{"id":"https://openalex.org/W1524752030","doi":"https://doi.org/10.1109/iscas.2003.1205789","title":"Fast implementations of Montgomery's modular multiplication algorithm","display_name":"Fast implementations of Montgomery's modular multiplication algorithm","publication_year":2003,"publication_date":"2003-11-04","ids":{"openalex":"https://openalex.org/W1524752030","doi":"https://doi.org/10.1109/iscas.2003.1205789","mag":"1524752030"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2003.1205789","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1205789","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","raw_type":"proceedings-article"},"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/A5091541252","display_name":"P.V.A. Mohan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210093800","display_name":"Voluntary Health Association Of India","ror":"https://ror.org/00nezvm77","country_code":"IN","type":"nonprofit","lineage":["https://openalex.org/I4210093800"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"P.V.A. Mohan","raw_affiliation_strings":["Research and Development, I.T.I. Limited, Bangalore, India","Res. & Dev., I.T.I.Ltd., Bangalore, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research and Development, I.T.I. Limited, Bangalore, India","institution_ids":["https://openalex.org/I4210093800"]},{"raw_affiliation_string":"Res. & Dev., I.T.I.Ltd., Bangalore, India","institution_ids":["https://openalex.org/I4210093800"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5091541252"],"corresponding_institution_ids":["https://openalex.org/I4210093800"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07011126,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"IV","last_page":"125"},"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":0.9926000237464905,"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":0.9898999929428101,"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":0.8391848206520081},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.8144422769546509},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7582970857620239},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.7348616123199463},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6588233709335327},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5773976445198059},{"id":"https://openalex.org/keywords/multiplication-algorithm","display_name":"Multiplication algorithm","score":0.4824291169643402},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.47828683257102966},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4686312675476074},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42670369148254395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1533636748790741},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1214931309223175}],"concepts":[{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.8391848206520081},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.8144422769546509},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7582970857620239},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.7348616123199463},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6588233709335327},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5773976445198059},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.4824291169643402},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.47828683257102966},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4686312675476074},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42670369148254395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1533636748790741},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1214931309223175},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2003.1205789","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1205789","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1540582803","https://openalex.org/W1873408496","https://openalex.org/W1972014440","https://openalex.org/W1998960189","https://openalex.org/W2004814164","https://openalex.org/W2018747984","https://openalex.org/W2063884927","https://openalex.org/W2098235952","https://openalex.org/W2109320848","https://openalex.org/W2120493565","https://openalex.org/W2144047299","https://openalex.org/W2151163104","https://openalex.org/W2152226357","https://openalex.org/W2168543008","https://openalex.org/W4237773356","https://openalex.org/W6639515973","https://openalex.org/W6650184598"],"related_works":["https://openalex.org/W2113213955","https://openalex.org/W2225983048","https://openalex.org/W2016520453","https://openalex.org/W2372139915","https://openalex.org/W2070298508","https://openalex.org/W2361290373","https://openalex.org/W2367658296","https://openalex.org/W2904069009","https://openalex.org/W1981695891","https://openalex.org/W2355149595"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"techniques":[3],"for":[4],"fast":[5],"implementations":[6],"of":[7],"Montgomery's":[8],"modular":[9],"multiplication":[10],"algorithm":[11],"are":[12,20],"described.":[13],"These":[14,19],"use":[15],"non-redundant":[16],"multi-bit":[17],"recoding.":[18],"compared":[21,29],"regarding":[22],"the":[23],"area":[24],"and":[25,28],"computation":[26],"requirements":[27],"with":[30],"conventional":[31],"implementation.":[32]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
