{"id":"https://openalex.org/W1493873707","doi":"https://doi.org/10.1109/acssc.2003.1291939","title":"Fast Montgomery modular multiplication and RSA cryptographic processor architectures","display_name":"Fast Montgomery modular multiplication and RSA cryptographic processor architectures","publication_year":2004,"publication_date":"2004-07-08","ids":{"openalex":"https://openalex.org/W1493873707","doi":"https://doi.org/10.1109/acssc.2003.1291939","mag":"1493873707"},"language":"en","primary_location":{"id":"doi:10.1109/acssc.2003.1291939","doi":"https://doi.org/10.1109/acssc.2003.1291939","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2003.1291939","pdf_url":null,"source":{"id":"https://openalex.org/S4363608623","display_name":"Asilomar Conference on Signals, Systems and Computers (ACSSC)","issn_l":"1058-6393","issn":["1058-6393","2576-2303"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Thrity-Seventh Asilomar Conference on Signals, Systems &amp; Computers, 2003","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5077666433","display_name":"C. Mclvor","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"C. Mclvor","raw_affiliation_strings":["The Institute of Electronics Communications and Information Technology School of Electrical and Electronic Engineering The Queen's University of Belfast, Belfast","Inst. of Electron., Commun. & Inf. Technol., Queen's Univ. Belfast, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Electronics Communications and Information Technology School of Electrical and Electronic Engineering The Queen's University of Belfast, Belfast","institution_ids":["https://openalex.org/I126231945"]},{"raw_affiliation_string":"Inst. of Electron., Commun. & Inf. Technol., Queen's Univ. Belfast, UK","institution_ids":["https://openalex.org/I126231945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011754647","display_name":"M. McLoone","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. McLoone","raw_affiliation_strings":["The Institute of Electronics Communications and Information Technology School of Electrical and Electronic Engineering The Queen's University of Belfast, Belfast","Inst. of Electron., Commun. & Inf. Technol., Queen's Univ. Belfast, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Electronics Communications and Information Technology School of Electrical and Electronic Engineering The Queen's University of Belfast, Belfast","institution_ids":["https://openalex.org/I126231945"]},{"raw_affiliation_string":"Inst. of Electron., Commun. & Inf. Technol., Queen's Univ. Belfast, UK","institution_ids":["https://openalex.org/I126231945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111565223","display_name":"John V McCanny","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J.V. McCanny","raw_affiliation_strings":["The Institute of Electronics Communications and Information Technology School of Electrical and Electronic Engineering The Queen's University of Belfast, Belfast","Inst. of Electron., Commun. & Inf. Technol., Queen's Univ. Belfast, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Institute of Electronics Communications and Information Technology School of Electrical and Electronic Engineering The Queen's University of Belfast, Belfast","institution_ids":["https://openalex.org/I126231945"]},{"raw_affiliation_string":"Inst. of Electron., Commun. & Inf. Technol., Queen's Univ. Belfast, UK","institution_ids":["https://openalex.org/I126231945"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I126231945"],"apc_list":null,"apc_paid":null,"fwci":6.5612,"has_fulltext":false,"cited_by_count":113,"citation_normalized_percentile":{"value":0.97192906,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"379","last_page":"384"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9994999766349792,"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":0.9994999766349792,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.0005000000237487257,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/montgomery-multiplication","display_name":"Montgomery multiplication","score":0.8489999771118164},{"id":"https://openalex.org/keywords/carry-save-adder","display_name":"carry save adder","score":0.9850000143051147},{"id":"https://openalex.org/keywords/modular-arithmetic-hardware","display_name":"modular arithmetic hardware","score":0.5139999985694885},{"id":"https://openalex.org/keywords/critical-path-reduction","display_name":"critical path reduction","score":0.9269999861717224},{"id":"https://openalex.org/keywords/data-throughput","display_name":"data throughput","score":0.8600000143051147}],"concepts":[{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.8766821026802063},{"id":"https://openalex.org/C164620267","wikidata":"https://www.wikidata.org/wiki/Q376953","display_name":"Adder","level":3,"score":0.7465556859970093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7428125143051147},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.6132609844207764},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5746532678604126},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.5683126449584961},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5592985153198242},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5579452514648438},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.4972708523273468},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.45908963680267334},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.44118979573249817},{"id":"https://openalex.org/C115874739","wikidata":"https://www.wikidata.org/wiki/Q825377","display_name":"Critical