{"id":"https://openalex.org/W184983733","doi":"https://doi.org/10.1007/978-3-642-20901-7_15","title":"Arithmetic of Split Kummer Surfaces: Montgomery Endomorphism of Edwards Products","display_name":"Arithmetic of Split Kummer Surfaces: Montgomery Endomorphism of Edwards Products","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W184983733","doi":"https://doi.org/10.1007/978-3-642-20901-7_15","mag":"184983733"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-20901-7_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-20901-7_15","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1601.03680","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067104694","display_name":"David Kohel","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"David Kohel","raw_affiliation_strings":["Institut de Math\u00e9matiques de Luminy, Universit\u00e9 de la M\u00e9diterran\u00e9e, 163, avenue de Luminy, Case 907, 13288, Marseille Cedex 9, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut de Math\u00e9matiques de Luminy, Universit\u00e9 de la M\u00e9diterran\u00e9e, 163, avenue de Luminy, Case 907, 13288, Marseille Cedex 9, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067104694"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.10599255,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"238","last_page":"245"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9664999842643738,"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/endomorphism","display_name":"Endomorphism","score":0.9643347263336182},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8187278509140015},{"id":"https://openalex.org/keywords/endomorphism-ring","display_name":"Endomorphism ring","score":0.7296200394630432},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.6431106328964233},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5665863156318665},{"id":"https://openalex.org/keywords/complex-multiplication","display_name":"Complex multiplication","score":0.5564047694206238},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5293237566947937},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5292994976043701},{"id":"https://openalex.org/keywords/scalar-multiplication","display_name":"Scalar multiplication","score":0.4654771685600281},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43878427147865295},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.43837428092956543},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3497936427593231},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28769004344940186},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12059110403060913}],"concepts":[{"id":"https://openalex.org/C116858840","wikidata":"https://www.wikidata.org/wiki/Q1340800","display_name":"Endomorphism","level":2,"score":0.9643347263336182},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8187278509140015},{"id":"https://openalex.org/C2778153370","wikidata":"https://www.wikidata.org/wiki/Q2896709","display_name":"Endomorphism ring","level":3,"score":0.7296200394630432},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.6431106328964233},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5665863156318665},{"id":"https://openalex.org/C80146680","wikidata":"https://www.wikidata.org/wiki/Q2654923","display_name":"Complex multiplication","level":3,"score":0.5564047694206238},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5293237566947937},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5292994976043701},{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.4654771685600281},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43878427147865295},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.43837428092956543},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3497936427593231},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28769004344940186},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12059110403060913}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-20901-7_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-20901-7_15","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"},{"id":"pmh:oai:arXiv.org:1601.03680","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.03680","pdf_url":"https://arxiv.org/pdf/1601.03680","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-01257337v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01257337","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Coding and Cryptology: Third International Workshop, IWCC 2011, Qingdao, China, May 30-June 3, 2011. Proceedings, 6639, pp.238-245, 2011, Lecture Notes in Computer Science, &#x27E8;10.1007/978-3-642-20901-7_15&#x27E9;","raw_type":"Book sections"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1601.03680","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.03680","pdf_url":"https://arxiv.org/pdf/1601.03680","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.5199999809265137,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G664156994","display_name":"Courbes Hyperelliptiques : Isog\u00e9nies et Comptage","funder_award_id":"ANR-09-BLAN-0020","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1531102506","https://openalex.org/W1539740938","https://openalex.org/W1603321026","https://openalex.org/W1971605365","https://openalex.org/W1972442530","https://openalex.org/W1985192116","https://openalex.org/W2055403242","https://openalex.org/W2085997550","https://openalex.org/W2096133993","https://openalex.org/W2154290215","https://openalex.org/W2167712295","https://openalex.org/W4249824812"],"related_works":["https://openalex.org/W69393089","https://openalex.org/W2922584942","https://openalex.org/W2952466723","https://openalex.org/W4298370441","https://openalex.org/W184983733","https://openalex.org/W4298209657","https://openalex.org/W148359017","https://openalex.org/W2067628956","https://openalex.org/W2067610397","https://openalex.org/W2949476124"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-20T22:02:38.213706","created_date":"2025-10-10T00:00:00"}
