{"id":"https://openalex.org/W3011837006","doi":"https://doi.org/10.1109/sips47522.2019.9020384","title":"Ultra-Fast Modular Multiplication Implementation for Isogeny-Based Post-Quantum Cryptography","display_name":"Ultra-Fast Modular Multiplication Implementation for Isogeny-Based Post-Quantum Cryptography","publication_year":2019,"publication_date":"2019-10-01","ids":{"openalex":"https://openalex.org/W3011837006","doi":"https://doi.org/10.1109/sips47522.2019.9020384","mag":"3011837006"},"language":"en","primary_location":{"id":"doi:10.1109/sips47522.2019.9020384","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sips47522.2019.9020384","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Workshop on Signal Processing Systems (SiPS)","raw_type":"proceedings-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/A5046054983","display_name":"Jing Tian","orcid":"https://orcid.org/0000-0003-2402-523X"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jing Tian","raw_affiliation_strings":["School of Electronic Science and Engineering, Nanjing University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic Science and Engineering, Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019940239","display_name":"Jun Lin","orcid":"https://orcid.org/0000-0003-2760-4333"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Lin","raw_affiliation_strings":["School of Electronic Science and Engineering, Nanjing University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic Science and Engineering, Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100696999","display_name":"Zhongfeng Wang","orcid":"https://orcid.org/0000-0002-7227-4786"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongfeng Wang","raw_affiliation_strings":["School of Electronic Science and Engineering, Nanjing University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic Science and Engineering, Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046054983"],"corresponding_institution_ids":["https://openalex.org/I881766915"],"apc_list":null,"apc_paid":null,"fwci":3.3914,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.93814284,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"97","last_page":"102"},"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":0.9975000023841858,"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":0.9952999949455261,"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/isogeny","display_name":"Isogeny","score":0.7684229612350464},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7442577481269836},{"id":"https://openalex.org/keywords/post-quantum-cryptography","display_name":"Post-quantum cryptography","score":0.6572093367576599},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.6051340699195862},{"id":"https://openalex.org/keywords/bottleneck","display_name":"Bottleneck","score":0.5803922414779663},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5536827445030212},{"id":"https://openalex.org/keywords/key-encapsulation","display_name":"Key encapsulation","score":0.53218013048172},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.4971969425678253},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.47519123554229736},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4624289572238922},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.4453417658805847},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4214727580547333},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.4193676710128784},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.37228500843048096},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.33733421564102173},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27142274379730225},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.2540561556816101},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.22100064158439636},{"id":"https://openalex.org/keywords/key-exchange","display_name":"Key exchange","score":0.19640502333641052},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17202958464622498},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.08101397752761841}],"concepts":[{"id":"https://openalex.org/C2779765290","wikidata":"https://www.wikidata.org/wiki/Q1674414","display_name":"Isogeny","level":3,"score":0.7684229612350464},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7442577481269836},{"id":"https://openalex.org/C108277079","wikidata":"https://www.wikidata.org/wiki/Q7233576","display_name":"Post-quantum cryptography","level":4,"score":0.6572093367576599},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.6051340699195862},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.5803922414779663},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5536827445030212},{"id":"https://openalex.org/C35181327","wikidata":"https://www.wikidata.org/wiki/Q6398156","display_name":"Key encapsulation","level":5,"score":0.53218013048172},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4971969425678253},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.47519123554229736},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4624289572238922},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.4453417658805847},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4214727580547333},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.4193676710128784},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.37228500843048096},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.33733421564102173},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27142274379730225},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.2540561556816101},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.22100064158439636},{"id":"https://openalex.org/C99674996","wikidata":"https://www.wikidata.org/wiki/Q1414155","display_name":"Key exchange","level":4,"score":0.19640502333641052},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17202958464622498},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.08101397752761841},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/sips47522.2019.9020384","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sips47522.2019.9020384","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Workshop on Signal Processing Systems (SiPS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.5199999809265137,"display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W43667552","https://openalex.org/W1498685334","https://openalex.org/W1987475429","https://openalex.org/W2004814164","https://openalex.org/W2033770849","https://openalex.org/W2118409148","https://openalex.org/W2405465264","https://openalex.org/W2540113050","https://openalex.org/W2605112356","https://openalex.org/W2790801128","https://openalex.org/W2809876870","https://openalex.org/W2889448050","https://openalex.org/W2903772547","https://openalex.org/W2915600699","https://openalex.org/W4237773356","https://openalex.org/W4243779250","https://openalex.org/W4406256860","https://openalex.org/W6629789561","https://openalex.org/W6753117783"],"related_works":["https://openalex.org/W3024869997","https://openalex.org/W3031061829","https://openalex.org/W4319158827","https://openalex.org/W2996613602","https://openalex.org/W3086755341","https://openalex.org/W4212923121","https://openalex.org/W2968685279","https://openalex.org/W2990397416","https://openalex.org/W3022587607","https://openalex.org/W3047479989"],"abstract_inverted_index":{"Supersingular":[0],"isogeny":[1],"key":[2,11],"encapsulation":[3],"(SIKE)":[4],"protocol":[5],"delivers":[6],"promising":[7],"public":[8],"and":[9,24,143],"secret":[10],"sizes":[12],"over":[13,122],"other":[14],"post-quantum":[15],"candidates.":[16],"However,":[17],"the":[18,22,37,43,52,55,71,92,98,130,140,164],"huge":[19],"computations":[20,53],"form":[21],"bottleneck":[23],"limit":[25],"its":[26,114],"practical":[27],"applications.":[28],"The":[29,125],"modular":[30,87],"multiplication":[31,66],"operation,":[32],"which":[33,69,118],"is":[34,95],"one":[35],"of":[36,51,166],"most":[38],"computationally":[39],"demanding":[40],"operations":[41],"in":[42,54],"fundamental":[44],"arithmetics,":[45],"takes":[46],"up":[47],"a":[48,84,107],"large":[49],"part":[50],"protocol.":[56,168],"In":[57],"this":[58,167],"paper,":[59],"we":[60,155],"propose":[61],"an":[62],"improved":[63],"unconventional-radix":[64],"finite-field":[65],"(IFFM)":[67],"algorithm":[68],"reduces":[70],"computational":[72],"complexity":[73],"by":[74],"about":[75,134],"20%":[76],"compared":[77],"to":[78,105,113,163],"previous":[79,152],"algorithms.":[80],"We":[81],"then":[82],"devise":[83],"new":[85],"high-speed":[86],"multiplier":[88,132],"architecture":[89,100],"based":[90],"on":[91],"IFFM.":[93],"It":[94],"shown":[96],"that":[97,157],"proposed":[99,131],"can":[101],"be":[102],"extensively":[103],"pipelined":[104],"achieve":[106],"very":[108],"high":[109],"clock":[110],"speed":[111],"due":[112],"complete":[115],"feedforward":[116],"scheme,":[117],"demonstrates":[119],"significant":[120],"advantages":[121],"conventional":[123],"designs.":[124],"FPGA":[126],"implementation":[127],"results":[128],"show":[129],"has":[133],"67":[135],"times":[136,147],"faster":[137],"throughput":[138],"than":[139,145,151],"state-of-the-art":[141],"designs":[142],"more":[144],"12":[146],"better":[148],"area":[149],"efficiency":[150],"works.":[153],"Therefore,":[154],"think":[156],"these":[158],"achievements":[159],"will":[160],"greatly":[161],"contribute":[162],"practicability":[165]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}