{"id":"https://openalex.org/W4400516132","doi":"https://doi.org/10.1007/s00145-024-09511-8","title":"Lattice-Based Polynomial Commitments: Towards Asymptotic and Concrete Efficiency","display_name":"Lattice-Based Polynomial Commitments: Towards Asymptotic and Concrete Efficiency","publication_year":2024,"publication_date":"2024-07-01","ids":{"openalex":"https://openalex.org/W4400516132","doi":"https://doi.org/10.1007/s00145-024-09511-8"},"language":"en","primary_location":{"id":"doi:10.1007/s00145-024-09511-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00145-024-09511-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00145-024-09511-8.pdf","source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"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 Cryptology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00145-024-09511-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5095913380","display_name":"Giacomo Fenzi","orcid":"https://orcid.org/0000-0003-3702-1780"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Giacomo Fenzi","raw_affiliation_strings":["EPFL, Vaud, Switzerland"],"raw_orcid":"https://orcid.org/0000-0003-3702-1780","affiliations":[{"raw_affiliation_string":"EPFL, Vaud, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100506269","display_name":"Hossein Moghaddas","orcid":"https://orcid.org/0009-0000-3377-0632"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Hossein Moghaddas","raw_affiliation_strings":["EPFL, Vaud, Switzerland"],"raw_orcid":"https://orcid.org/0009-0000-3377-0632","affiliations":[{"raw_affiliation_string":"EPFL, Vaud, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065667852","display_name":"Ngoc Khanh Nguyen","orcid":"https://orcid.org/0000-0001-8240-6167"},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Ngoc Khanh Nguyen","raw_affiliation_strings":["King\u2019s College London, London, UK","King's College London, London, UK"],"raw_orcid":"https://orcid.org/0000-0001-8240-6167","affiliations":[{"raw_affiliation_string":"King\u2019s College London, London, UK","institution_ids":["https://openalex.org/I183935753"]},{"raw_affiliation_string":"King's College London, London, UK","institution_ids":["https://openalex.org/I183935753"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5065667852"],"corresponding_institution_ids":["https://openalex.org/I183935753"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":2.9802,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.92094877,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"37","issue":"3","first_page":null,"last_page":null},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9807999730110168,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10270","display_name":"Blockchain Technology Applications and Security","score":0.9641000032424927,"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/computer-science","display_name":"Computer science","score":0.5987503528594971},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5251041054725647},{"id":"https://openalex.org/keywords/random-oracle","display_name":"Random oracle","score":0.4731296896934509},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.469434529542923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32281988859176636},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.09755223989486694},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.07974335551261902}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5987503528594971},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5251041054725647},{"id":"https://openalex.org/C94284585","wikidata":"https://www.wikidata.org/wiki/Q228184","display_name":"Random oracle","level":4,"score":0.4731296896934509},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.469434529542923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32281988859176636},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.09755223989486694},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.07974335551261902},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00145-024-09511-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00145-024-09511-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00145-024-09511-8.pdf","source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"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 Cryptology","raw_type":"journal-article"},{"id":"pmh:oai:kclpure.kcl.ac.uk:publications/58406b09-ece6-4d38-b990-431a7fc50129","is_oa":true,"landing_page_url":"https://kclpure.kcl.ac.uk/portal/en/publications/58406b09-ece6-4d38-b990-431a7fc50129","pdf_url":"https://kclpure.kcl.ac.uk/ws/files/361626016/Lattice-Based_Polynomial_Commitments_Version_of_Record.pdf","source":{"id":"https://openalex.org/S4306400216","display_name":"Research Portal (King's College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I183935753","host_organization_name":"King's College London","host_organization_lineage":["https://openalex.org/I183935753"],"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":"Fenzi, G, Moghaddas, H & Nguyen, N K 2024, 'Lattice-Based Polynomial Commitments : Towards Asymptotic and Concrete Efficiency', JOURNAL OF CRYPTOLOGY, vol. 37, no. 3, 31. https://doi.org/10.1007/s00145-024-09511-8","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1007/s00145-024-09511-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00145-024-09511-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00145-024-09511-8.pdf","source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"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 Cryptology","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals","score":0.5199999809265137}],"awards":[],"funders":[{"id":"https://openalex.org/F4320329018","display_name":"Ethereum