{"id":"https://openalex.org/W1590084875","doi":"https://doi.org/10.1007/3-540-46416-6_29","title":"On the Complexity of Hyperelliptic Discrete Logarithm Problem","display_name":"On the Complexity of Hyperelliptic Discrete Logarithm Problem","publication_year":1991,"publication_date":"1991-01-01","ids":{"openalex":"https://openalex.org/W1590084875","doi":"https://doi.org/10.1007/3-540-46416-6_29","mag":"1590084875"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-46416-6_29","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-46416-6_29","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5113499912","display_name":"Haroka Shizuya","orcid":null},"institutions":[{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]},{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["CA","JP"],"is_corresponding":true,"raw_author_name":"Haroka Shizuya","raw_affiliation_strings":["Department of Electrical Communications, Faculity of Engineering, Tohoku University, Sendai, Japan","D\u00e9partement d\u2019I.R.O., Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Canada","D\u00e9partement d'I.R.O., Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communications, Faculity of Engineering, Tohoku University, Sendai, Japan","institution_ids":["https://openalex.org/I201537933"]},{"raw_affiliation_string":"D\u00e9partement d\u2019I.R.O., Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I70931966"]},{"raw_affiliation_string":"D\u00e9partement d'I.R.O., Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Canada","institution_ids":["https://openalex.org/I70931966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073609577","display_name":"Toshiya Itoh","orcid":"https://orcid.org/0000-0002-1149-7046"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Toshiya Itoh","raw_affiliation_strings":["Department of Information Processing, The Graduate School at Nagatsuta, Tokyo Institute of Technology, Yokohama, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Processing, The Graduate School at Nagatsuta, Tokyo Institute of Technology, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001126368","display_name":"Kouichi Sakurai","orcid":"https://orcid.org/0000-0003-4621-1674"},"institutions":[{"id":"https://openalex.org/I4210133125","display_name":"Mitsubishi Electric (Japan)","ror":"https://ror.org/033y26782","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kouichi Sakurai","raw_affiliation_strings":["Computer & Information Systems Laboratory, Mitsubishi Electric Corporation, Kamakura, Japan"],"affiliations":[{"raw_affiliation_string":"Computer & Information Systems Laboratory, Mitsubishi Electric Corporation, Kamakura, Japan","institution_ids":["https://openalex.org/I4210133125"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113499912"],"corresponding_institution_ids":["https://openalex.org/I201537933","https://openalex.org/I70931966"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.1349,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.8547486,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"337","last_page":"351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9997000098228455,"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":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9988999962806702,"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/T10237","display_name":"Cryptography and Data Security","score":0.9968000054359436,"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/discrete-logarithm","display_name":"Discrete logarithm","score":0.9263899326324463},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.7826410531997681},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.7008962035179138},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6504626870155334},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5322250127792358},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5010206699371338},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.48453253507614136},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47774428129196167},{"id":"https://openalex.org/keywords/multiplicative-group","display_name":"Multiplicative group","score":0.43676069378852844},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4270961284637451},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2596714496612549},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.145136296749115},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13037598133087158},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11387276649475098},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.05297333002090454}],"concepts":[{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.9263899326324463},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7826410531997681},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7008962035179138},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6504626870155334},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5322250127792358},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5010206699371338},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.48453253507614136},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47774428129196167},{"id":"https://openalex.org/C92788228","wikidata":"https://www.wikidata.org/wiki/Q3777923","display_name":"Multiplicative group","level":3,"score":0.43676069378852844},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4270961284637451},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2596714496612549},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.145136296749115},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13037598133087158},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11387276649475098},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.05297333002090454},{"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/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-46416-6_29","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-46416-6_29","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W174000446","https://openalex.org/W582401037","https://openalex.org/W1486898453","https://openalex.org/W1489837396","https://openalex.org/W1498993177","https://openalex.org/W1608415167","https://openalex.org/W1974733147","https://openalex.org/W1984976620","https://openalex.org/W2003736153","https://openalex.org/W2011042573","https://openalex.org/W2011112377","https://openalex.org/W2013383029","https://openalex.org/W2018099718","https://openalex.org/W2021586362","https://openalex.org/W2028358228","https://openalex.org/W2036378739","https://openalex.org/W2045664183","https://openalex.org/W2069485873","https://openalex.org/W2075252632","https://openalex.org/W2081058418","https://openalex.org/W2096390054","https://openalex.org/W2137883105","https://openalex.org/W2144752539","https://openalex.org/W2148373594","https://openalex.org/W2151715405","https://openalex.org/W2156186849","https://openalex.org/W2480329029","https://openalex.org/W2912690715","https://openalex.org/W4237505298","https://openalex.org/W4242424230","https://openalex.org/W4245047333","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2893614166","https://openalex.org/W1597678101","https://openalex.org/W1490994218","https://openalex.org/W2117672015","https://openalex.org/W3182154488","https://openalex.org/W2514478013","https://openalex.org/W2940090557","https://openalex.org/W7780975","https://openalex.org/W1541224886","https://openalex.org/W2949738106"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}