{"id":"https://openalex.org/W2920819334","doi":"https://doi.org/10.23919/isita.2018.8664405","title":"A Study on the Parameter of the Distinguished Point Method in Pollard\u2019s Rho Method for ECDLP","display_name":"A Study on the Parameter of the Distinguished Point Method in Pollard\u2019s Rho Method for ECDLP","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2920819334","doi":"https://doi.org/10.23919/isita.2018.8664405","mag":"2920819334"},"language":"en","primary_location":{"id":"doi:10.23919/isita.2018.8664405","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","raw_type":"proceedings-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/A5010384903","display_name":"Ken Ikuta","orcid":null},"institutions":[{"id":"https://openalex.org/I163770644","display_name":"Okayama University","ror":"https://ror.org/02pc6pc55","country_code":"JP","type":"education","lineage":["https://openalex.org/I163770644"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Ken Ikuta","raw_affiliation_strings":["Graduate School of Natural Science and Technology, Okayama University"],"affiliations":[{"raw_affiliation_string":"Graduate School of Natural Science and Technology, Okayama University","institution_ids":["https://openalex.org/I163770644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066592108","display_name":"Sho Joichi","orcid":null},"institutions":[{"id":"https://openalex.org/I163770644","display_name":"Okayama University","ror":"https://ror.org/02pc6pc55","country_code":"JP","type":"education","lineage":["https://openalex.org/I163770644"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Sho Joichi","raw_affiliation_strings":["Graduate School of Natural Science and Technology, Okayama University"],"affiliations":[{"raw_affiliation_string":"Graduate School of Natural Science and Technology, Okayama University","institution_ids":["https://openalex.org/I163770644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006116611","display_name":"Kazuya Kobayashi","orcid":"https://orcid.org/0000-0001-5839-0337"},"institutions":[{"id":"https://openalex.org/I163770644","display_name":"Okayama University","ror":"https://ror.org/02pc6pc55","country_code":"JP","type":"education","lineage":["https://openalex.org/I163770644"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kazuya Kobayashi","raw_affiliation_strings":["Graduate School of Natural Science and Technology, Okayama University"],"affiliations":[{"raw_affiliation_string":"Graduate School of Natural Science and Technology, Okayama University","institution_ids":["https://openalex.org/I163770644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053358368","display_name":"Md. Al-Amin Khandaker","orcid":"https://orcid.org/0000-0001-7330-138X"},"institutions":[{"id":"https://openalex.org/I163770644","display_name":"Okayama University","ror":"https://ror.org/02pc6pc55","country_code":"JP","type":"education","lineage":["https://openalex.org/I163770644"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Md. Al-Amin Khandaker","raw_affiliation_strings":["Graduate School of Natural Science and Technology, Okayama University"],"affiliations":[{"raw_affiliation_string":"Graduate School of Natural Science and Technology, Okayama University","institution_ids":["https://openalex.org/I163770644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022845862","display_name":"Takuya Kusaka","orcid":"https://orcid.org/0000-0002-4240-0454"},"institutions":[{"id":"https://openalex.org/I163770644","display_name":"Okayama University","ror":"https://ror.org/02pc6pc55","country_code":"JP","type":"education","lineage":["https://openalex.org/I163770644"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takuya Kusaka","raw_affiliation_strings":["Graduate School of Natural Science and Technology, Okayama University"],"affiliations":[{"raw_affiliation_string":"Graduate School of Natural Science and Technology, Okayama University","institution_ids":["https://openalex.org/I163770644"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065515042","display_name":"Yasuyuki Nogami","orcid":"https://orcid.org/0000-0001-6247-0719"},"institutions":[{"id":"https://openalex.org/I163770644","display_name":"Okayama University","ror":"https://ror.org/02pc6pc55","country_code":"JP","type":"education","lineage":["https://openalex.org/I163770644"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasuyuki Nogami","raw_affiliation_strings":["Graduate School of Natural Science and Technology, Okayama University"],"affiliations":[{"raw_affiliation_string":"Graduate School of Natural Science and Technology, Okayama University","institution_ids":["https://openalex.org/I163770644"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5010384903"],"corresponding_institution_ids":["https://openalex.org/I163770644"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25482083,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"628","last_page":"632"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.9883000254631042,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.96670001745224,"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/elliptic-curve","display_name":"Elliptic curve","score":0.6552132368087769},{"id":"https://openalex.org/keywords/discrete-logarithm","display_name":"Discrete logarithm","score":0.622868001461029},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6052390933036804},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5329711437225342},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5087364315986633},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3823549449443817},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32975268363952637},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32280677556991577},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26522648334503174},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23013415932655334},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1483573019504547},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.1051182746887207}],"concepts":[{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.6552132368087769},{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.622868001461029},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6052390933036804},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5329711437225342},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5087364315986633},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3823549449443817},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32975268363952637},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32280677556991577},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26522648334503174},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23013415932655334},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1483573019504547},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.1051182746887207},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/isita.2018.8664405","is_oa":false,"landing_page_url":"https://doi.org/10.23919/isita.2018.8664405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 International Symposium on Information Theory and Its Applications (ISITA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1553083934","https://openalex.org/W1985265065","https://openalex.org/W2008272678","https://openalex.org/W2012770528","https://openalex.org/W2019816098","https://openalex.org/W2793239266","https://openalex.org/W4246140522","https://openalex.org/W6633001808","https://openalex.org/W6749152794"],"related_works":["https://openalex.org/W1555245969","https://openalex.org/W2321282558","https://openalex.org/W2299507895","https://openalex.org/W1900540279","https://openalex.org/W4300200155","https://openalex.org/W4300498183","https://openalex.org/W1544736259","https://openalex.org/W2012392278","https://openalex.org/W2656095712","https://openalex.org/W1833714557"],"abstract_inverted_index":{"In":[0],"this":[1],"research,":[2],"the":[3,6,22,49,51,54,58,68,75,78,81],"choice":[4,76],"of":[5,36,77,90],"parameter":[7,79],"for":[8,28,44,74,80],"a":[9],"method":[10,19,60,82],"to":[11,20,83],"generate":[12,84],"distinguished":[13,85],"rational":[14],"points":[15,86],"in":[16,56],"Pollard's":[17],"Rho":[18,59],"solve":[21],"elliptic":[23],"curve":[24],"discrete":[25],"logarithm":[26],"problem":[27],"Barreto-Naehrig":[29],"(BN)":[30],"curves":[31],"is":[32],"shown.":[33],"The":[34],"structures":[35],"random":[37],"walk":[38],"paths":[39],"are":[40],"confirmed":[41],"by":[42],"experiments":[43],"several":[45],"BN":[46],"curves.":[47],"From":[48],"results,":[50],"authors":[52,69],"clarify":[53],"conditions":[55],"which":[57],"does":[61],"not":[62],"stop":[63],"during":[64],"an":[65,72],"attack,":[66],"and":[67],"also":[70],"show":[71],"indication":[73],"with":[87],"large":[88],"bits":[89],"ECDLP.":[91]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}