{"id":"https://openalex.org/W2011765981","doi":"https://doi.org/10.1007/s00145-010-9093-7","title":"Accelerating Pollard\u2019s Rho Algorithm on Finite Fields","display_name":"Accelerating Pollard\u2019s Rho Algorithm on Finite Fields","publication_year":2010,"publication_date":"2010-11-11","ids":{"openalex":"https://openalex.org/W2011765981","doi":"https://doi.org/10.1007/s00145-010-9093-7","mag":"2011765981"},"language":"en","primary_location":{"id":"doi:10.1007/s00145-010-9093-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00145-010-9093-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00145-010-9093-7.pdf","source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cryptology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00145-010-9093-7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044011121","display_name":"Jung Hee Cheon","orcid":"https://orcid.org/0000-0002-7085-2220"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jung Hee Cheon","raw_affiliation_strings":["ISaC and Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Korea","ISaC and Department of Mathematical Sciences, Seoul National University, Seoul, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISaC and Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Korea","institution_ids":["https://openalex.org/I139264467","https://openalex.org/I4210158432"]},{"raw_affiliation_string":"ISaC and Department of Mathematical Sciences, Seoul National University, Seoul, Korea","institution_ids":["https://openalex.org/I139264467","https://openalex.org/I4210158432"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017412198","display_name":"Jin Hong","orcid":"https://orcid.org/0000-0002-9235-9824"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Jin Hong","raw_affiliation_strings":["ISaC and Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Korea","ISaC and Department of Mathematical Sciences, Seoul National University, Seoul, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISaC and Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Korea","institution_ids":["https://openalex.org/I139264467","https://openalex.org/I4210158432"]},{"raw_affiliation_string":"ISaC and Department of Mathematical Sciences, Seoul National University, Seoul, Korea","institution_ids":["https://openalex.org/I139264467","https://openalex.org/I4210158432"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100377704","display_name":"Minkyu Kim","orcid":"https://orcid.org/0000-0002-1139-2279"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Minkyu Kim","raw_affiliation_strings":["ISaC and Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Korea","ISaC and Department of Mathematical Sciences, Seoul National University, Seoul, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISaC and Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Korea","institution_ids":["https://openalex.org/I139264467","https://openalex.org/I4210158432"]},{"raw_affiliation_string":"ISaC and Department of Mathematical Sciences, Seoul National University, Seoul, Korea","institution_ids":["https://openalex.org/I139264467","https://openalex.org/I4210158432"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017412198"],"corresponding_institution_ids":["https://openalex.org/I139264467","https://openalex.org/I4210158432"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.6361,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.69457641,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"25","issue":"2","first_page":"195","last_page":"242"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9962999820709229,"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/speedup","display_name":"Speedup","score":0.7188282012939453},{"id":"https://openalex.org/keywords/discrete-logarithm","display_name":"Discrete logarithm","score":0.6583499312400818},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6093699932098389},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5978509187698364},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5516883730888367},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5441234707832336},{"id":"https://openalex.org/keywords/random-geometric-graph","display_name":"Random geometric graph","score":0.525395929813385},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.4925290048122406},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4904145896434784},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.4824562668800354},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4700283706188202},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4625704884529114},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.45811787247657776},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4506703019142151},{"id":"https://openalex.org/keywords/collision","display_name":"Collision","score":0.43494313955307007},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4284699559211731},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.42400434613227844},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.333984375},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3233477473258972},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.21540182828903198},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.1183289885520935},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.11177712678909302}],"concepts":[{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.7188282012939453},{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.6583499312400818},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6093699932098389},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5978509187698364},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5516883730888367},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5441234707832336},{"id":"https://openalex.org/C30609935","wikidata":"https://www.wikidata.org/wiki/Q7291969","display_name":"Random geometric graph","level":5,"score":0.525395929813385},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.4925290048122406},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4904145896434784},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.4824562668800354},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4700283706188202},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4625704884529114},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.45811787247657776},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4506703019142151},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.43494313955307007},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4284699559211731},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.42400434613227844},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.333984375},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3233477473258972},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.21540182828903198},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.1183289885520935},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.11177712678909302},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00145-010-9093-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00145-010-9093-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00145-010-9093-7.pdf","source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cryptology","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00145-010-9093-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00145-010-9093-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00145-010-9093-7.pdf","source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cryptology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8162362964","display_name":null,"funder_award_id":"2010-0001655","funder_id":"https://openalex.org/F4320322349","funder_display_name":"Ministry of Education, Science and Technology"},{"id":"https://openalex.org/G8172822116","display_name":null,"funder_award_id":"2010-0004561","funder_id":"https://openalex.org/F4320322349","funder_display_name":"Ministry of Education, Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320322349","display_name":"Ministry of Education, Science and Technology","ror":"https://ror.org/01p262204"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2011765981.pdf","grobid_xml":"https://content.openalex.org/works/W2011765981.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W91623556","https://openalex.org/W1480802403","https://openalex.org/W1520933837","https://openalex.org/W1527059802","https://openalex.org/W1538333734","https://openalex.org/W1660562555","https://openalex.org/W1846372366","https://openalex.org/W1966714372","https://openalex.org/W1977355730","https://openalex.org/W1981455414","https://openalex.org/W1985265065","https://openalex.org/W1995997000","https://openalex.org/W2003345268","https://openalex.org/W2008272678","https://openalex.org/W2012770528","https://openalex.org/W2019816098","https://openalex.org/W2025203646","https://openalex.org/W2042173287","https://openalex.org/W2083368929","https://openalex.org/W2087297556","https://openalex.org/W2088091599","https://openalex.org/W2088492907","https://openalex.org/W2091260227","https://openalex.org/W2108834246","https://openalex.org/W2141836061","https://openalex.org/W2156186849","https://openalex.org/W2170863032","https://openalex.org/W2175869341","https://openalex.org/W2226303357","https://openalex.org/W2318946948","https://openalex.org/W2752853835","https://openalex.org/W2761924357","https://openalex.org/W3021014091","https://openalex.org/W3157578321","https://openalex.org/W3198160809","https://openalex.org/W4289126832","https://openalex.org/W6831274217"],"related_works":["https://openalex.org/W2893614166","https://openalex.org/W1597678101","https://openalex.org/W1490994218","https://openalex.org/W2117672015","https://openalex.org/W2514478013","https://openalex.org/W2940090557","https://openalex.org/W7780975","https://openalex.org/W1541224886","https://openalex.org/W2949738106","https://openalex.org/W2161664453"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
