{"id":"https://openalex.org/W3029074974","doi":"https://doi.org/10.1137/16m1073595","title":"An Algebraic Approach to Nonmalleability","display_name":"An Algebraic Approach to Nonmalleability","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3029074974","doi":"https://doi.org/10.1137/16m1073595","mag":"3029074974"},"language":"en","primary_location":{"id":"doi:10.1137/16m1073595","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1073595","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"preprint","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/A5102383383","display_name":"Vipul Goyal","orcid":"https://orcid.org/0000-0003-2774-6892"},"institutions":[{"id":"https://openalex.org/I4210164937","display_name":"Microsoft Research (United Kingdom)","ror":"https://ror.org/05k87vq12","country_code":"GB","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210164937"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Vipul Goyal","raw_affiliation_strings":["(Microsoft)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"(Microsoft)","institution_ids":["https://openalex.org/I4210164937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034122024","display_name":"Silas Richelson","orcid":"https://orcid.org/0009-0005-1482-0338"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Silas Richelson","raw_affiliation_strings":["University of California-Los Angeles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California-Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051186002","display_name":"Alon Rosen","orcid":"https://orcid.org/0000-0002-3021-7150"},"institutions":[{"id":"https://openalex.org/I138898306","display_name":"Reichman University","ror":"https://ror.org/01px5cv07","country_code":"IL","type":"education","lineage":["https://openalex.org/I138898306"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Alon Rosen","raw_affiliation_strings":["INTERDISCIPLINARY CENTER HERZLIYA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INTERDISCIPLINARY CENTER HERZLIYA","institution_ids":["https://openalex.org/I138898306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080866144","display_name":"Margarita Vald","orcid":"https://orcid.org/0000-0003-1149-7182"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Margarita Vald","raw_affiliation_strings":["Tel Aviv University *"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel Aviv University *","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00580486,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"50","issue":"5","first_page":"1537","last_page":"1579"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":1.0,"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":1.0,"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":0.9962000250816345,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/malleability","display_name":"Malleability","score":0.831122875213623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7324264645576477},{"id":"https://openalex.org/keywords/soundness","display_name":"Soundness","score":0.7302423715591431},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.6860905885696411},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.593278169631958},{"id":"https://openalex.org/keywords/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.5842236876487732},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.5573931336402893},{"id":"https://openalex.org/keywords/zero-knowledge-proof","display_name":"Zero-knowledge proof","score":0.5573698282241821},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5461947321891785},{"id":"https://openalex.org/keywords/commitment-scheme","display_name":"Commitment scheme","score":0.5363159775733948},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.5145646929740906},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45489639043807983},{"id":"https://openalex.org/keywords/cryptographic-primitive","display_name":"Cryptographic primitive","score":0.44980138540267944},{"id":"https://openalex.org/keywords/cryptographic-protocol","display_name":"Cryptographic protocol","score":0.437434583902359},{"id":"https://openalex.org/keywords/adversary","display_name":"Adversary","score":0.43678322434425354},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4139457941055298},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.4130845069885254},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4120781719684601},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.3970631957054138},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28573715686798096},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2641449570655823},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2537674307823181},{"id":"https://openalex.org/keywords/ciphertext","display_name":"Ciphertext","score":0.24169191718101501},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.16887500882148743},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08314573764801025}],"concepts":[{"id":"https://openalex.org/C100980136","wikidata":"https://www.wikidata.org/wiki/Q4668956","display_name":"Malleability","level":4,"score":0.831122875213623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7324264645576477},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.7302423715591431},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6860905885696411},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.593278169631958},{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.5842236876487732},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.5573931336402893},{"id":"https://openalex.org/C176329583","wikidata":"https://www.wikidata.org/wiki/Q191943","display_name":"Zero-knowledge proof","level":3,"score":0.5573698282241821},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5461947321891785},{"id":"https://openalex.org/C91399829","wikidata":"https://www.wikidata.org/wiki/Q1115684","display_name":"Commitment