{"id":"https://openalex.org/W4312956595","doi":"https://doi.org/10.1515/jmc-2021-0051","title":"The most efficient indifferentiable hashing to elliptic curves of j -invariant 1728","display_name":"The most efficient indifferentiable hashing to elliptic curves of j -invariant 1728","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4312956595","doi":"https://doi.org/10.1515/jmc-2021-0051"},"language":"en","primary_location":{"id":"doi:10.1515/jmc-2021-0051","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2021-0051","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2021-0051/pdf","source":{"id":"https://openalex.org/S100611479","display_name":"Journal of Mathematical Cryptology","issn_l":"1862-2976","issn":["1862-2976","1862-2984"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Cryptology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2021-0051/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012748509","display_name":"Dmitrii Koshelev","orcid":"https://orcid.org/0000-0002-4796-8989"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Dmitrii Koshelev","raw_affiliation_strings":["Computer Sciences and Networks Department, T\u00e9l\u00e9com Paris , Paris , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Sciences and Networks Department, T\u00e9l\u00e9com Paris , Paris , France","institution_ids":["https://openalex.org/I12356871"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012748509"],"corresponding_institution_ids":["https://openalex.org/I12356871"],"apc_list":{"value":0,"currency":"USD","value_usd":0},"apc_paid":{"value":0,"currency":"USD","value_usd":0},"fwci":0.3852,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69398862,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"16","issue":"1","first_page":"298","last_page":"309"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.998199999332428,"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":0.998199999332428,"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/T11130","display_name":"Coding theory and cryptography","score":0.9977999925613403,"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":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6616692543029785},{"id":"https://openalex.org/keywords/random-oracle","display_name":"Random oracle","score":0.5657591819763184},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5643284916877747},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.5540215969085693},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5350592732429504},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4267309904098511},{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.42376214265823364},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.395542711019516},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.16887900233268738},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15182310342788696},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.08473595976829529},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08305463194847107}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6616692543029785},{"id":"https://openalex.org/C94284585","wikidata":"https://www.wikidata.org/wiki/Q228184","display_name":"Random oracle","level":4,"score":0.5657591819763184},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5643284916877747},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.5540215969085693},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5350592732429504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4267309904098511},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.42376214265823364},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.395542711019516},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.16887900233268738},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15182310342788696},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.08473595976829529},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08305463194847107},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/jmc-2021-0051","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2021-0051","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2021-0051/pdf","source":{"id":"https://openalex.org/S100611479","display_name":"Journal of Mathematical Cryptology","issn_l":"1862-2976","issn":["1862-2976","1862-2984"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Cryptology","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9fac2a9b5f584aab925b7ace37e8ff08","is_oa":false,"landing_page_url":"https://doaj.org/article/9fac2a9b5f584aab925b7ace37e8ff08","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematical Cryptology, Vol 16, Iss 1, Pp 298-309 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1515/jmc-2021-0051","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2021-0051","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2021-0051/pdf","source":{"id":"https://openalex.org/S100611479","display_name":"Journal of Mathematical Cryptology","issn_l":"1862-2976","issn":["1862-2976","1862-2984"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Cryptology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4312956595.pdf","grobid_xml":"https://content.openalex.org/works/W4312956595.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W21535682","https://openalex.org/W1487143383","https://openalex.org/W1518147993","https://openalex.org/W1557415002","https://openalex.org/W1570850097","https://openalex.org/W1574372628","https://openalex.org/W1689385595","https://openalex.org/W2037123597","https://openalex.org/W2285532026","https://openalex.org/W2317188011","https://openalex.org/W2737042076","https://openalex.org/W2797042583","https://openalex.org/W2962817563","https://openalex.org/W2963456550","https://openalex.org/W3011698838","https://openalex.org/W3095275075","https://openalex.org/W3177040653","https://openalex.org/W3194975564","https://openalex.org/W4221113063","https://openalex.org/W4240744875","https://openalex.org/W4251589351","https://openalex.org/W4292027090","https://openalex.org/W4311844652","https://openalex.org/W4317928173"],"related_works":["https://openalex.org/W2000297171","https://openalex.org/W16894843","https://openalex.org/W1972982005","https://openalex.org/W2885499386","https://openalex.org/W1591954407","https://openalex.org/W2951515747","https://openalex.org/W4287980070","https://openalex.org/W1669405786","https://openalex.org/W3031215330","https://openalex.org/W2996872025"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"article":[2],"makes":[3],"an":[4,135],"important":[5],"contribution":[6],"to":[7,33,54,90,109,114,134,152],"solving":[8],"the":[9,37,70,85,104,148],"long-standing":[10],"problem":[11],"of":[12,65,72],"whether":[13],"all":[14,142],"elliptic":[15,57,136],"curves":[16],"can":[17],"be":[18,153],"equipped":[19],"with":[20,69,96],"a":[21,26,49,63,111,131],"hash":[22,52,132],"function":[23,53,133],"(indifferentiable":[24],"from":[25],"random":[27,107],"oracle)":[28],"whose":[29],"running":[30],"time":[31],"amounts":[32],"one":[34,74,91],"exponentiation":[35,92],"in":[36,77,93,100,118],"basic":[38],"finite":[39,94],"field":[40],"F":[41,58,78,119],"q":[42,59,79,120],"{{\\mathbb{F}}}_{q}":[43,60,80,121],".":[44,81,122],"More":[45],"precisely,":[46],"we":[47,98],"construct":[48],"new":[50,149],"indifferentiable":[51],"any":[55,139],"ordinary":[56],"-curve":[61],"E":[62,110],"{E}_{a}":[64,112],"j":[66],"-invariant":[67],"1728":[68],"cost":[71],"extracting":[73],"quartic":[75],"root":[76],"As":[82],"is":[83,88,125,130,146],"known,":[84],"latter":[86],"operation":[87],"equivalent":[89],"fields":[95],"which":[97],"deal":[99],"practice.":[101],"In":[102],"comparison,":[103],"previous":[105],"fastest":[106],"oracles":[108],"require":[113],"perform":[115],"two":[116],"exponentiations":[117,140],"Since":[123],"it":[124,145],"highly":[126],"unlikely":[127],"that":[128],"there":[129],"curve":[137],"without":[138],"at":[141],"(even":[143],"if":[144],"supersingular),":[147],"result":[150],"seems":[151],"unimprovable.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-08-28T12:50:07.497085","created_date":"2023-01-05T00:00:00"}