path method","level":2,"score":0.4210726320743561},{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.41200053691864014},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.3205533027648926},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.31675469875335693},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2129504382610321},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13637998700141907},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12483063340187073},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10177180171012878},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.09854650497436523},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.08139181137084961},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"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/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acssc.2003.1291939","doi":"https://doi.org/10.1109/acssc.2003.1291939","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acssc.2003.1291939","pdf_url":null,"source":{"id":"https://openalex.org/S4363608623","display_name":"Asilomar Conference on Signals, Systems and Computers (ACSSC)","issn_l":"1058-6393","issn":["1058-6393","2576-2303"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Thrity-Seventh Asilomar Conference on Signals, Systems &amp; Computers, 2003","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.qub.ac.uk/portal:publications/3eed622e-4f0f-4a25-af95-f4da07f2737a","doi":null,"is_oa":false,"landing_page_url":"https://pure.qub.ac.uk/en/publications/3eed622e-4f0f-4a25-af95-f4da07f2737a","pdf_url":null,"source":{"id":"https://openalex.org/S4306402319","display_name":"Research Portal (Queen's University Belfast)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I126231945","host_organization_name":"Queen's University Belfast","host_organization_lineage":["https://openalex.org/I126231945"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"McIvor, C, O'Neill, M, McCanny, J, Daly, A & Marnane, W 2003, 'Fast Montgomery modular multiplication and RSA cryptographic processor architectures', Paper presented at 37th Asilomar Conference on Signals, Systems and Computers, Pacific Grove, United States, 01/11/2003 - 01/11/2003 pp. 379-384.","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W136407561","https://openalex.org/W1559063645","https://openalex.org/W1616563283","https://openalex.org/W1660562555","https://openalex.org/W1996360405","https://openalex.org/W2004814164","https://openalex.org/W2033770849","https://openalex.org/W2045682094","https://openalex.org/W2053464283","https://openalex.org/W2079356110","https://openalex.org/W2098235952","https://openalex.org/W2151163104","https://openalex.org/W2156460937","https://openalex.org/W4232836212","https://openalex.org/W6636975353"],"related_works":["https://openalex.org/W2145684309","https://openalex.org/W2114439959","https://openalex.org/W2158990735","https://openalex.org/W2367698220","https://openalex.org/W1543517987","https://openalex.org/W2088925378","https://openalex.org/W1532259586","https://openalex.org/W2154204639","https://openalex.org/W137454325","https://openalex.org/W3196437722"],"abstract_inverted_index":{"New,":[0],"generic":[1],"silicon":[2,93],"architectures":[3,143],"for":[4,30,96],"implementing":[5],"Montgomery's":[6],"multiplication":[7],"algorithm":[8,27],"are":[9,160],"presented.":[10],"These":[11],"use":[12],"carry":[13],"save":[14],"adders":[15],"(CSAs)":[16],"to":[17,53,137,164],"perform":[18],"the":[19,58,62,66,81,89,111,138,161,167],"large":[20],"word":[21],"length":[22],"additions":[23],"required":[24,105],"by":[25,134],"this":[26,129,136],"when":[28],"used":[29],"RSA":[31,141,155],"encryption":[32],"and":[33,79,146,154],"decryption.":[34],"It":[35],"is":[36,104,116],"shown":[37],"that":[38],"using":[39],"a":[40,49,54,69,97,120],"four-to-two":[41],"CSA":[42,51],"with":[43,119,144],"two":[44],"extra":[45],"registers":[46],"rather":[47],"than":[48],"five-to-two":[50],"leads":[52],"useful":[55],"reduction":[56],"in":[57,72,84,92,106,113,123,166],"critical":[59],"path":[60],"of":[61,68,77,102,128,140],"multiplier,":[63],"albeit":[64],"at":[65],"expense":[67],"small":[70],"increase":[71,91,122],"circuitry.":[73],"For":[74],"operand":[75,99],"lengths":[76],"1536-bits":[78],"greater,":[80],"percentage":[82,90],"gain":[83,112],"data":[85,114],"throughput":[86,115],"rate":[87],"outweighs":[88],"area.":[94,124],"Moreover,":[95],"2048-bit":[98],"length,":[100],"typical":[101],"what":[103],"many":[107],"future":[108],"generation":[109],"applications,":[110],"27.9%":[117],"compared":[118],"9.9%":[121],"The":[125,150],"practical":[126],"application":[127],"approach":[130],"has":[131],"been":[132],"demonstrated":[133],"applying":[135],"design":[139],"processor":[142,156],"512-bit":[145],"1024-bit":[147],"key":[148],"sizes.":[149],"resulting":[151],"Montgomery":[152],"multiplier":[153],"performance":[157],"results":[158],"presented":[159],"fastest":[162],"reported":[163],"date":[165],"literature.":[168]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":6}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
