{"id":"https://openalex.org/W4307823890","doi":"https://doi.org/10.1145/3560827.3563378","title":"Efficient Homomorphic Evaluation of Arbitrary Bivariate Integer Functions","display_name":"Efficient Homomorphic Evaluation of Arbitrary Bivariate Integer Functions","publication_year":2022,"publication_date":"2022-11-01","ids":{"openalex":"https://openalex.org/W4307823890","doi":"https://doi.org/10.1145/3560827.3563378"},"language":"en","primary_location":{"id":"doi:10.1145/3560827.3563378","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3560827.3563378","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 10th Workshop on Encrypted Computing & Applied Homomorphic Cryptography","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/A5043141175","display_name":"Daisuke Maeda","orcid":"https://orcid.org/0000-0003-4911-401X"},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Daisuke Maeda","raw_affiliation_strings":["University of Tsukuba, Tsukuba, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Tsukuba, Tsukuba, Japan","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062030239","display_name":"Koki Morimura","orcid":null},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koki Morimura","raw_affiliation_strings":["University of Tsukuba, Tsukuba, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Tsukuba, Tsukuba, Japan","institution_ids":["https://openalex.org/I146399215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032460212","display_name":"Takashi Nishide","orcid":"https://orcid.org/0000-0001-6518-8989"},"institutions":[{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takashi Nishide","raw_affiliation_strings":["University of Tsukuba, Tsukuba, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Tsukuba, Tsukuba, Japan","institution_ids":["https://openalex.org/I146399215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043141175"],"corresponding_institution_ids":["https://openalex.org/I146399215"],"apc_list":null,"apc_paid":null,"fwci":1.3853,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84440225,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"13","last_page":"22"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data 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/T10237","display_name":"Cryptography and Data 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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9994000196456909,"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":0.9993000030517578,"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/ciphertext","display_name":"Ciphertext","score":0.814371645450592},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5650244951248169},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5417377352714539},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5143111944198608},{"id":"https://openalex.org/keywords/plaintext","display_name":"Plaintext","score":0.5019986629486084},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48002496361732483},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4767509400844574},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.46134430170059204},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.4296289384365082},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3663112223148346},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.32071036100387573}],"concepts":[{"id":"https://openalex.org/C93974786","wikidata":"https://www.wikidata.org/wiki/Q1589480","display_name":"Ciphertext","level":3,"score":0.814371645450592},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5650244951248169},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5417377352714539},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5143111944198608},{"id":"https://openalex.org/C92717368","wikidata":"https://www.wikidata.org/wiki/Q1162538","display_name":"Plaintext","level":3,"score":0.5019986629486084},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48002496361732483},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4767509400844574},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.46134430170059204},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.4296289384365082},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3663112223148346},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.32071036100387573},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3560827.3563378","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3560827.3563378","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 10th Workshop on Encrypted Computing & Applied Homomorphic Cryptography","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W2031533839","https://openalex.org/W2055580199","https://openalex.org/W2152926062","https://openalex.org/W2226167778","https://openalex.org/W2358010479","https://openalex.org/W2805215324","https://openalex.org/W2942037506","https://openalex.org/W2942255051","https://openalex.org/W2963939032","https://openalex.org/W2999783367","https://openalex.org/W3013520805","https://openalex.org/W3120341667","https://openalex.org/W3157813311","https://openalex.org/W3202996395"],"related_works":["https://openalex.org/W2997530193","https://openalex.org/W2942137924","https://openalex.org/W4236344152","https://openalex.org/W4310649982","https://openalex.org/W2011667854","https://openalex.org/W1589129854","https://openalex.org/W2802117553","https://openalex.org/W2939324531","https://openalex.org/W4294104609","https://openalex.org/W3042758862"],"abstract_inverted_index":{"We":[0,165],"propose":[1,104],"how":[2,150],"to":[3,113,130,151,157],"homomorphically":[4],"evaluate":[5],"arbitrary":[6],"bivariate":[7],"integer":[8],"functions":[9],"such":[10,25],"as":[11],"division.":[12],"A":[13],"prior":[14,100,168,203,211],"work":[15,101,131,169,204,212],"proposed":[16],"by":[17],"Okada":[18,55,171,178],"et":[19,56,172,179],"al.\\":[20,57],"(WISTP'18)":[21],"uses":[22],"polynomial":[23],"evaluations":[24],"that":[26,108,197],"the":[27,33,44,52,59,69,81,84,99,110,115,123,133,153,167,188,198,202,210],"scheme":[28,53,176,184,208,225],"is":[29,41],"still":[30,214],"compatible":[31],"with":[32,43,132,160,187],"SIMD":[34,124],"operations":[35,76],"in":[36,68,141,185,229],"BFV":[37],"and":[38,40,65,73,102,181,195,205,218],"BGV,":[39],"implemented":[42],"input":[45,70,117,135,154,189],"domain":[46,71,118,136,155,190],"size":[47,119,156,191],"\\mathbbZ":[48,139,158,192],"_257":[49],".":[50],"However,":[51],"of":[54,62,121,170,177,201,209],"requires":[58],"quadratic":[60,85],"number":[61],"plaintext-ciphertext":[63],"multiplications":[64],"ciphertext-ciphertext":[66,82],"additions":[67],"size,":[72,137],"although":[74],"these":[75],"are":[77,213],"more":[78],"lightweight":[79],"than":[80],"multiplication,":[83],"complexity":[86],"makes":[87],"handling":[88],"larger":[89,116,134],"inputs":[90],"quite":[91],"inefficient.":[92],"In":[93,146],"this":[94],"work,":[95],"first":[96],"we":[97,148],"improve":[98],"also":[103],"a":[105,142,161],"new":[106,183,224],"approach":[107],"exploits":[109],"packing":[111],"method":[112],"handle":[114],"instead":[120],"enabling":[122],"operation,":[125],"thus":[126],"making":[127],"it":[128],"possible":[129],"e.g.,":[138],"_2^15":[140,193],"reasonably":[143],"efficient":[144],"way.":[145],"addition,":[147],"show":[149],"extend":[152],"_2^16":[159],"relatively":[162],"moderate":[163],"overhead.":[164],"implement":[166],"al.,":[173,180],"our":[174,182,206,223],"improved":[175,207],"PALISADE":[186],",":[194],"confirm":[196],"estimated":[199],"run-times":[200],"about":[215],"117":[216],"days":[217,220],"59":[219],"respectively":[221],"while":[222],"can":[226],"be":[227],"computed":[228],"307":[230],"seconds.":[231]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}