{"id":"https://openalex.org/W2054064739","doi":"https://doi.org/10.1007/s11036-007-0019-z","title":"New and Improved Architectures for Montgomery Modular Multiplication","display_name":"New and Improved Architectures for Montgomery Modular Multiplication","publication_year":2007,"publication_date":"2007-10-04","ids":{"openalex":"https://openalex.org/W2054064739","doi":"https://doi.org/10.1007/s11036-007-0019-z","mag":"2054064739"},"language":"en","primary_location":{"id":"doi:10.1007/s11036-007-0019-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11036-007-0019-z","pdf_url":null,"source":{"id":"https://openalex.org/S192894947","display_name":"Mobile Networks and Applications","issn_l":"1383-469X","issn":["1383-469X","1572-8153"],"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":"Mobile Networks and Applications","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/A5011809809","display_name":"M. Sudhakar","orcid":null},"institutions":[{"id":"https://openalex.org/I64189192","display_name":"International Institute of Information Technology, Hyderabad","ror":"https://ror.org/05f11g639","country_code":"IN","type":"education","lineage":["https://openalex.org/I64189192"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"M. Sudhakar","raw_affiliation_strings":["Center for VLSI and Embedded System Technologies, International Institute of Information Technology, Hyderabad, Andhra Pradesh, India, 500032","Center for VLSI and Embedded System Technologies, International Institute of Information Technology, Hyderabad, Andhra Pradesh, India#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for VLSI and Embedded System Technologies, International Institute of Information Technology, Hyderabad, Andhra Pradesh, India, 500032","institution_ids":["https://openalex.org/I64189192"]},{"raw_affiliation_string":"Center for VLSI and Embedded System Technologies, International Institute of Information Technology, Hyderabad, Andhra Pradesh, India#TAB#","institution_ids":["https://openalex.org/I64189192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086863985","display_name":"R.V. Kamala","orcid":null},"institutions":[{"id":"https://openalex.org/I64189192","display_name":"International Institute of Information Technology, Hyderabad","ror":"https://ror.org/05f11g639","country_code":"IN","type":"education","lineage":["https://openalex.org/I64189192"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. V. Kamala","raw_affiliation_strings":["Center for VLSI and Embedded System Technologies, International Institute of Information Technology, Hyderabad, Andhra Pradesh, India, 500032","Center for VLSI and Embedded System Technologies, International Institute of Information Technology, Hyderabad, Andhra Pradesh, India#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for VLSI and Embedded System Technologies, International Institute of Information Technology, Hyderabad, Andhra Pradesh, India, 500032","institution_ids":["https://openalex.org/I64189192"]},{"raw_affiliation_string":"Center for VLSI and Embedded System Technologies, International Institute of Information Technology, Hyderabad, Andhra Pradesh, India#TAB#","institution_ids":["https://openalex.org/I64189192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040702094","display_name":"M. Srinivas","orcid":"https://orcid.org/0000-0002-5431-0990"},"institutions":[{"id":"https://openalex.org/I64189192","display_name":"International Institute of Information Technology, Hyderabad","ror":"https://ror.org/05f11g639","country_code":"IN","type":"education","lineage":["https://openalex.org/I64189192"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"M. B. Srinivas","raw_affiliation_strings":["Center for VLSI and Embedded System Technologies, International Institute of Information Technology, Hyderabad, Andhra Pradesh, India, 500032","Center for VLSI and Embedded System Technologies, International Institute of Information Technology, Hyderabad, Andhra Pradesh, India#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for VLSI and Embedded System Technologies, International Institute of Information Technology, Hyderabad, Andhra Pradesh, India, 500032","institution_ids":["https://openalex.org/I64189192"]},{"raw_affiliation_string":"Center for VLSI and Embedded System Technologies, International Institute of Information Technology, Hyderabad, Andhra Pradesh, India#TAB#","institution_ids":["https://openalex.org/I64189192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011809809"],"corresponding_institution_ids":["https://openalex.org/I64189192"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.11639136,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"12","issue":"4","first_page":"281","last_page":"291"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9925000071525574,"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/T11130","display_name":"Coding theory and cryptography","score":0.9908000230789185,"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/computer-science","display_name":"Computer science","score":0.8027042150497437},{"id":"https://openalex.org/keywords/operand","display_name":"Operand","score":0.7628768682479858},{"id":"https://openalex.org/keywords/modular-exponentiation","display_name":"Modular exponentiation","score":0.6924508810043335},{"id":"https://openalex.org/keywords/adder","display_name":"Adder","score":0.5663434267044067},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.5611847639083862},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5414834022521973},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5178471207618713},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5177837610244751},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.5089120864868164},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.46859851479530334},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.45869511365890503},{"id":"https://openalex.org/keywords/pipeline","display_name":"Pipeline (software)","score":0.4469357430934906},{"id":"https://openalex.org/keywords/carry-save-adder","display_name":"Carry-save adder","score":0.4411987066268921},{"id":"https://openalex.org/keywords/carry","display_name":"Carry (investment)","score":0.4236436188220978},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4144548773765564},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.367495059967041},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.33290380239486694},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3246766924858093},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.18539968132972717},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17326417565345764},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.15695074200630188},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.12718212604522705}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8027042150497437},{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.7628768682479858},{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.6924508810043335},{"id":"https://openalex.org/C164620267","wikidata":"https://www.wikidata.org/wiki/Q376953","display_name":"Adder","level":3,"score":0.5663434267044067},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.5611847639083862},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5414834022521973},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5178471207618713},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5177837610244751},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.5089120864868164},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.46859851479530334},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.45869511365890503},{"id":"https://openalex.org/C43521106","wikidata":"https://www.wikidata.org/wiki/Q2165493","display_name":"Pipeline (software)","level":2,"score":0.4469357430934906},{"id":"https://openalex.org/C3227080","wikidata":"https://www.wikidata.org/wiki/Q5046770","display_name":"Carry-save adder","level":4,"score":0.4411987066268921},{"id":"https://openalex.org/C2776299755","wikidata":"https://www.wikidata.org/wiki/Q432449","display_name":"Carry (investment)","level":2,"score":0.4236436188220978},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4144548773765564},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.367495059967041},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.33290380239486694},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3246766924858093},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.18539968132972717},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17326417565345764},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.15695074200630188},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.12718212604522705},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11036-007-0019-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11036-007-0019-z","pdf_url":null,"source":{"id":"https://openalex.org/S192894947","display_name":"Mobile Networks and Applications","issn_l":"1383-469X","issn":["1383-469X","1572-8153"],"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":"Mobile Networks and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1490476950","https://openalex.org/W1508193711","https://openalex.org/W1559063645","https://openalex.org/W1660562555","https://openalex.org/W1825396486","https://openalex.org/W1950989567","https://openalex.org/W1996360405","https://openalex.org/W2003736153","https://openalex.org/W2004814164","https://openalex.org/W2036378739","https://openalex.org/W2076775530","https://openalex.org/W2088925378","https://openalex.org/W2106396572","https://openalex.org/W2110122313","https://openalex.org/W2113287980","https://openalex.org/W2128718974","https://openalex.org/W2140850958","https://openalex.org/W2156186849","https://openalex.org/W2188056706","https://openalex.org/W4232836212"],"related_works":["https://openalex.org/W1529958278","https://openalex.org/W3182915524","https://openalex.org/W2285294304","https://openalex.org/W1995898468","https://openalex.org/W2126703276","https://openalex.org/W122256349","https://openalex.org/W1528435681","https://openalex.org/W2145092061","https://openalex.org/W2044062660","https://openalex.org/W2389867446"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}