{"id":"https://openalex.org/W3202895739","doi":"https://doi.org/10.1007/s00453-023-01150-y","title":"Algebraic Restriction Codes and Their Applications","display_name":"Algebraic Restriction Codes and Their Applications","publication_year":2023,"publication_date":"2023-07-24","ids":{"openalex":"https://openalex.org/W3202895739","doi":"https://doi.org/10.1007/s00453-023-01150-y","mag":"3202895739"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-023-01150-y","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00453-023-01150-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-023-01150-y.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-023-01150-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069623985","display_name":"Divesh Aggarwal","orcid":"https://orcid.org/0000-0002-3841-0262"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Divesh Aggarwal","raw_affiliation_strings":["National University of Singapore, Queenstown, Singapore"],"affiliations":[{"raw_affiliation_string":"National University of Singapore, Queenstown, Singapore","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051096181","display_name":"Nico D\u00f6ttling","orcid":"https://orcid.org/0000-0002-5914-7635"},"institutions":[{"id":"https://openalex.org/I4210128801","display_name":"Helmholtz Center for Information Security","ror":"https://ror.org/02njgxr09","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I4210128801"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nico D\u00f6ttling","raw_affiliation_strings":["Helmholtz Center for Information Security (CISPA), Saarbr\u00fccken, Saarland, Germany"],"affiliations":[{"raw_affiliation_string":"Helmholtz Center for Information Security (CISPA), Saarbr\u00fccken, Saarland, Germany","institution_ids":["https://openalex.org/I4210128801"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051812240","display_name":"Jesko Dujmovic","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128801","display_name":"Helmholtz Center for Information Security","ror":"https://ror.org/02njgxr09","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I4210128801"]},{"id":"https://openalex.org/I4210153150","display_name":"Klinikum Saarbr\u00fccken","ror":"https://ror.org/04wg18j80","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210153150"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jesko Dujmovic","raw_affiliation_strings":["Helmholtz Center for Information Security (CISPA), Saarbr\u00fccken, Saarland, Germany","Saarbr\u00fccken Graduate School of Computer Science, Saarbr\u00fccken, Saarland, Germany"],"affiliations":[{"raw_affiliation_string":"Helmholtz Center for Information Security (CISPA), Saarbr\u00fccken, Saarland, Germany","institution_ids":["https://openalex.org/I4210128801"]},{"raw_affiliation_string":"Saarbr\u00fccken Graduate School of Computer Science, Saarbr\u00fccken, Saarland, Germany","institution_ids":["https://openalex.org/I4210153150"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109525515","display_name":"Mohammad Hajiabadi","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mohammad Hajiabadi","raw_affiliation_strings":["University of Waterloo, Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007500399","display_name":"Giulio Malavolta","orcid":"https://orcid.org/0009-0009-9737-0094"},"institutions":[{"id":"https://openalex.org/I71209653","display_name":"Bocconi University","ror":"https://ror.org/05crjpb27","country_code":"IT","type":"education","lineage":["https://openalex.org/I71209653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giulio Malavolta","raw_affiliation_strings":["Bocconi University, Milan, Lombardy, Italy"],"affiliations":[{"raw_affiliation_string":"Bocconi University, Milan, Lombardy, Italy","institution_ids":["https://openalex.org/I71209653"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075282848","display_name":"Maciej Obremski","orcid":"https://orcid.org/0000-0003-4174-0438"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Maciej Obremski","raw_affiliation_strings":["National University of Singapore, Queenstown, Singapore"],"affiliations":[{"raw_affiliation_string":"National University of Singapore, Queenstown, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5069623985"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00169591,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"85","issue":"12","first_page":"3602","last_page":"3648"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9973000288009644,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/oblivious-transfer","display_name":"Oblivious transfer","score":0.696375846862793},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5928256511688232},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5439758896827698},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5356760621070862},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.5179435610771179},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5021367073059082},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.49333444237709045},{"id":"https://openalex.org/keywords/communication-source","display_name":"Communication source","score":0.4628853499889374},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44807106256484985},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.42450380325317383},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42104658484458923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4204866588115692},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4117847681045532},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.39024096727371216},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25551432371139526},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.15318289399147034}],"concepts":[{"id":"https://openalex.org/C53076038","wikidata":"https://www.wikidata.org/wiki/Q2915383","display_name":"Oblivious