{"id":"https://openalex.org/W1500494440","doi":"https://doi.org/10.1007/11958239_9","title":"Scalar Multiplication on Koblitz Curves Using Double Bases","display_name":"Scalar Multiplication on Koblitz Curves Using Double Bases","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1500494440","doi":"https://doi.org/10.1007/11958239_9","mag":"1500494440"},"language":"en","primary_location":{"id":"doi:10.1007/11958239_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11958239_9","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/A5111606942","display_name":"Roberto Avanzi","orcid":null},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Roberto Avanzi","raw_affiliation_strings":["Institute for Cryptology and IT-Security, The Horst G\u00f6rtz institute (HGI) of IT-Security, Ruhr-Universit\u00e4t Bochum, Universit\u00e4tsstra\u00dfe 150, D-44780, Bochum, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Cryptology and IT-Security, The Horst G\u00f6rtz institute (HGI) of IT-Security, Ruhr-Universit\u00e4t Bochum, Universit\u00e4tsstra\u00dfe 150, D-44780, Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065948382","display_name":"Francesco Sica","orcid":"https://orcid.org/0000-0002-6027-2548"},"institutions":[{"id":"https://openalex.org/I163902620","display_name":"Mount Allison University","ror":"https://ror.org/03grc6f14","country_code":"CA","type":"education","lineage":["https://openalex.org/I163902620"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Francesco Sica","raw_affiliation_strings":["Department of Mathematics and Computer Science, Mount Allison University \u2013 AceCrypt, 67 York Street, Sackville, NB, E4L 1E6, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Mount Allison University \u2013 AceCrypt, 67 York Street, Sackville, NB, E4L 1E6, Canada","institution_ids":["https://openalex.org/I163902620"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.8602,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.96748682,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"131","last_page":"146"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9969000220298767,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9864000082015991,"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/scalar-multiplication","display_name":"Scalar multiplication","score":0.8302404880523682},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5283872485160828},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.4478967785835266},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3875148892402649},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36163246631622314},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12623128294944763}],"concepts":[{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.8302404880523682},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5283872485160828},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.4478967785835266},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3875148892402649},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36163246631622314},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12623128294944763}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11958239_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11958239_9","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":23,"referenced_works":["https://openalex.org/W1487297807","https://openalex.org/W1507106163","https://openalex.org/W1535504912","https://openalex.org/W1564047975","https://openalex.org/W1572782736","https://openalex.org/W1632631493","https://openalex.org/W1808634574","https://openalex.org/W1872826169","https://openalex.org/W1957825227","https://openalex.org/W2003736153","https://openalex.org/W2036378739","https://openalex.org/W2042037294","https://openalex.org/W2062429446","https://openalex.org/W2076597612","https://openalex.org/W2098240387","https://openalex.org/W2102308384","https://openalex.org/W2115190247","https://openalex.org/W2161531038","https://openalex.org/W2162316726","https://openalex.org/W3175367423","https://openalex.org/W4230265636","https://openalex.org/W4285719527","https://openalex.org/W4388288416"],"related_works":["https://openalex.org/W2867317277","https://openalex.org/W2078886092","https://openalex.org/W2026935600","https://openalex.org/W1576294153","https://openalex.org/W2765331211","https://openalex.org/W2371966105","https://openalex.org/W1436958357","https://openalex.org/W1013051127","https://openalex.org/W1485234189","https://openalex.org/W2388198656"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}