{"id":"https://openalex.org/W4411949907","doi":"https://doi.org/10.1109/tcad.2025.3584844","title":"Big Integer Parallel Stream Modular Multiplier With Variable Bit-Widths","display_name":"Big Integer Parallel Stream Modular Multiplier With Variable Bit-Widths","publication_year":2025,"publication_date":"2025-07-02","ids":{"openalex":"https://openalex.org/W4411949907","doi":"https://doi.org/10.1109/tcad.2025.3584844"},"language":"en","primary_location":{"id":"doi:10.1109/tcad.2025.3584844","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2025.3584844","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","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/A5026224233","display_name":"Oleg Mazonka","orcid":"https://orcid.org/0000-0001-5131-9044"},"institutions":[{"id":"https://openalex.org/I120250893","display_name":"New York University Abu Dhabi","ror":"https://ror.org/00e5k0821","country_code":"AE","type":"education","lineage":["https://openalex.org/I120250893","https://openalex.org/I57206974"]}],"countries":["AE"],"is_corresponding":true,"raw_author_name":"Oleg Mazonka","raw_affiliation_strings":["Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, UAE","Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates"],"raw_orcid":"https://orcid.org/0000-0001-5131-9044","affiliations":[{"raw_affiliation_string":"Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, UAE","institution_ids":[]},{"raw_affiliation_string":"Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates","institution_ids":["https://openalex.org/I120250893"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071386756","display_name":"Eduardo Chielle","orcid":"https://orcid.org/0000-0002-1938-912X"},"institutions":[{"id":"https://openalex.org/I120250893","display_name":"New York University Abu Dhabi","ror":"https://ror.org/00e5k0821","country_code":"AE","type":"education","lineage":["https://openalex.org/I120250893","https://openalex.org/I57206974"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Eduardo Chielle","raw_affiliation_strings":["Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, UAE","Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates"],"raw_orcid":"https://orcid.org/0000-0002-1938-912X","affiliations":[{"raw_affiliation_string":"Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, UAE","institution_ids":[]},{"raw_affiliation_string":"Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates","institution_ids":["https://openalex.org/I120250893"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080736213","display_name":"Mohammed Nabeel Thari Moopan","orcid":"https://orcid.org/0000-0002-3924-7356"},"institutions":[{"id":"https://openalex.org/I120250893","display_name":"New York University Abu Dhabi","ror":"https://ror.org/00e5k0821","country_code":"AE","type":"education","lineage":["https://openalex.org/I120250893","https://openalex.org/I57206974"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Mohammed Nabeel","raw_affiliation_strings":["Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, UAE","Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates"],"raw_orcid":"https://orcid.org/0000-0002-3924-7356","affiliations":[{"raw_affiliation_string":"Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, UAE","institution_ids":[]},{"raw_affiliation_string":"Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates","institution_ids":["https://openalex.org/I120250893"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022868555","display_name":"Homer Gamil","orcid":"https://orcid.org/0000-0003-3256-783X"},"institutions":[{"id":"https://openalex.org/I120250893","display_name":"New York University Abu Dhabi","ror":"https://ror.org/00e5k0821","country_code":"AE","type":"education","lineage":["https://openalex.org/I120250893","https://openalex.org/I57206974"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Homer Gamil","raw_affiliation_strings":["Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, UAE","Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates"],"raw_orcid":"https://orcid.org/0000-0003-3256-783X","affiliations":[{"raw_affiliation_string":"Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, UAE","institution_ids":[]},{"raw_affiliation_string":"Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates","institution_ids":["https://openalex.org/I120250893"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043325974","display_name":"Michail Maniatakos","orcid":"https://orcid.org/0000-0001-6899-0651"},"institutions":[{"id":"https://openalex.org/I120250893","display_name":"New York University Abu Dhabi","ror":"https://ror.org/00e5k0821","country_code":"AE","type":"education","lineage":["https://openalex.org/I120250893","https://openalex.org/I57206974"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Michail Maniatakos","raw_affiliation_strings":["Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, UAE","Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates"],"raw_orcid":"https://orcid.org/0000-0001-6899-0651","affiliations":[{"raw_affiliation_string":"Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, UAE","institution_ids":[]},{"raw_affiliation_string":"Center for Cyber Security, New York University Abu Dhabi, Abu Dhabi, United Arab Emirates","institution_ids":["https://openalex.org/I120250893"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5026224233"],"corresponding_institution_ids":["https://openalex.org/I120250893"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16377323,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"2","first_page":"589","last_page":"602"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9988999962806702,"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":0.9973999857902527,"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/modular-design","display_name":"Modular