{"id":"https://openalex.org/W4400413557","doi":"https://doi.org/10.62056/aee0zoja5","title":"Provably Secure and Area-Efficient Modular Addition over Boolean Shares","display_name":"Provably Secure and Area-Efficient Modular Addition over Boolean Shares","publication_year":2024,"publication_date":"2024-07-08","ids":{"openalex":"https://openalex.org/W4400413557","doi":"https://doi.org/10.62056/aee0zoja5"},"language":"en","primary_location":{"id":"doi:10.62056/aee0zoja5","is_oa":true,"landing_page_url":"https://doi.org/10.62056/aee0zoja5","pdf_url":"https://cic.iacr.org/p/1/2/9/pdf","source":{"id":"https://openalex.org/S4394708374","display_name":"IACR Communications in Cryptology","issn_l":"3006-5496","issn":["3006-5496"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320989","host_organization_name":"International Association for Cryptologic Research","host_organization_lineage":["https://openalex.org/P4310320989"],"host_organization_lineage_names":["International Association for Cryptologic Research"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IACR Communications in Cryptology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://cic.iacr.org/p/1/2/9/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092016321","display_name":"Guilh\u00e8m Assael","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210104693","display_name":"STMicroelectronics (France)","ror":"https://ror.org/01c74sd89","country_code":"FR","type":"company","lineage":["https://openalex.org/I131827901","https://openalex.org/I4210104693"]},{"id":"https://openalex.org/I4210124177","display_name":"STMicroelectronics (Czechia)","ror":"https://ror.org/03c7ss521","country_code":"CZ","type":"company","lineage":["https://openalex.org/I131827901","https://openalex.org/I4210124177"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["CZ","FR"],"is_corresponding":true,"raw_author_name":"Guilh\u00e8m Assael","raw_affiliation_strings":["STMicroelectronics","Univ. Grenoble Alpes, CNRS, IF","ST-ROUSSET - STMicroelectronics [Rousset] (ZI de Peynier Rousset, avenue Celestin Coq - 13790 Rousset - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"STMicroelectronics","institution_ids":["https://openalex.org/I4210124177"]},{"raw_affiliation_string":"Univ. Grenoble Alpes, CNRS, IF","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I899635006"]},{"raw_affiliation_string":"ST-ROUSSET - STMicroelectronics [Rousset] (ZI de Peynier Rousset, avenue Celestin Coq - 13790 Rousset - France)","institution_ids":["https://openalex.org/I4210104693"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026018888","display_name":"Philippe Elbaz\u2013Vincent","orcid":"https://orcid.org/0000-0002-8629-3021"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Philippe Elbaz-Vincent","raw_affiliation_strings":["Univ. Grenoble Alpes, CNRS, IF"],"raw_orcid":"https://orcid.org/0000-0002-8629-3021","affiliations":[{"raw_affiliation_string":"Univ. Grenoble Alpes, CNRS, IF","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I899635006"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5092016321"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210104693","https://openalex.org/I4210124177","https://openalex.org/I899635006"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07992023,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9998999834060669,"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/T12122","display_name":"Physical Unclonable Functions (PUFs) and Hardware Security","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/arithmetic","display_name":"Arithmetic","score":0.6627542972564697},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5798377394676208},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5554076433181763},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.48091384768486023},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.475516140460968},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.46114876866340637},{"id":"https://openalex.org/keywords/subtraction","display_name":"Subtraction","score":0.4167303442955017},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3846949636936188},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3519424796104431},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.278661847114563}],"concepts":[{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6627542972564697},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5798377394676208},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5554076433181763},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.48091384768486023},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.475516140460968},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.46114876866340637},{"id":"https://openalex.org/C68060419","wikidata":"https://www.wikidata.org/wiki/Q40754","display_name":"Subtraction","level":2,"score":0.4167303442955017},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3846949636936188},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3519424796104431},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.278661847114563}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.62056/aee0zoja5","is_oa":true,"landing_page_url":"https://doi.org/10.62056/aee0zoja5","pdf_url":"https://cic.iacr.org/p/1/2/9/pdf","source":{"id":"https://openalex.org/S4394708374","display_name":"IACR Communications in Cryptology","issn_l":"3006-5496","issn":["3006-5496"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320989","host_organization_name":"International