{"id":"https://openalex.org/W3123967521","doi":"https://doi.org/10.1109/ddecs52668.2021.9417065","title":"An Open-source Library of Large Integer Polynomial Multipliers","display_name":"An Open-source Library of Large Integer Polynomial Multipliers","publication_year":2021,"publication_date":"2021-04-07","ids":{"openalex":"https://openalex.org/W3123967521","doi":"https://doi.org/10.1109/ddecs52668.2021.9417065","mag":"3123967521"},"language":"en","primary_location":{"id":"doi:10.1109/ddecs52668.2021.9417065","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ddecs52668.2021.9417065","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 24th International Symposium on Design and Diagnostics of Electronic Circuits &amp; Systems (DDECS)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2101.11404","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043985181","display_name":"Malik Imran","orcid":"https://orcid.org/0000-0002-1900-6387"},"institutions":[{"id":"https://openalex.org/I111112146","display_name":"Tallinn University of Technology","ror":"https://ror.org/0443cwa12","country_code":"EE","type":"education","lineage":["https://openalex.org/I111112146"]}],"countries":["EE"],"is_corresponding":true,"raw_author_name":"Malik Imran","raw_affiliation_strings":["Centre for Hardware Security, Tallinn University of Technology, Tallinn, Estonia","Tallinn University of Technology,Centre for Hardware Security,Tallinn,Estonia"],"affiliations":[{"raw_affiliation_string":"Centre for Hardware Security, Tallinn University of Technology, Tallinn, Estonia","institution_ids":["https://openalex.org/I111112146"]},{"raw_affiliation_string":"Tallinn University of Technology,Centre for Hardware Security,Tallinn,Estonia","institution_ids":["https://openalex.org/I111112146"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050135442","display_name":"Zain Ul Abideen","orcid":"https://orcid.org/0000-0002-8865-9402"},"institutions":[{"id":"https://openalex.org/I111112146","display_name":"Tallinn University of Technology","ror":"https://ror.org/0443cwa12","country_code":"EE","type":"education","lineage":["https://openalex.org/I111112146"]}],"countries":["EE"],"is_corresponding":false,"raw_author_name":"Zain Ul Abideen","raw_affiliation_strings":["Centre for Hardware Security, Tallinn University of Technology, Tallinn, Estonia","Tallinn University of Technology,Centre for Hardware Security,Tallinn,Estonia"],"affiliations":[{"raw_affiliation_string":"Centre for Hardware Security, Tallinn University of Technology, Tallinn, Estonia","institution_ids":["https://openalex.org/I111112146"]},{"raw_affiliation_string":"Tallinn University of Technology,Centre for Hardware Security,Tallinn,Estonia","institution_ids":["https://openalex.org/I111112146"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060594809","display_name":"Samuel Pagliarini","orcid":"https://orcid.org/0000-0002-5294-0606"},"institutions":[{"id":"https://openalex.org/I111112146","display_name":"Tallinn University of Technology","ror":"https://ror.org/0443cwa12","country_code":"EE","type":"education","lineage":["https://openalex.org/I111112146"]}],"countries":["EE"],"is_corresponding":false,"raw_author_name":"Samuel Pagliarini","raw_affiliation_strings":["Centre for Hardware Security, Tallinn University of Technology, Tallinn, Estonia","Tallinn University of Technology,Centre for Hardware Security,Tallinn,Estonia"],"affiliations":[{"raw_affiliation_string":"Centre for Hardware Security, Tallinn University of Technology, Tallinn, Estonia","institution_ids":["https://openalex.org/I111112146"]},{"raw_affiliation_string":"Tallinn University of Technology,Centre for Hardware Security,Tallinn,Estonia","institution_ids":["https://openalex.org/I111112146"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043985181"],"corresponding_institution_ids":["https://openalex.org/I111112146"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01195783,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"145","last_page":"150"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9994000196456909,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9986000061035156,"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/application-specific-integrated-circuit","display_name":"Application-specific integrated circuit","score":0.728010892868042},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6939359903335571},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.6042276620864868},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5603964328765869},{"id":"https://openalex.org/keywords/verilog","display_name":"Verilog","score":0.5541691184043884},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.49392634630203247},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.47432512044906616},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.4247729182243347},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3874117136001587},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.38132330775260925},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36658865213394165},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.2928808331489563},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26272690296173096},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25696510076522827},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.13772955536842346},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.08479645848274231}],"concepts":[{"id":"https://openalex.org/C77390884","wikidata":"https://www.wikidata.org/wiki/Q217302","display_name":"Application-specific