org/C125583679","wikidata":"https://www.wikidata.org/wiki/Q755673","display_name":"Search algorithm","level":2,"score":0.44820690155029297},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.44743508100509644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2775427997112274},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25992947816848755},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16234135627746582},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/gcc-2012-0002","is_oa":false,"landing_page_url":"https://doi.org/10.1515/gcc-2012-0002","pdf_url":null,"source":{"id":"https://openalex.org/S4210228216","display_name":"journal of Groups complexity cryptology","issn_l":"1867-1144","issn":["1867-1144","1869-6104"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310321880","host_organization_name":"\u00c9pisciences.org","host_organization_lineage":["https://openalex.org/P4310321880"],"host_organization_lineage_names":["\u00c9pisciences.org"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Groups - Complexity - Cryptology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W183175452","https://openalex.org/W2949986374","https://openalex.org/W4300444073","https://openalex.org/W2503299372","https://openalex.org/W4308633456","https://openalex.org/W2367771436","https://openalex.org/W1600876779","https://openalex.org/W2374181441","https://openalex.org/W2382373220","https://openalex.org/W2550213351"],"abstract_inverted_index":{"We":[0,27,95],"consider":[1,122],"the":[2,34,47,57,65,84,90,125,135],"multiple":[3,66],"conjugacy":[4,59,67],"search":[5,60,68],"problem":[6,61,69,79,91],"over":[7,33],"a":[8,19,24],"subclass":[9],"of":[10,31,42,77,115,124,137],"partially":[11],"commutative":[12],"groups":[13,107,117],"and":[14,86],"experimentally":[15],"attack":[16,126],"it":[17],"with":[18,23,103],"genetic":[20],"algorithm":[21,49,98],"hybridised":[22],"\u201clength":[25],"attack\u201d.":[26],"detail":[28],"symbolic":[29],"computation":[30],"words":[32],"groups,":[35],"constructing":[36],"functions":[37],"which":[38],"measure":[39],"certain":[40,128],"statistics":[41],"those":[43],"words.":[44],"By":[45],"experimentation,":[46],"hybrid":[48],"is":[50,62,99],"shown":[51],"to":[52,93,131],"be":[53],"effective,":[54],"showing":[55],"that":[56,108],"standard":[58],"harder":[63],"than":[64],"for":[70],"our":[71,97,119],"groups.":[72],"Moreover,":[73],"some":[74],"intuitive":[75],"methods":[76],"increasing":[78],"difficulty":[80],"are":[81,109],"overcome":[82],"by":[83,118],"algorithm,":[85],"in":[87,106,134],"fact":[88],"make":[89],"easier":[92],"solve.":[94],"show":[96],"efficient,":[100],"comparing":[101],"well":[102],"traditional":[104],"approaches":[105],"statistically":[110],"similar.":[111],"Finally,":[112],"via":[113],"\u201capproximation\u201d":[114],"braid":[116],"subclass,":[120],"we":[121],"implications":[123],"on":[127],"cryptosystems,":[129],"pointing":[130],"further":[132],"work":[133],"discipline":[136],"group-theoretic":[138],"cryptography.":[139]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
