{"id":"https://openalex.org/W2158982101","doi":"https://doi.org/10.1109/sips.2008.4671729","title":"A digit-serial architecture for inversion and multiplication in GF(2<sup>M</sup>)","display_name":"A digit-serial architecture for inversion and multiplication in GF(2<sup>M</sup>)","publication_year":2008,"publication_date":"2008-10-01","ids":{"openalex":"https://openalex.org/W2158982101","doi":"https://doi.org/10.1109/sips.2008.4671729","mag":"2158982101"},"language":"en","primary_location":{"id":"doi:10.1109/sips.2008.4671729","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sips.2008.4671729","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE Workshop on Signal Processing Systems","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100525545","display_name":"Junfeng Fan","orcid":null},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Junfeng Fan","raw_affiliation_strings":["ESAT SCD-COSIC, Katholieke Universiteit Leuven, Leuven, Flemish-Brabant, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ESAT SCD-COSIC, Katholieke Universiteit Leuven, Leuven, Flemish-Brabant, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082347771","display_name":"Ingrid Verbauwhede","orcid":"https://orcid.org/0000-0002-0879-076X"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Ingrid Verbauwhede","raw_affiliation_strings":["ESAT SCD-COSIC, Katholieke Universiteit Leuven, Leuven, Flemish-Brabant, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ESAT SCD-COSIC, Katholieke Universiteit Leuven, Leuven, Flemish-Brabant, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":0.2536,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.53396062,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"7","last_page":"12"},"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":0.9994999766349792,"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":0.9944000244140625,"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/gf","display_name":"GF(2)","score":0.7966534495353699},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5591708421707153},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.5573185682296753},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5350438356399536},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5072972178459167},{"id":"https://openalex.org/keywords/inverter","display_name":"Inverter","score":0.44455865025520325},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.43163004517555237},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.4247962236404419},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3893970847129822},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.38614410161972046},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3113600015640259},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28819313645362854},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.2194475531578064},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.16890248656272888},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13166552782058716},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10341361165046692},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09407240152359009},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.06395596265792847}],"concepts":[{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.7966534495353699},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5591708421707153},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.5573185682296753},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5350438356399536},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5072972178459167},{"id":"https://openalex.org/C11190779","wikidata":"https://www.wikidata.org/wiki/Q664575","display_name":"Inverter","level":3,"score":0.44455865025520325},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.43163004517555237},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.4247962236404419},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3893970847129822},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.38614410161972046},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3113600015640259},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28819313645362854},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.2194475531578064},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.16890248656272888},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13166552782058716},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10341361165046692},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09407240152359009},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.06395596265792847},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"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":2,"locations":[{"id":"doi:10.1109/sips.2008.4671729","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sips.2008.4671729","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE Workshop on Signal Processing Systems","raw_type":"proceedings-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/747162","is_oa":false,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/747162","pdf_url":null,"source":{"id":"https://openalex.org/S7407055369","display_name":"Lirias","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"SIPS 2008, DC, Washington, 8-10 October 2008","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322274","display_name":"iMinds","ror":"https://ror.org/03baec336"},{"id":"https://openalex.org/F4320322308","display_name":"KU Leuven","ror":"https://ror.org/05f950310"},{"id":"https://openalex.org/F4320337392","display_name":"Division of Electrical, Communications and Cyber Systems","ror":"https://ror.org/01krpsy48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W160483608","https://openalex.org/W1487765632","https://openalex.org/W1508193711","https://openalex.org/W1537213669","https://openalex.org/W1540945387","https://openalex.org/W1592482282","https://openalex.org/W1976195864","https://openalex.org/W1989675557","https://openalex.org/W1994773909","https://openalex.org/W2003736153","https://openalex.org/W2036378739","https://openalex.org/W2066621394","https://openalex.org/W2099711671","https://openalex.org/W2110711133","https://openalex.org/W2123923527","https://openalex.org/W2125688582","https://openalex.org/W2136119832","https://openalex.org/W2144047299","https://openalex.org/W2156186849","https://openalex.org/W2163346939","https://openalex.org/W2172744096","https://openalex.org/W2752061190","https://openalex.org/W2912690715","https://openalex.org/W3041379456","https://openalex.org/W6632152811"],"related_works":["https://openalex.org/W2082262878","https://openalex.org/W2395601077","https://openalex.org/W2129786616","https://openalex.org/W2500084106","https://openalex.org/W1546285537","https://openalex.org/W2548632191","https://openalex.org/W3088540478","https://openalex.org/W2361826146","https://openalex.org/W2394069657","https://openalex.org/W2117944786"],"abstract_inverted_index":{"Modular":[0],"multiplication":[1,38,43,80],"and":[2,48,64,78,83],"inversion":[3,26,77],"are":[4],"the":[5,37,46,51],"essential":[6],"operations":[7],"in":[8,23,81],"many":[9],"Public":[10],"Key":[11],"Cryptosystems":[12],"(PKCs).":[13],"In":[14],"this":[15,73],"paper,":[16],"we":[17],"describe":[18],"a":[19,30,41],"unified":[20],"digit-serial":[21],"inverter/multiplier":[22,74],"GF(2m).":[24],"The":[25],"is":[27,39,54],"based":[28,40],"on":[29],"modified":[31],"Extended":[32],"Euclidean":[33],"Algorithm":[34],"(EEA),":[35],"while":[36],"LSB-first":[42],"algorithm.":[44],"As":[45],"inverter":[47],"multiplier":[49],"share":[50],"data-path,":[52],"it":[53],"smaller":[55],"than":[56],"Arithmetic":[57],"Logic":[58],"Units":[59],"(ALUs)":[60],"with":[61],"separated":[62],"inverters":[63],"multipliers.":[65],"When":[66],"choosing":[67],"digit":[68],"size":[69],"to":[70],"be":[71],"w,":[72],"finishes":[75],"one":[76,79],"[2m\u22121/w]":[82],"[m/w]clock":[84],"cycles,":[85],"respectively.":[86]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2016-06-24T00:00:00"}