{"id":"https://openalex.org/W2736445576","doi":"https://doi.org/10.1007/978-981-10-5065-7_5","title":"Pairings on Hyperelliptic Curves with Considering Recent Progress on the NFS Algorithms","display_name":"Pairings on Hyperelliptic Curves with Considering Recent Progress on the NFS Algorithms","publication_year":2017,"publication_date":"2017-07-25","ids":{"openalex":"https://openalex.org/W2736445576","doi":"https://doi.org/10.1007/978-981-10-5065-7_5","mag":"2736445576"},"language":"en","primary_location":{"id":"doi:10.1007/978-981-10-5065-7_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-10-5065-7_5","pdf_url":null,"source":{"id":"https://openalex.org/S4210168673","display_name":"Mathematics for industry","issn_l":"2198-350X","issn":["2198-350X","2198-3518"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics for Industry","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/A5100617642","display_name":"Masahiro Ishii","orcid":"https://orcid.org/0000-0002-2761-6097"},"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":true,"raw_author_name":"Masahiro Ishii","raw_affiliation_strings":["Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo, 152-8550, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo, 152-8550, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100617642"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11598052,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"81","last_page":"96"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9902999997138977,"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":0.9897000193595886,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hyperelliptic-curve","display_name":"Hyperelliptic curve","score":0.4643595218658447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3991394639015198},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38128209114074707},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.2605360746383667},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21155914664268494}],"concepts":[{"id":"https://openalex.org/C11074058","wikidata":"https://www.wikidata.org/wiki/Q850110","display_name":"Hyperelliptic curve","level":3,"score":0.4643595218658447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3991394639015198},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38128209114074707},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2605360746383667},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21155914664268494}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-981-10-5065-7_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-981-10-5065-7_5","pdf_url":null,"source":{"id":"https://openalex.org/S4210168673","display_name":"Mathematics for industry","issn_l":"2198-350X","issn":["2198-350X","2198-3518"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics for Industry","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":30,"referenced_works":["https://openalex.org/W13718802","https://openalex.org/W119120280","https://openalex.org/W129300768","https://openalex.org/W198851976","https://openalex.org/W600997534","https://openalex.org/W1525437478","https://openalex.org/W1528780277","https://openalex.org/W1529567625","https://openalex.org/W1551800379","https://openalex.org/W1553871775","https://openalex.org/W1758781646","https://openalex.org/W1846967348","https://openalex.org/W1850106430","https://openalex.org/W1866966051","https://openalex.org/W2021553056","https://openalex.org/W2026892462","https://openalex.org/W2028982966","https://openalex.org/W2035456347","https://openalex.org/W2044802540","https://openalex.org/W2117596926","https://openalex.org/W2128802035","https://openalex.org/W2147423004","https://openalex.org/W2159868780","https://openalex.org/W2295494829","https://openalex.org/W2406585997","https://openalex.org/W2550707886","https://openalex.org/W2561675875","https://openalex.org/W2576352420","https://openalex.org/W2741945342","https://openalex.org/W2949988188"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2070397564","https://openalex.org/W2085832635"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