Association for Cryptologic Research","host_organization_lineage":["https://openalex.org/P4310320989"],"host_organization_lineage_names":["International Association for Cryptologic Research"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IACR Communications in Cryptology","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04669214v1","is_oa":true,"landing_page_url":"https://hal.univ-grenoble-alpes.fr/hal-04669214","pdf_url":"https://hal.univ-grenoble-alpes.fr/hal-04669214/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"IACR Communications in Cryptology, 2024, 1 (2), pp.9. ⟨10.62056/aee0zoja5⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.62056/aee0zoja5","is_oa":true,"landing_page_url":"https://doi.org/10.62056/aee0zoja5","pdf_url":"https://cic.iacr.org/p/1/2/9/pdf","source":{"id":"https://openalex.org/S4394708374","display_name":"IACR Communications in Cryptology","issn_l":"3006-5496","issn":["3006-5496"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320989","host_organization_name":"International Association for Cryptologic Research","host_organization_lineage":["https://openalex.org/P4310320989"],"host_organization_lineage_names":["International Association for Cryptologic Research"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IACR Communications in Cryptology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2121614283","display_name":null,"funder_award_id":"IDEX-02","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6825150759","display_name":null,"funder_award_id":"ANR-15-IDEX-02","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400413557.pdf"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W96383189","https://openalex.org/W191000419","https://openalex.org/W1491520029","https://openalex.org/W1541150254","https://openalex.org/W1566796882","https://openalex.org/W1592625985","https://openalex.org/W1897761346","https://openalex.org/W1976039195","https://openalex.org/W2052363354","https://openalex.org/W2096648424","https://openalex.org/W2131647018","https://openalex.org/W2132250906","https://openalex.org/W2172067349","https://openalex.org/W2466176639","https://openalex.org/W2751043011","https://openalex.org/W2785011856","https://openalex.org/W2794781100","https://openalex.org/W2989118151","https://openalex.org/W3004433901","https://openalex.org/W3037092799","https://openalex.org/W3085353452","https://openalex.org/W3133865019","https://openalex.org/W3159164431","https://openalex.org/W3184500914","https://openalex.org/W4206155091","https://openalex.org/W4214523372","https://openalex.org/W4288057788","https://openalex.org/W4308391452","https://openalex.org/W4385819523","https://openalex.org/W4400413574"],"related_works":["https://openalex.org/W2150974517","https://openalex.org/W4390188610","https://openalex.org/W2611822924","https://openalex.org/W2486254595","https://openalex.org/W2728195892","https://openalex.org/W3204916073","https://openalex.org/W2031906996","https://openalex.org/W2055594799","https://openalex.org/W2403507963","https://openalex.org/W1936629927"],"abstract_inverted_index":{"Several":[0],"cryptographic":[1],"schemes,":[2,63],"including":[3],"lattice-based":[4,123],"cryptography":[5],"and":[6,17,47,96,158],"the":[7,33,108,112,176,183,193],"SHA-2":[8],"family":[9],"of":[10,21,24,134,178],"hash":[11],"functions,":[12],"involve":[13],"both":[14],"integer":[15],"arithmetic":[16,46,66,83,109,135],"Boolean":[18,73,86,138],"logic.":[19],"Each":[20],"these":[22],"classes":[23],"operations,":[25],"considered":[26],"separately,":[27],"can":[28,77,166],"be":[29,78,168],"efficiently":[30],"implemented":[31],"under":[32],"masking":[34,57,62],"countermeasure":[35],"when":[36,107],"resistance":[37],"against":[38],"vertical":[39],"attacks":[40],"is":[41,50,89,114,120,152,189],"required.":[42],"However,":[43],"protecting":[44],"interleaved":[45],"logic":[48],"operations":[49,70],"much":[51],"more":[52],"expensive,":[53],"requiring":[54],"either":[55],"additional":[56],"conversions":[58],"to":[59],"switch":[60],"between":[61],"or":[64],"implementing":[65],"functions":[67],"as":[68],"nonlinear":[69],"over":[71,85,115,137],"a":[72,116,130,141],"masking.":[74],"Both":[75],"solutions":[76],"achieved":[79],"by":[80,111],"providing":[81],"masked":[82,132],"addition":[84,136,157],"shares,":[87],"which":[88,119],"an":[90,161],"operation":[91],"with":[92],"relatively":[93],"long":[94],"latency":[95],"usually":[97],"high":[98],"area":[99],"utilization":[100],"in":[101,122,192],"hardware.":[102],"A":[103],"further":[104],"complication":[105],"arises":[106],"performed":[110],"scheme":[113],"prime":[117],"modulus,":[118],"common":[121],"cryptography.":[124],"In":[125],"this":[126],"work,":[127],"we":[128,181],"propose":[129,182],"first-order":[131],"implementation":[133],"shares":[139],"occupying":[140],"very":[142],"small":[143],"area,":[144],"while":[145],"still":[146],"having":[147],"reasonable":[148],"latency.":[149],"Our":[150],"proposal":[151],"specifically":[153],"tuned":[154],"for":[155,172],"efficient":[156],"subtraction":[159],"modulo":[160],"arbitrary":[162],"integer,":[163],"but":[164],"it":[165],"also":[167],"configured":[169],"at":[170],"runtime":[171],"power-of-two":[173],"arithmetic.":[174],"To":[175],"best":[177],"our":[179],"knowledge,":[180],"first":[184],"such":[185],"construction":[186],"whose":[187],"security":[188],"formally":[190],"proven":[191],"glitch+transition-robust":[194],"probing":[195],"model.":[196]},"counts_by_year":[],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}