design","score":0.6304925084114075},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.614632785320282},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5634821057319641},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5013742446899414},{"id":"https://openalex.org/keywords/bit","display_name":"Bit (key)","score":0.4932986795902252},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.470263808965683},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4676387310028076},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4470387399196625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3274994194507599},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1028721034526825},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.08821362257003784},{"id":"https://openalex.org/keywords/keynesian-economics","display_name":"Keynesian economics","score":0.0680462121963501},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05414268374443054}],"concepts":[{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.6304925084114075},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.614632785320282},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5634821057319641},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5013742446899414},{"id":"https://openalex.org/C117011727","wikidata":"https://www.wikidata.org/wiki/Q1278488","display_name":"Bit (key)","level":2,"score":0.4932986795902252},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.470263808965683},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4676387310028076},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4470387399196625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3274994194507599},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1028721034526825},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.08821362257003784},{"id":"https://openalex.org/C165556158","wikidata":"https://www.wikidata.org/wiki/Q83937","display_name":"Keynesian economics","level":1,"score":0.0680462121963501},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05414268374443054},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcad.2025.3584844","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcad.2025.3584844","pdf_url":null,"source":{"id":"https://openalex.org/S100835903","display_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","issn_l":"0278-0070","issn":["0278-0070","1937-4151"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6784645388","display_name":null,"funder_award_id":"HR0011-21-9-0003","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"}],"funders":[{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W321672375","https://openalex.org/W1498685334","https://openalex.org/W1584385726","https://openalex.org/W1940262459","https://openalex.org/W1992719330","https://openalex.org/W1996848756","https://openalex.org/W2004814164","https://openalex.org/W2039371093","https://openalex.org/W2063884927","https://openalex.org/W2107892515","https://openalex.org/W2142206144","https://openalex.org/W2152926062","https://openalex.org/W2515535153","https://openalex.org/W2527617455","https://openalex.org/W2542845775","https://openalex.org/W2563139900","https://openalex.org/W2625329361","https://openalex.org/W2768026356","https://openalex.org/W2899140612","https://openalex.org/W2951880831","https://openalex.org/W3016585670","https://openalex.org/W3110374082","https://openalex.org/W3123229602","https://openalex.org/W3131167714","https://openalex.org/W4205198354","https://openalex.org/W4205350912","https://openalex.org/W4213435507","https://openalex.org/W4250318009","https://openalex.org/W4387234637","https://openalex.org/W4393188722","https://openalex.org/W4396956522","https://openalex.org/W4408750166"],"related_works":["https://openalex.org/W4327546585","https://openalex.org/W2411923897","https://openalex.org/W4394546135","https://openalex.org/W4285347720","https://openalex.org/W4200259850","https://openalex.org/W2333831899","https://openalex.org/W2484894494","https://openalex.org/W2367385042","https://openalex.org/W4381186982","https://openalex.org/W4281295723"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"present":[4],"a":[5,41,66,125],"new":[6],"modular":[7],"multiplier":[8,22,46,98,112,132],"design":[9],"that":[10],"offers":[11],"flexibility":[12,152],"regarding":[13],"the":[14,29,79,90,94,146],"operand":[15,84],"sizes":[16,27,85],"it":[17],"processes":[18],"in":[19,64,102,133],"parallel.":[20],"The":[21,97],"can":[23,47,86,99],"efficiently":[24],"compute":[25],"different":[26],"using":[28,78,124],"same":[30,80],"ASIC":[31,81],"hardware,":[32,82],"enabling":[33],"parallel":[34,150],"computations":[35],"for":[36,39,107],"smaller":[37],"sizes,":[38],"example":[40],"1024-bit":[42],"instantiation":[43],"of":[44,68,122,149],"our":[45,111,131],"perform":[48],"either":[49],"one":[50],"1024-bit,":[51],"sixteen":[52],"64-bit,":[53],"or":[54,74],"four":[55],"256-bit":[56],"multiplications,":[57],"etc.":[58],"This":[59],"capability":[60],"is":[61],"particularly":[62],"valuable":[63],"accelerating":[65],"plethora":[67],"cryptosystems,":[69],"such":[70],"as":[71],"RSA,":[72],"ECC,":[73],"Fully":[75],"Homomorphic":[76],"Encryption,":[77],"since":[83],"vary":[87],"depending":[88],"on":[89],"security":[91],"parameters":[92],"and":[93,119,135],"application":[95],"requirements.":[96],"be":[100],"used":[101],"conjunction":[103],"with":[104],"software":[105],"methods":[106],"parallelization.":[108],"For":[109],"instance,":[110],"enables":[113],"users":[114],"to":[115,140],"employ":[116],"both":[117],"RNS":[118],"non-RNS":[120],"versions":[121],"FHE":[123],"single":[126],"hardware":[127,134],"accelerator.":[128],"We":[129],"implement":[130],"demonstrate":[136],"its":[137],"efficiency":[138],"compared":[139],"state-of-theart":[141],"Montgomery":[142],"designs,":[143],"while":[144],"offering":[145],"additional":[147],"advantage":[148],"processing":[151]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}