integrated circuit","level":2,"score":0.728010892868042},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6939359903335571},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.6042276620864868},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5603964328765869},{"id":"https://openalex.org/C2779030575","wikidata":"https://www.wikidata.org/wiki/Q827773","display_name":"Verilog","level":3,"score":0.5541691184043884},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.49392634630203247},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.47432512044906616},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.4247729182243347},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3874117136001587},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.38132330775260925},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36658865213394165},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.2928808331489563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26272690296173096},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25696510076522827},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.13772955536842346},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.08479645848274231},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/ddecs52668.2021.9417065","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ddecs52668.2021.9417065","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 24th International Symposium on Design and Diagnostics of Electronic Circuits &amp; Systems (DDECS)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2101.11404","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.11404","pdf_url":"https://arxiv.org/pdf/2101.11404","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:3123967521","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2101.11404.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2101.11404","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2101.11404","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2101.11404","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.11404","pdf_url":"https://arxiv.org/pdf/2101.11404","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320338080","display_name":"European Social Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3123967521.pdf","grobid_xml":"https://content.openalex.org/works/W3123967521.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1956883152","https://openalex.org/W1978602192","https://openalex.org/W2042872772","https://openalex.org/W2045066558","https://openalex.org/W2048994663","https://openalex.org/W2592527754","https://openalex.org/W2795031321","https://openalex.org/W2900984439","https://openalex.org/W2982333356","https://openalex.org/W2991625758","https://openalex.org/W3048071914","https://openalex.org/W3094060727","https://openalex.org/W3100599485"],"related_works":["https://openalex.org/W3158968530","https://openalex.org/W3020526900","https://openalex.org/W2546895366","https://openalex.org/W2512599461","https://openalex.org/W2948829558","https://openalex.org/W158480116","https://openalex.org/W2592527754","https://openalex.org/W2177926143","https://openalex.org/W2520429166","https://openalex.org/W1490613968","https://openalex.org/W2122875581","https://openalex.org/W1557431007","https://openalex.org/W3048071914","https://openalex.org/W2125644186","https://openalex.org/W2418740059","https://openalex.org/W2804251114","https://openalex.org/W2079219927","https://openalex.org/W2588936225","https://openalex.org/W2152226357","https://openalex.org/W2022113215"],"abstract_inverted_index":{"Polynomial":[0],"multiplication":[1],"is":[2,61,77],"a":[3,30,64,102,116],"bottleneck":[4],"in":[5,41,73],"most":[6],"of":[7,17,32,97,107,126],"the":[8,18,70,98,111,121],"public-key":[9],"cryptography":[10,14,20],"protocols,":[11],"including":[12],"Elliptic-curve":[13],"and":[15,49,81,91,105],"several":[16,108],"post-quantum":[19],"algorithms":[21],"presently":[22],"being":[23],"studied.":[24],"In":[25],"this":[26],"paper,":[27],"we":[28],"present":[29],"library":[31,45,60],"various":[33],"large":[34],"integer":[35],"polynomial":[36,127],"multipliers":[37],"to":[38,56,118],"be":[39],"used":[40],"hardware":[42],"cryptocores.":[43],"Our":[44],"contains":[46],"both":[47],"digitized":[48],"non-digitized":[50],"multiplier":[51],"flavours":[52],"for":[53,79,85,101],"circuit":[54],"designers":[55],"choose":[57],"from.":[58],"The":[59,95],"supported":[62],"by":[63],"C++":[65],"generator":[66,99],"that":[67,76],"automatically":[68],"produces":[69],"multipliers'":[71],"logic":[72],"Verilog":[74],"HDL":[75],"amenable":[78],"FPGA":[80],"ASIC":[82],"designs.":[83],"Moreover,":[84],"ASICs,":[86],"it":[87],"also":[88],"generates":[89],"configurable":[90],"parameterizable":[92],"synthesis":[93],"scripts.":[94],"features":[96],"allow":[100],"quick":[103],"generation":[104],"assessment":[106],"architectures":[109],"at":[110],"same":[112],"time,":[113],"thus":[114],"allowing":[115],"designer":[117],"easily":[119],"explore":[120],"(complex)":[122],"optimization":[123],"search":[124],"space":[125],"multiplication.":[128]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
