{"id":"https://openalex.org/W1603133956","doi":"https://doi.org/10.1007/978-3-540-73458-1_18","title":"Double-Size Bipartite Modular Multiplication","display_name":"Double-Size Bipartite Modular Multiplication","publication_year":2007,"publication_date":"2007-07-04","ids":{"openalex":"https://openalex.org/W1603133956","doi":"https://doi.org/10.1007/978-3-540-73458-1_18","mag":"1603133956"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-73458-1_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-73458-1_18","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":"conference-paper","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":false,"raw_author_name":"Masayuki Yoshino","raw_affiliation_strings":["Hitachi, Ltd., Systems Development Laboratory, Kawasaki, Japan","Hitachi Ltd., Systems Development Laboratory, Kawasaki, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hitachi, Ltd., Systems Development Laboratory, Kawasaki, Japan","institution_ids":["https://openalex.org/I65143321"]},{"raw_affiliation_string":"Hitachi Ltd., Systems Development Laboratory, 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":["Hitachi, Ltd., Systems Development Laboratory, Kawasaki, Japan","Hitachi Ltd., Systems Development Laboratory, Kawasaki, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hitachi, Ltd., Systems Development Laboratory, Kawasaki, Japan","institution_ids":["https://openalex.org/I65143321"]},{"raw_affiliation_string":"Hitachi Ltd., Systems Development Laboratory, 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":["Hitachi, Ltd., Systems Development Laboratory, Kawasaki, Japan","Hitachi Ltd., Systems Development Laboratory, Kawasaki, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hitachi, Ltd., Systems Development Laboratory, Kawasaki, Japan","institution_ids":["https://openalex.org/I65143321"]},{"raw_affiliation_string":"Hitachi Ltd., Systems Development Laboratory, Kawasaki, Japan","institution_ids":["https://openalex.org/I65143321"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I65143321"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.8726,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70991375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"230","last_page":"244"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9976000189781189,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.979200005531311,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.8265639543533325},{"id":"https://openalex.org/keywords/operand","display_name":"Operand","score":0.6849600076675415},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.6598830223083496},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5837922692298889},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5786983966827393},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5235502123832703},{"id":"https://openalex.org/keywords/modular-exponentiation","display_name":"Modular exponentiation","score":0.508644700050354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4772374629974365},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4369134306907654},{"id":"https://openalex.org/keywords/nist","display_name":"NIST","score":0.43319475650787354},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.43041643500328064},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3743640184402466},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22364351153373718},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2056739330291748},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.1647307574748993},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.08771771192550659},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06790328025817871}],"concepts":[{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.8265639543533325},{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.6849600076675415},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.6598830223083496},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5837922692298889},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5786983966827393},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5235502123832703},{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.508644700050354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4772374629974365},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4369134306907654},{"id":"https://openalex.org/C111219384","wikidata":"https://www.wikidata.org/wiki/Q6954384","display_name":"NIST","level":2,"score":0.43319475650787354},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.43041643500328064},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3743640184402466},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22364351153373718},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2056739330291748},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.1647307574748993},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.08771771192550659},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06790328025817871},{"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/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-73458-1_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-73458-1_18","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/W19328048","https://openalex.org/W1509238864","https://openalex.org/W1573553750","https://openalex.org/W1581806326","https://openalex.org/W1601624599","https://openalex.org/W1606269009","https://openalex.org/W1607745397","https://openalex.org/W1644344319","https://openalex.org/W1660562555","https://openalex.org/W1996360405","https://openalex.org/W2004814164","https://openalex.org/W2046404735","https://openalex.org/W2053464283","https://openalex.org/W2109387501","https://openalex.org/W2132249288","https://openalex.org/W2286477783","https://openalex.org/W2490813647","https://openalex.org/W2496045601","https://openalex.org/W2561675875","https://openalex.org/W2770583616","https://openalex.org/W4232836212","https://openalex.org/W4237773356","https://openalex.org/W4289127653"],"related_works":["https://openalex.org/W1529958278","https://openalex.org/W3182915524","https://openalex.org/W2285294304","https://openalex.org/W1995898468","https://openalex.org/W2393695657","https://openalex.org/W889033279","https://openalex.org/W122256349","https://openalex.org/W1528435681","https://openalex.org/W2145092061","https://openalex.org/W2044062660"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
