{"id":"https://openalex.org/W318170118","doi":"https://doi.org/10.1007/978-3-319-02726-5_28","title":"Generation and Tate Pairing Computation of Ordinary Elliptic Curves with Embedding Degree One","display_name":"Generation and Tate Pairing Computation of Ordinary Elliptic Curves with Embedding Degree One","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W318170118","doi":"https://doi.org/10.1007/978-3-319-02726-5_28","mag":"318170118"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-02726-5_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-02726-5_28","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/A5008056598","display_name":"Zhi Hu","orcid":"https://orcid.org/0000-0002-0007-1613"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhi Hu","raw_affiliation_strings":["Beijing International Center for Mathematical Research, Peking University, Beijing, 100871, P.R. China","LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China"],"affiliations":[{"raw_affiliation_string":"Beijing International Center for Mathematical Research, Peking University, Beijing, 100871, P.R. China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100403214","display_name":"Lin Wang","orcid":"https://orcid.org/0000-0002-9944-5151"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lin Wang","raw_affiliation_strings":["Science and Technology on Communication Security Laboratory, Chengdu, 610041, P.R. China"],"affiliations":[{"raw_affiliation_string":"Science and Technology on Communication Security Laboratory, Chengdu, 610041, P.R. China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100956729","display_name":"Maozhi Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Maozhi Xu","raw_affiliation_strings":["LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China"],"affiliations":[{"raw_affiliation_string":"LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100607260","display_name":"Guoliang Zhang","orcid":"https://orcid.org/0000-0002-9333-1698"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoliang Zhang","raw_affiliation_strings":["LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China"],"affiliations":[{"raw_affiliation_string":"LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5008056598"],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5668,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6875293,"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":"393","last_page":"403"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9908000230789185,"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":0.9767000079154968,"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/pairing","display_name":"Pairing","score":0.9127448797225952},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.7938253879547119},{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.6859258413314819},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6794591546058655},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5838502049446106},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5470115542411804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4699207544326782},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3439384400844574},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33524584770202637},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19794756174087524},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13555055856704712},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06965520977973938},{"id":"https://openalex.org/keywords/bioinformatics","display_name":"Bioinformatics","score":0.046691179275512695}],"concepts":[{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.9127448797225952},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7938253879547119},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.6859258413314819},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6794591546058655},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5838502049446106},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5470115542411804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4699207544326782},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3439384400844574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33524584770202637},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19794756174087524},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13555055856704712},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06965520977973938},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.046691179275512695},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-02726-5_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-02726-5_28","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":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W82487883","https://openalex.org/W84277719","https://openalex.org/W563277296","https://openalex.org/W1481965140","https://openalex.org/W1486898453","https://openalex.org/W1496914902","https://openalex.org/W1583254002","https://openalex.org/W1684724692","https://openalex.org/W1798609567","https://openalex.org/W1810472045","https://openalex.org/W1828411905","https://openalex.org/W1854974330","https://openalex.org/W1886649036","https://openalex.org/W1959162959","https://openalex.org/W1970580817","https://openalex.org/W1990220158","https://openalex.org/W1998927873","https://openalex.org/W2021553056","https://openalex.org/W2043554840","https://openalex.org/W2055010170","https://openalex.org/W2092974605","https://openalex.org/W2094556471","https://openalex.org/W2096218735","https://openalex.org/W2101458679","https://openalex.org/W2109806227","https://openalex.org/W2111310412","https://openalex.org/W2117596926","https://openalex.org/W2125844942","https://openalex.org/W2141395382","https://openalex.org/W2336582372","https://openalex.org/W2475397807","https://openalex.org/W2478032277","https://openalex.org/W2481712540","https://openalex.org/W2484879158","https://openalex.org/W2505860479","https://openalex.org/W2572799557","https://openalex.org/W2899867281","https://openalex.org/W3105190800","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3015473028","https://openalex.org/W3201176751","https://openalex.org/W1993094293","https://openalex.org/W2029180842","https://openalex.org/W2024971119","https://openalex.org/W2057898405","https://openalex.org/W2953807518","https://openalex.org/W2258335979","https://openalex.org/W4319323581","https://openalex.org/W1904757850"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