scheme","level":3,"score":0.5363159775733948},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.5145646929740906},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45489639043807983},{"id":"https://openalex.org/C15927051","wikidata":"https://www.wikidata.org/wiki/Q246593","display_name":"Cryptographic primitive","level":4,"score":0.44980138540267944},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.437434583902359},{"id":"https://openalex.org/C41065033","wikidata":"https://www.wikidata.org/wiki/Q2825412","display_name":"Adversary","level":2,"score":0.43678322434425354},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4139457941055298},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.4130845069885254},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4120781719684601},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.3970631957054138},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28573715686798096},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2641449570655823},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2537674307823181},{"id":"https://openalex.org/C93974786","wikidata":"https://www.wikidata.org/wiki/Q1589480","display_name":"Ciphertext","level":3,"score":0.24169191718101501},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.16887500882148743},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08314573764801025},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/16m1073595","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1073595","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"mag:3029074974","is_oa":false,"landing_page_url":"https://eprint.iacr.org/2014/586.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764847869","display_name":"IACR Cryptology ePrint Archive","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":["https://openalex.org/P4322614454"],"host_organization_lineage_names":["Cryptology ePrint Archive"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IACR Cryptology ePrint Archive","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.455.9726","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.455.9726","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprint.iacr.org/2014/586.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3402039804","display_name":null,"funder_award_id":"307952","funder_id":"https://openalex.org/F4320333065","funder_display_name":"Seventh Framework Programme"},{"id":"https://openalex.org/G5244754482","display_name":null,"funder_award_id":"1255/12","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"},{"id":"https://openalex.org/F4320333065","display_name":"Seventh Framework Programme","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W126491009","https://openalex.org/W145176944","https://openalex.org/W1524382113","https://openalex.org/W1576524648","https://openalex.org/W1864936342","https://openalex.org/W1980227445","https://openalex.org/W2004433870","https://openalex.org/W2004895849","https://openalex.org/W2012045293","https://openalex.org/W2015880590","https://openalex.org/W2051078457","https://openalex.org/W2052605513","https://openalex.org/W2064265141","https://openalex.org/W2071683449","https://openalex.org/W2077140897","https://openalex.org/W2098121410","https://openalex.org/W2113085788","https://openalex.org/W2141420453","https://openalex.org/W2142968417","https://openalex.org/W2153783737"],"related_works":["https://openalex.org/W2093785875","https://openalex.org/W2416422559","https://openalex.org/W2768526869","https://openalex.org/W2052605513","https://openalex.org/W2768423348","https://openalex.org/W2767534707","https://openalex.org/W2051078457","https://openalex.org/W2561536427","https://openalex.org/W2071683449","https://openalex.org/W2893803999","https://openalex.org/W2368095681","https://openalex.org/W2295237590","https://openalex.org/W2951288538","https://openalex.org/W2288493018","https://openalex.org/W2951992303","https://openalex.org/W2060985761","https://openalex.org/W3195000810","https://openalex.org/W2883019295","https://openalex.org/W1576798452","https://openalex.org/W3214268690"],"abstract_inverted_index":{"In":[0,77],"their":[1],"seminal":[2],"work":[3],"on":[4,53,153,174],"non-malleable":[5,16,70,91,124,130],"cryptography,":[6],"Dolev,":[7],"Dwork":[8],"and":[9,98,126,159,168,177],"Naor,":[10],"showed":[11],"how":[12],"to":[13,74,88,99],"construct":[14,89],"a":[15,82,90,95,121,127],"commitment":[17,125],"with":[18,93],"logarithmically-many":[19],""rounds"/"slots",":[20],"the":[21,66,109,133,136,140,146,154],"idea":[22],"being":[23],"that":[24,85],"any":[25,54],"adversary":[26],"may":[27],"successfully":[28],"maul":[29],"in":[30,36,49,58,101,184],"some":[31],"slots":[32],"but":[33],"would":[34],"fail":[35],"at":[37,102],"least":[38,103],"one.":[39],"Since":[40],"then":[41],"new":[42,83,118],"ideas":[43,119],"have":[44],"been":[45],"introduced,":[46],"ultimately":[47],"resulting":[48],"constant-round":[50],"protocols":[51,150],"based":[52,152],"one-way":[55,157],"function.":[56],"Yet,":[57],"spite":[59],"of":[60,65,69,108,116,139,156,180],"this":[61,78],"remarkable":[62],"progress,":[63],"each":[64,107],"known":[67,142],"constructions":[68],"commitments":[71,167],"leaves":[72],"something":[73],"be":[75],"desired.":[76],"paper":[79],"we":[80],"propose":[81],"technique":[84],"allows":[86],"us":[87],"protocol":[92],"only":[94],"single":[96],"slot",":[97],"improve":[100],"one":[104],"aspect":[105],"over":[106],"previously":[110],"proposed":[111],"protocols.":[112,170],"Two":[113],"direct":[114],"byproducts":[115],"our":[117],"are":[120,151],"four":[122,128],"round":[123,129,137],"zero-knowledge":[131,143],"argument,":[132],"latter":[134],"matching":[135],"complexity":[138],"best":[141],"argument":[144],"(without":[145],"non-malleability":[147],"requirement).":[148],"The":[149],"existence":[155],"functions":[158],"admit":[160],"very":[161],"efficient":[162],"instantiations":[163],"via":[164],"standard":[165],"homomorphic":[166],"sigma":[169],"Our":[171],"analysis":[172],"relies":[173],"algebraic":[175],"reasoning,":[176],"makes":[178],"use":[179],"error":[181],"correcting":[182],"codes":[183],"order":[185]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}