{"id":"https://openalex.org/W2124745295","doi":"https://doi.org/10.1007/978-3-540-85912-3_17","title":"On the Connection between Kloosterman Sums and Elliptic Curves","display_name":"On the Connection between Kloosterman Sums and Elliptic Curves","publication_year":2008,"publication_date":"2008-09-11","ids":{"openalex":"https://openalex.org/W2124745295","doi":"https://doi.org/10.1007/978-3-540-85912-3_17","mag":"2124745295"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-85912-3_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85912-3_17","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/A5016403140","display_name":"Petr Lison\u011bk","orcid":"https://orcid.org/0000-0002-5083-0083"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Petr Lison\u011bk","raw_affiliation_strings":["Department of Mathematics, Simon Fraser University, Burnaby, BC, Canada, V5A 1S6","Department of Mathematics, Simon Fraser University, Burnaby, Canada V5A-1S6"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Simon Fraser University, Burnaby, BC, Canada, V5A 1S6","institution_ids":["https://openalex.org/I18014758"]},{"raw_affiliation_string":"Department of Mathematics, Simon Fraser University, Burnaby, Canada V5A-1S6","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016403140"],"corresponding_institution_ids":["https://openalex.org/I18014758"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.4614,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.95300412,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"182","last_page":"187"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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/T10849","display_name":"Finite Group Theory Research","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kloosterman-sum","display_name":"Kloosterman sum","score":0.9795758128166199},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.7851002216339111},{"id":"https://openalex.org/keywords/divisibility-rule","display_name":"Divisibility rule","score":0.7320616245269775},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6984125971794128},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5370221734046936},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.47930851578712463},{"id":"https://openalex.org/keywords/ternary-operation","display_name":"Ternary operation","score":0.4533483386039734},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4391219913959503},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29015836119651794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20536547899246216},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10837367177009583}],"concepts":[{"id":"https://openalex.org/C34282223","wikidata":"https://www.wikidata.org/wiki/Q6421354","display_name":"Kloosterman sum","level":2,"score":0.9795758128166199},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.7851002216339111},{"id":"https://openalex.org/C9991821","wikidata":"https://www.wikidata.org/wiki/Q858520","display_name":"Divisibility rule","level":2,"score":0.7320616245269775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6984125971794128},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5370221734046936},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.47930851578712463},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.4533483386039734},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4391219913959503},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29015836119651794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20536547899246216},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10837367177009583},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-85912-3_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85912-3_17","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1527953672","https://openalex.org/W1561414281","https://openalex.org/W1569014707","https://openalex.org/W1585566083","https://openalex.org/W1592482282","https://openalex.org/W1976677460","https://openalex.org/W2028343756","https://openalex.org/W2030255923","https://openalex.org/W2069017437","https://openalex.org/W2079239522","https://openalex.org/W2095178481","https://openalex.org/W2124113125","https://openalex.org/W2128718974","https://openalex.org/W2138238405","https://openalex.org/W2290401913","https://openalex.org/W2395639392","https://openalex.org/W3100219806","https://openalex.org/W4233487466"],"related_works":["https://openalex.org/W2924750524","https://openalex.org/W4288409566","https://openalex.org/W2966669383","https://openalex.org/W2068736327","https://openalex.org/W2050499826","https://openalex.org/W2108803829","https://openalex.org/W1825861400","https://openalex.org/W2005516850","https://openalex.org/W2081314644","https://openalex.org/W1970554159"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2016,"cited_by_count":6},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}