Foundation","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400516132.pdf","grobid_xml":"https://content.openalex.org/works/W4400516132.grobid-xml"},"referenced_works_count":71,"referenced_works":["https://openalex.org/W31130112","https://openalex.org/W62933689","https://openalex.org/W74973629","https://openalex.org/W80562455","https://openalex.org/W121367636","https://openalex.org/W1506156414","https://openalex.org/W1589034595","https://openalex.org/W1598269861","https://openalex.org/W1752323684","https://openalex.org/W1890128745","https://openalex.org/W1893972099","https://openalex.org/W1909324101","https://openalex.org/W1985439922","https://openalex.org/W1994790157","https://openalex.org/W2038761522","https://openalex.org/W2126483728","https://openalex.org/W2141040012","https://openalex.org/W2142048307","https://openalex.org/W2152688060","https://openalex.org/W2473389213","https://openalex.org/W2536319456","https://openalex.org/W2791664942","https://openalex.org/W2795220856","https://openalex.org/W2866028610","https://openalex.org/W2883563728","https://openalex.org/W2883748642","https://openalex.org/W2886714247","https://openalex.org/W2950609069","https://openalex.org/W2952033682","https://openalex.org/W2952604022","https://openalex.org/W2954625838","https://openalex.org/W2968027060","https://openalex.org/W2982474429","https://openalex.org/W2986657889","https://openalex.org/W2990120385","https://openalex.org/W3012492834","https://openalex.org/W3013339691","https://openalex.org/W3031397331","https://openalex.org/W3031679272","https://openalex.org/W3037467273","https://openalex.org/W3159039187","https://openalex.org/W3159513901","https://openalex.org/W3172178640","https://openalex.org/W3187842930","https://openalex.org/W3192998623","https://openalex.org/W3201715140","https://openalex.org/W3211614912","https://openalex.org/W3213340422","https://openalex.org/W4214811950","https://openalex.org/W4240339612","https://openalex.org/W4285136272","https://openalex.org/W4285234987","https://openalex.org/W4308641887","https://openalex.org/W4312232931","https://openalex.org/W4312463145","https://openalex.org/W4312715239","https://openalex.org/W4312816268","https://openalex.org/W4312987944","https://openalex.org/W4313193269","https://openalex.org/W4313227231","https://openalex.org/W4317928294","https://openalex.org/W4365806595","https://openalex.org/W4376639523","https://openalex.org/W4385654101","https://openalex.org/W4385654123","https://openalex.org/W4385654215","https://openalex.org/W4385654747","https://openalex.org/W4385654788","https://openalex.org/W4385659358","https://openalex.org/W4389857064","https://openalex.org/W6848130908"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Abstract":[0],"Polynomial":[1],"commitments":[2,57,133],"schemes":[3],"are":[4],"a":[5,15,30,35,63,83,113,163,183],"powerful":[6],"tool":[7],"that":[8,24,87],"enables":[9],"one":[10],"party":[11],"to":[12,14,29,67,181],"commit":[13],"polynomial":[16,56,69,85,132,173],"p":[17],"of":[18,99,103,117,131,162],"degree":[19,97],"d":[20,98],",":[21,39,46],"and":[22,92,124,140,143],"prove":[23],"the":[25,53,96,100,108,118,177,216],"committed":[26],"function":[27],"evaluates":[28],"certain":[31],"value":[32],"z":[33],"at":[34],"specified":[36],"point":[37],"u":[38],"i.e.":[40],"$$p(u)":[41],"=":[42],"z$$":[43],"<mml:math":[44,197,204,210],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mi>p</mml:mi><mml:mo>(</mml:mo><mml:mi>u</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math>":[45],"without":[47],"revealing":[48],"any":[49,149],"additional":[50],"information":[51],"about":[52],"polynomial.":[54,101],"Recently,":[55],"have":[58],"been":[59],"extensively":[60],"used":[61],"as":[62,159],"cryptographic":[64],"building":[65],"block":[66],"transform":[68],"interactive":[70],"oracle":[71,110],"proofs":[72],"(PIOPs)":[73],"into":[74],"efficient":[75],"succinct":[76,89,167,186],"arguments.":[77,168],"In":[78],"this":[79],"paper,":[80],"we":[81,145,194],"propose":[82],"lattice-based":[84,219],"commitment":[86],"achieves":[88],"proof":[90,200],"size":[91,201],"verification":[93],"time":[94],"in":[95,107],"Extractability":[102],"our":[104,155,172],"scheme":[105,156],"holds":[106],"random":[109],"model":[111],"under":[112],"natural":[114],"ring":[115],"version":[116],"BASIS":[119],"assumption":[120],"introduced":[121],"by":[122,134,141,222],"Wee":[123,142],"Wu":[125],"(EUROCRYPT":[126,179],"2023).":[127],"Unlike":[128],"recent":[129],"constructions":[130],"Albrecht":[135,223],"et":[136,224],"al.":[137,225],"(CRYPTO":[138],"2022),":[139],"Wu,":[144],"do":[146],"not":[147],"require":[148],"expensive":[150],"preprocessing":[151],"steps,":[152],"which":[153,207],"makes":[154],"particularly":[157],"attractive":[158],"an":[160],"ingredient":[161],"PIOP":[164,178],"compiler":[165],"for":[166,188,202],"We":[169],"further":[170],"instantiate":[171],"commitment,":[174],"together":[175],"with":[176],"2020),":[180],"obtain":[182],"publicly-verifiable":[184,218],"trusted-setup":[185],"argument":[187],"Rank-1":[189],"Constraint":[190],"System":[191],"(R1CS).":[192],"Performance-wise,":[193],"achieve":[195],"$$17$$":[196],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mn>17</mml:mn></mml:mrow></mml:math>":[198],"MB":[199],"$$2^{20}$$":[203],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msup><mml:mn>2</mml:mn><mml:mn>20</mml:mn></mml:msup></mml:math>":[205],"constraints,":[206],"is":[208],"$$15$$":[209],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow><mml:mn>15</mml:mn></mml:mrow></mml:math>":[211],"X":[212],"smaller":[213],"than":[214],"currently":[215],"only":[217],"SNARK":[220],"proposed":[221]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-07T13:37:22.277990","created_date":"2025-10-10T00:00:00"}