transfer","level":3,"score":0.696375846862793},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5928256511688232},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5439758896827698},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5356760621070862},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.5179435610771179},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5021367073059082},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.49333444237709045},{"id":"https://openalex.org/C198104137","wikidata":"https://www.wikidata.org/wiki/Q974688","display_name":"Communication source","level":2,"score":0.4628853499889374},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44807106256484985},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.42450380325317383},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42104658484458923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4204866588115692},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4117847681045532},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.39024096727371216},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25551432371139526},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.15318289399147034},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00453-023-01150-y","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00453-023-01150-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-023-01150-y.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:figshare.com:article/24614160","is_oa":true,"landing_page_url":"https://figshare.com/articles/conference_contribution/Algebraic_Restriction_Codes_and_their_Applications/24614160","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"","raw_type":"Text"},{"id":"doi:10.60882/cispa.24614160.v1","is_oa":true,"landing_page_url":"https://doi.org/10.60882/cispa.24614160.v1","pdf_url":null,"source":{"id":"https://openalex.org/S7407050916","display_name":"CISPA Helmholtz Center","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s00453-023-01150-y","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00453-023-01150-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-023-01150-y.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3202895739.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W56544557","https://openalex.org/W78558797","https://openalex.org/W342125610","https://openalex.org/W1515669336","https://openalex.org/W1518622464","https://openalex.org/W1534388293","https://openalex.org/W1599335667","https://openalex.org/W1979280691","https://openalex.org/W1981712957","https://openalex.org/W1992282993","https://openalex.org/W2016443801","https://openalex.org/W2031533839","https://openalex.org/W2038517014","https://openalex.org/W2088492763","https://openalex.org/W2123702065","https://openalex.org/W2132172731","https://openalex.org/W2140805804","https://openalex.org/W2154654620","https://openalex.org/W2156186849","https://openalex.org/W2157890723","https://openalex.org/W2164908759","https://openalex.org/W2608772385","https://openalex.org/W2769708155","https://openalex.org/W2898733944","https://openalex.org/W2920656144","https://openalex.org/W2950017470","https://openalex.org/W2954950674","https://openalex.org/W2963056512","https://openalex.org/W2989630101","https://openalex.org/W2989911901","https://openalex.org/W3013529605","https://openalex.org/W3095197392","https://openalex.org/W3128071445","https://openalex.org/W3150645827","https://openalex.org/W4206744556","https://openalex.org/W4233121052"],"related_works":["https://openalex.org/W4290666399","https://openalex.org/W2383547808","https://openalex.org/W2949203817","https://openalex.org/W4362456836","https://openalex.org/W3029821189","https://openalex.org/W2014378761","https://openalex.org/W3114935130","https://openalex.org/W1514616143","https://openalex.org/W2385140399","https://openalex.org/W1595648337"],"abstract_inverted_index":{"Abstract":[0],"Consider":[1],"the":[2,28,45,59,67,75,86,143,170,182,187,203,224,229],"following":[3],"problem:":[4],"You":[5],"have":[6],"a":[7,14,49,78,104,123,136],"device":[8,29],"that":[9,51,116,165,190],"is":[10,110,139],"supposed":[11],"to":[12,43,102,129,142,169,218],"compute":[13,34,99],"linear":[15,53,79,105,130],"combination":[16],"of":[17,37,66,88,120,126,156,173,194,215,226],"its":[18,38,150],"inputs,":[19],"which":[20,94,138],"are":[21],"taken":[22],"from":[23,181,202],"some":[24],"finite":[25],"field.":[26],"However,":[27],"may":[30],"be":[31,56],"faulty":[32],"and":[33,147,186],"arbitrary":[35,64],"functions":[36,54],"inputs.":[39],"Is":[40],"it":[41],"possible":[42],"encode":[44],"inputs":[46,76],"in":[47,159,223,228],"such":[48,197],"way":[50],"only":[52,201],"can":[55],"evaluated":[57],"over":[58],"encodings?":[60],"I.e.,":[61],"learning":[62],"an":[63,111,154],"function":[65,101,121],"encodings":[68],"will":[69],"not":[70,140],"reveal":[71],"more":[72],"information":[73],"about":[74],"than":[77],"combination.":[80],"In":[81,161],"this":[82,157],"work,":[83],"we":[84,152,163],"introduce":[85],"notion":[87,158,214],"algebraic":[89],"restriction":[90],"codes":[91,115,167,217],"(AR":[92],"codes),":[93],"constrain":[95],"adversaries":[96],"who":[97],"might":[98],"any":[100,118],"computing":[103],"function.":[106],"Our":[107,132],"main":[108],"result":[109],"information-theoretic":[112],"construction":[113,133,172,189],"AR":[114,166,216],"restrict":[117],"class":[119],"with":[122,177],"bounded":[124],"number":[125],"output":[127],"bits":[128],"functions.":[131],"relies":[134],"on":[135,149],"seed":[137],"provided":[141],"adversary.":[144],"While":[145],"interesting":[146],"natural":[148],"own,":[151],"show":[153,164],"application":[155],"cryptography.":[160,195],"particular,":[162],"lead":[168],"first":[171],"rate-1":[174],"oblivious":[175],"transfer":[176],"statistical":[178],"sender":[179],"security":[180],"Decisional":[183],"Diffie\u2013Hellman":[184],"assumption,":[185,205],"first-ever":[188],"makes":[191],"black-box":[192],"use":[193],"Previously,":[196],"protocols":[198],"were":[199],"known":[200],"LWE":[204],"using":[206],"non-black-box":[207],"cryptographic":[208],"techniques.":[209],"We":[210],"expect":[211],"our":[212],"new":[213],"find":[219],"further":[220],"applications,":[221],"e.g.,":[222],"context":[225],"non-malleability,":[227],"future.":[230]},"counts_by_year":[],"updated_date":"2026-03-25T14:56:36.534964","created_date":"2025-10-10T00:00:00"}
