{"id":"https://openalex.org/W1591099339","doi":"https://doi.org/10.1007/3-540-46766-1_26","title":"Faster Modular Multiplication by Operand Scaling","display_name":"Faster Modular Multiplication by Operand Scaling","publication_year":2007,"publication_date":"2007-08-11","ids":{"openalex":"https://openalex.org/W1591099339","doi":"https://doi.org/10.1007/3-540-46766-1_26","mag":"1591099339"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-46766-1_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-46766-1_26","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/A5029179527","display_name":"Colin D. Walter","orcid":null},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]},{"id":"https://openalex.org/I1336158746","display_name":"United States International Trade Commission","ror":"https://ror.org/05hsggr76","country_code":"US","type":"government","lineage":["https://openalex.org/I1336158746"]}],"countries":["GB","US"],"is_corresponding":true,"raw_author_name":"Colin D. Walter","raw_affiliation_strings":["Computation Department, U.M.I.S.T., Manchester, UK","U.M.I.S.T"],"affiliations":[{"raw_affiliation_string":"Computation Department, U.M.I.S.T., Manchester, UK","institution_ids":["https://openalex.org/I28407311"]},{"raw_affiliation_string":"U.M.I.S.T","institution_ids":["https://openalex.org/I1336158746"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029179527"],"corresponding_institution_ids":["https://openalex.org/I1336158746","https://openalex.org/I28407311"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.3445,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.92806309,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"313","last_page":"323"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998000264167786,"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":0.9998000264167786,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9962000250816345,"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"}},{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9905999898910522,"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/operand","display_name":"Operand","score":0.9091883301734924},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.8883770704269409},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.7017747759819031},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.6913156509399414},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.6770706176757812},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.6691505908966064},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6348214745521545},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.6221522092819214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6201227903366089},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4831394851207733},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28820762038230896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2707516551017761},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07046803832054138},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0573020875453949}],"concepts":[{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.9091883301734924},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.8883770704269409},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7017747759819031},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.6913156509399414},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.6770706176757812},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.6691505908966064},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6348214745521545},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.6221522092819214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6201227903366089},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4831394851207733},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28820762038230896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2707516551017761},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07046803832054138},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0573020875453949},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-46766-1_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-46766-1_26","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":7,"referenced_works":["https://openalex.org/W1540582803","https://openalex.org/W1982006319","https://openalex.org/W1996360405","https://openalex.org/W2036085017","https://openalex.org/W2044915798","https://openalex.org/W2115237667","https://openalex.org/W4232836212"],"related_works":["https://openalex.org/W2089343558","https://openalex.org/W2015084332","https://openalex.org/W2403291794","https://openalex.org/W2525693927","https://openalex.org/W1998028015","https://openalex.org/W2084130214","https://openalex.org/W3086669545","https://openalex.org/W2084237055","https://openalex.org/W1863128662","https://openalex.org/W2126703276"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}