{"id":"https://openalex.org/W2013064698","doi":"https://doi.org/10.1007/s10207-008-0060-3","title":"Bipartite modular multiplication with twice the bit-length of multipliers","display_name":"Bipartite modular multiplication with twice the bit-length of multipliers","publication_year":2008,"publication_date":"2008-07-04","ids":{"openalex":"https://openalex.org/W2013064698","doi":"https://doi.org/10.1007/s10207-008-0060-3","mag":"2013064698"},"language":"en","primary_location":{"id":"doi:10.1007/s10207-008-0060-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10207-008-0060-3","pdf_url":null,"source":{"id":"https://openalex.org/S164062316","display_name":"International Journal of Information Security","issn_l":"1615-5262","issn":["1615-5262","1615-5270"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information Security","raw_type":"journal-article"},"type":"article","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/A5083154352","display_name":"Masayuki Yoshino","orcid":null},"institutions":[{"id":"https://openalex.org/I65143321","display_name":"Hitachi (Japan)","ror":"https://ror.org/02exqgm79","country_code":"JP","type":"company","lineage":["https://openalex.org/I65143321"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Masayuki Yoshino","raw_affiliation_strings":["Systems Development Laboratory, Hitachi, Ltd., 1099 Ohzenji, Asao-ku, Kawasaki, 215-0013, Japan","Hitachi, Ltd., Systems Development Laboratory, 1099 Ohzenji, Asao-ku, 215-0013, Kawasaki, Japan"],"affiliations":[{"raw_affiliation_string":"Systems Development Laboratory, Hitachi, Ltd., 1099 Ohzenji, Asao-ku, Kawasaki, 215-0013, Japan","institution_ids":["https://openalex.org/I65143321"]},{"raw_affiliation_string":"Hitachi, Ltd., Systems Development Laboratory, 1099 Ohzenji, Asao-ku, 215-0013, Kawasaki, Japan","institution_ids":["https://openalex.org/I65143321"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023938396","display_name":"Katsuyuki Okeya","orcid":null},"institutions":[{"id":"https://openalex.org/I65143321","display_name":"Hitachi (Japan)","ror":"https://ror.org/02exqgm79","country_code":"JP","type":"company","lineage":["https://openalex.org/I65143321"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Katsuyuki Okeya","raw_affiliation_strings":["Systems Development Laboratory, Hitachi, Ltd., 1099 Ohzenji, Asao-ku, Kawasaki, 215-0013, Japan","Hitachi, Ltd., Systems Development Laboratory, 1099 Ohzenji, Asao-ku, 215-0013, Kawasaki, Japan"],"affiliations":[{"raw_affiliation_string":"Systems Development Laboratory, Hitachi, Ltd., 1099 Ohzenji, Asao-ku, Kawasaki, 215-0013, Japan","institution_ids":["https://openalex.org/I65143321"]},{"raw_affiliation_string":"Hitachi, Ltd., Systems Development Laboratory, 1099 Ohzenji, Asao-ku, 215-0013, Kawasaki, Japan","institution_ids":["https://openalex.org/I65143321"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030344590","display_name":"Camille Vuillaume","orcid":null},"institutions":[{"id":"https://openalex.org/I65143321","display_name":"Hitachi (Japan)","ror":"https://ror.org/02exqgm79","country_code":"JP","type":"company","lineage":["https://openalex.org/I65143321"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Camille Vuillaume","raw_affiliation_strings":["Systems Development Laboratory, Hitachi, Ltd., 1099 Ohzenji, Asao-ku, Kawasaki, 215-0013, Japan","Hitachi, Ltd., Systems Development Laboratory, 1099 Ohzenji, Asao-ku, 215-0013, Kawasaki, Japan"],"affiliations":[{"raw_affiliation_string":"Systems Development Laboratory, Hitachi, Ltd., 1099 Ohzenji, Asao-ku, Kawasaki, 215-0013, Japan","institution_ids":["https://openalex.org/I65143321"]},{"raw_affiliation_string":"Hitachi, Ltd., Systems Development Laboratory, 1099 Ohzenji, Asao-ku, 215-0013, Kawasaki, Japan","institution_ids":["https://openalex.org/I65143321"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083154352"],"corresponding_institution_ids":["https://openalex.org/I65143321"],"apc_list":{"value":2590,"currency":"EUR","value_usd":3190},"apc_paid":null,"fwci":0.885,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.83854802,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"8","issue":"1","first_page":"13","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9991999864578247,"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":0.987500011920929,"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/modular-arithmetic","display_name":"Modular arithmetic","score":0.6777437925338745},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6489870548248291},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.6314593553543091},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.5584219694137573},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5494776964187622},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5424258708953857},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.4711170196533203},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4620354473590851},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.45147955417633057},{"id":"https://openalex.org/keywords/modular-exponentiation","display_name":"Modular exponentiation","score":0.44322431087493896},{"id":"https://openalex.org/keywords/adder","display_name":"Adder","score":0.4237945079803467},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3979873061180115},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3274805545806885},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.24403494596481323},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.19860431551933289},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.12835466861724854},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.10066267848014832}],"concepts":[{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.6777437925338745},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6489870548248291},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.6314593553543091},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.5584219694137573},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5494776964187622},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5424258708953857},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4711170196533203},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4620354473590851},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.45147955417633057},{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.44322431087493896},{"id":"https://openalex.org/C164620267","wikidata":"https://www.wikidata.org/wiki/Q376953","display_name":"Adder","level":3,"score":0.4237945079803467},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3979873061180115},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3274805545806885},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.24403494596481323},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.19860431551933289},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.12835466861724854},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.10066267848014832},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10207-008-0060-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10207-008-0060-3","pdf_url":null,"source":{"id":"https://openalex.org/S164062316","display_name":"International Journal of Information Security","issn_l":"1615-5262","issn":["1615-5262","1615-5270"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Information Security","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W19328048","https://openalex.org/W1509238864","https://openalex.org/W1581806326","https://openalex.org/W1601624599","https://openalex.org/W1606269009","https://openalex.org/W1607745397","https://openalex.org/W1660562555","https://openalex.org/W1996360405","https://openalex.org/W2004814164","https://openalex.org/W2053464283","https://openalex.org/W2108834246","https://openalex.org/W2109387501","https://openalex.org/W2132249288","https://openalex.org/W2286477783","https://openalex.org/W4232836212","https://openalex.org/W4289127653"],"related_works":["https://openalex.org/W3182915524","https://openalex.org/W2285294304","https://openalex.org/W1995898468","https://openalex.org/W2393695657","https://openalex.org/W889033279","https://openalex.org/W32238348","https://openalex.org/W2067075572","https://openalex.org/W2044536813","https://openalex.org/W2790517530","https://openalex.org/W2170171009"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
