{"id":"https://openalex.org/W3197807078","doi":"https://doi.org/10.1007/s10623-022-01134-z","title":"Efficient multivariate low-degree tests via interactive oracle proofs of proximity for polynomial codes","display_name":"Efficient multivariate low-degree tests via interactive oracle proofs of proximity for polynomial codes","publication_year":2022,"publication_date":"2022-11-13","ids":{"openalex":"https://openalex.org/W3197807078","doi":"https://doi.org/10.1007/s10623-022-01134-z","mag":"3197807078"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-022-01134-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-022-01134-z","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-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/A5035914152","display_name":"Daniel Augot","orcid":"https://orcid.org/0000-0002-4284-3319"},"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/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Daniel Augot","raw_affiliation_strings":["Inria and LIX, CNRS UMR 7161, \u00c9cole polytechnique, Institut polytechnique de Paris, Palaiseau, France","Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau]"],"raw_orcid":"https://orcid.org/0000-0002-4284-3319","affiliations":[{"raw_affiliation_string":"Inria and LIX, CNRS UMR 7161, \u00c9cole polytechnique, Institut polytechnique de Paris, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau]","institution_ids":["https://openalex.org/I4210139461"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091200495","display_name":"Sarah Bordage","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/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sarah Bordage","raw_affiliation_strings":["Inria and LIX, CNRS UMR 7161, \u00c9cole polytechnique, Institut polytechnique de Paris, Palaiseau, France","INRIA Saclay - \u00cele-de, France#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria and LIX, CNRS UMR 7161, \u00c9cole polytechnique, Institut polytechnique de Paris, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461","https://openalex.org/I142476485","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"INRIA Saclay - \u00cele-de, France#TAB#","institution_ids":["https://openalex.org/I4210126360","https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081157195","display_name":"Jade Nardi","orcid":"https://orcid.org/0000-0003-0901-7266"},"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/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jade Nardi","raw_affiliation_strings":["Univ Rennes, CNRS, IRMAR UMR 6625, Vannes, France","Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ Rennes, CNRS, IRMAR UMR 6625, Vannes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I1294671590","https://openalex.org/I4210161663"]},{"raw_affiliation_string":"Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau]","institution_ids":["https://openalex.org/I4210139461"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035914152"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I4210139461"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01770716,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"91","issue":"3","first_page":"1111","last_page":"1151"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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/T10237","display_name":"Cryptography and Data Security","score":0.9990000128746033,"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":0.9919000267982483,"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/mathematical-proof","display_name":"Mathematical proof","score":0.7815542221069336},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.7698429822921753},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.7488670349121094},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.6694017648696899},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5587347149848938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5143481492996216},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4354114830493927},{"id":"https://openalex.org/keywords/random-oracle","display_name":"Random oracle","score":0.41611364483833313},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3339519500732422},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3307341933250427},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20446550846099854},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.19909259676933289},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.091043621301651},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.07670137286186218},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07533285021781921}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7815542221069336},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.7698429822921753},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.7488670349121094},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.6694017648696899},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5587347149848938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5143481492996216},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4354114830493927},{"id":"https://openalex.org/C94284585","wikidata":"https://www.wikidata.org/wiki/Q228184","display_name":"Random oracle","level":4,"score":0.41611364483833313},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3339519500732422},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3307341933250427},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20446550846099854},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.19909259676933289},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.091043621301651},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.07670137286186218},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07533285021781921},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"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/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10623-022-01134-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-022-01134-z","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03454113v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-03454113","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"Designs, Codes and Cryptography, 2022, &#x27E8;10.1007/s10623-022-01134-z&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1585475679","https://openalex.org/W1599026900","https://openalex.org/W1978478346","https://openalex.org/W2003159902","https://openalex.org/W2007309095","https://openalex.org/W2018925011","https://openalex.org/W2028444458","https://openalex.org/W2029859729","https://openalex.org/W2041068798","https://openalex.org/W2053086236","https://openalex.org/W2061707159","https://openalex.org/W2077901621","https://openalex.org/W2080132708","https://openalex.org/W2086653003","https://openalex.org/W2087900794","https://openalex.org/W2111187182","https://openalex.org/W2125293366","https://openalex.org/W2135952940","https://openalex.org/W2146261818","https://openalex.org/W2146453677","https://openalex.org/W2416431186","https://openalex.org/W2536319456","https://openalex.org/W2610313478","https://openalex.org/W2765206040","https://openalex.org/W2898776076","https://openalex.org/W2968027060","https://openalex.org/W3116303059","https://openalex.org/W3126633261","https://openalex.org/W3127540631","https://openalex.org/W4229760579"],"related_works":["https://openalex.org/W1566256504","https://openalex.org/W2612112148","https://openalex.org/W3113927039","https://openalex.org/W2293021588","https://openalex.org/W2576620499","https://openalex.org/W590460207","https://openalex.org/W2076965705","https://openalex.org/W2392953011","https://openalex.org/W2759719156","https://openalex.org/W3032235428"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2021-09-13T00:00:00"}
