{"id":"https://openalex.org/W1574277617","doi":"https://doi.org/10.1007/978-3-642-17619-7_14","title":"Efficient Scalar Multiplications for Elliptic Curve Cryptosystems Using Mixed Coordinates Strategy and Direct Computations","display_name":"Efficient Scalar Multiplications for Elliptic Curve Cryptosystems Using Mixed Coordinates Strategy and Direct Computations","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1574277617","doi":"https://doi.org/10.1007/978-3-642-17619-7_14","mag":"1574277617"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-17619-7_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-17619-7_14","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/A5086209549","display_name":"Roghaie Mahdavi","orcid":null},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Roghaie Mahdavi","raw_affiliation_strings":["Department of Electronic Engineering, Amirkabir University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Amirkabir University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051859212","display_name":"Abolghasem Saiadian","orcid":null},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Abolghasem Saiadian","raw_affiliation_strings":["Department of Electronic Engineering, Amirkabir University of Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Amirkabir University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I158248296"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086209549"],"corresponding_institution_ids":["https://openalex.org/I158248296"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7716,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.75612802,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"184","last_page":"198"},"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":0.9696000218391418,"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":0.9656999707221985,"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/scalar-multiplication","display_name":"Scalar multiplication","score":0.9812029600143433},{"id":"https://openalex.org/keywords/elliptic-curve-point-multiplication","display_name":"Elliptic curve point multiplication","score":0.8597062230110168},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.7436587810516357},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5972475409507751},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5469534397125244},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.5385118722915649},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5267252922058105},{"id":"https://openalex.org/keywords/elliptic-curve-digital-signature-algorithm","display_name":"Elliptic Curve Digital Signature Algorithm","score":0.508398711681366},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.455890953540802},{"id":"https://openalex.org/keywords/tripling-oriented-doche\u2013icart\u2013kohel-curve","display_name":"Tripling-oriented Doche\u2013Icart\u2013Kohel curve","score":0.4347190856933594},{"id":"https://openalex.org/keywords/edwards-curve","display_name":"Edwards curve","score":0.4220612049102783},{"id":"https://openalex.org/keywords/hessian-form-of-an-elliptic-curve","display_name":"Hessian form of an elliptic curve","score":0.416583389043808},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4153473675251007},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40457361936569214},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3500652611255646},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.32184934616088867},{"id":"https://openalex.org/keywords/schoofs-algorithm","display_name":"Schoof's algorithm","score":0.3095369040966034},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.224871426820755},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.16417381167411804},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14145028591156006},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1086469292640686},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.10181418061256409},{"id":"https://openalex.org/keywords/quarter-period","display_name":"Quarter period","score":0.10127925872802734}],"concepts":[{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.9812029600143433},{"id":"https://openalex.org/C117121985","wikidata":"https://www.wikidata.org/wiki/Q78380999","display_name":"Elliptic curve point multiplication","level":3,"score":0.8597062230110168},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.7436587810516357},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5972475409507751},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5469534397125244},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.5385118722915649},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5267252922058105},{"id":"https://openalex.org/C197966572","wikidata":"https://www.wikidata.org/wiki/Q915079","display_name":"Elliptic Curve Digital Signature Algorithm","level":5,"score":0.508398711681366},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.455890953540802},{"id":"https://openalex.org/C37055786","wikidata":"https://www.wikidata.org/wiki/Q7843607","display_name":"Tripling-oriented Doche\u2013Icart\u2013Kohel curve","level":5,"score":0.4347190856933594},{"id":"https://openalex.org/C92727272","wikidata":"https://www.wikidata.org/wiki/Q3001190","display_name":"Edwards curve","level":5,"score":0.4220612049102783},{"id":"https://openalex.org/C104993295","wikidata":"https://www.wikidata.org/wiki/Q17023345","display_name":"Hessian form of an elliptic curve","level":5,"score":0.416583389043808},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4153473675251007},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40457361936569214},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3500652611255646},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.32184934616088867},{"id":"https://openalex.org/C121444067","wikidata":"https://www.wikidata.org/wiki/Q2835817","display_name":"Schoof's algorithm","level":4,"score":0.3095369040966034},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.224871426820755},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.16417381167411804},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14145028591156006},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1086469292640686},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.10181418061256409},{"id":"https://openalex.org/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"score":0.10127925872802734},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-17619-7_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-17619-7_14","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":16,"referenced_works":["https://openalex.org/W1526011068","https://openalex.org/W1539482743","https://openalex.org/W1584722274","https://openalex.org/W1880212920","https://openalex.org/W2003736153","https://openalex.org/W2036378739","https://openalex.org/W2068339008","https://openalex.org/W2090911915","https://openalex.org/W2113925180","https://openalex.org/W2115840814","https://openalex.org/W2121866459","https://openalex.org/W2137393540","https://openalex.org/W2161825109","https://openalex.org/W2166362740","https://openalex.org/W2477011922","https://openalex.org/W3041379456"],"related_works":["https://openalex.org/W2121110380","https://openalex.org/W2548082687","https://openalex.org/W2071707911","https://openalex.org/W1976871117","https://openalex.org/W28923676","https://openalex.org/W1634503271","https://openalex.org/W3211097549","https://openalex.org/W1175355266","https://openalex.org/W2188057592","https://openalex.org/W2006528304"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}