{"id":"https://openalex.org/W3147459559","doi":"https://doi.org/10.1007/978-3-030-84259-8_5","title":"Time- and Space-Efficient Arguments from Groups of Unknown Order","display_name":"Time- and Space-Efficient Arguments from Groups of Unknown Order","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3147459559","doi":"https://doi.org/10.1007/978-3-030-84259-8_5","mag":"3147459559"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-84259-8_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-84259-8_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5041537984","display_name":"Alexander R. Block","orcid":"https://orcid.org/0000-0002-2632-763X"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexander R. Block","raw_affiliation_strings":["Purdue University, West Lafayette, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Purdue University, West Lafayette, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022856374","display_name":"Justin Holmgren","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Justin Holmgren","raw_affiliation_strings":["NTT Research, Sunnyvale, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NTT Research, Sunnyvale, CA, USA","institution_ids":[]}]},{"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"]},{"id":"https://openalex.org/I4210093787","display_name":"Herzliya Medical Center","ror":"https://ror.org/00m6hsp80","country_code":"IL","type":"healthcare","lineage":["https://openalex.org/I4210093787"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Alon Rosen","raw_affiliation_strings":["IDC Herzliya, Herzliya, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IDC Herzliya, Herzliya, Israel","institution_ids":["https://openalex.org/I4210093787","https://openalex.org/I138898306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049757682","display_name":"Ron D. Rothblum","orcid":"https://orcid.org/0000-0001-5481-7276"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ron D. Rothblum","raw_affiliation_strings":["Technion, Haifa, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technion, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031319542","display_name":"Pratik Soni","orcid":"https://orcid.org/0000-0002-3225-3323"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pratik Soni","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5041537984"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":16.5194,"has_fulltext":false,"cited_by_count":64,"citation_normalized_percentile":{"value":0.99486995,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"123","last_page":"152"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9993000030517578,"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":0.9993000030517578,"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":0.991100013256073,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9498999714851379,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.7328030467033386},{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.6992325782775879},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6017809510231018},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5283637046813965},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.49718979001045227},{"id":"https://openalex.org/keywords/factoring","display_name":"Factoring","score":0.4793039858341217},{"id":"https://openalex.org/keywords/zero-knowledge-proof","display_name":"Zero-knowledge proof","score":0.47096994519233704},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45759257674217224},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.44453558325767517},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43298402428627014},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.43156757950782776},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4292915165424347},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41208624839782715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35325583815574646},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3419262170791626},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2843027114868164},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.23539647459983826},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11054503917694092},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06635692715644836}],"concepts":[{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.7328030467033386},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.6992325782775879},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6017809510231018},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5283637046813965},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.49718979001045227},{"id":"https://openalex.org/C177225278","wikidata":"https://www.wikidata.org/wiki/Q192674","display_name":"Factoring","level":2,"score":0.4793039858341217},{"id":"https://openalex.org/C176329583","wikidata":"https://www.wikidata.org/wiki/Q191943","display_name":"Zero-knowledge proof","level":3,"score":0.47096994519233704},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45759257674217224},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.44453558325767517},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43298402428627014},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.43156757950782776},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4292915165424347},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41208624839782715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35325583815574646},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3419262170791626},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2843027114868164},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.23539647459983826},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11054503917694092},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06635692715644836},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-84259-8_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-84259-8_5","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.41999998688697815,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W53264231","https://openalex.org/W174039250","https://openalex.org/W1539572409","https://openalex.org/W1561877077","https://openalex.org/W1589034595","https://openalex.org/W1632088469","https://openalex.org/W1836725053","https://openalex.org/W1909324101","https://openalex.org/W2006252547","https://openalex.org/W2018925011","https://openalex.org/W2089592270","https://openalex.org/W2114101763","https://openalex.org/W2144238522","https://openalex.org/W2148957455","https://openalex.org/W2416431186","https://openalex.org/W2473389213","https://openalex.org/W2604764484","https://openalex.org/W2883585522","https://openalex.org/W2883748642","https://openalex.org/W2884026699","https://openalex.org/W2885172320","https://openalex.org/W2885314357","https://openalex.org/W2888609041","https://openalex.org/W2888974282","https://openalex.org/W2899466157","https://openalex.org/W2913435035","https://openalex.org/W2950148516","https://openalex.org/W2954625838","https://openalex.org/W2963154631","https://openalex.org/W2977627479","https://openalex.org/W2982474429","https://openalex.org/W2990120385","https://openalex.org/W3004340635","https://openalex.org/W3015343560","https://openalex.org/W3023800193","https://openalex.org/W3023964980","https://openalex.org/W3091014139","https://openalex.org/W3093431293","https://openalex.org/W3095548228","https://openalex.org/W3113554767","https://openalex.org/W3116737310","https://openalex.org/W3126633261","https://openalex.org/W3147459559","https://openalex.org/W4252948584","https://openalex.org/W4253496694","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2151433956","https://openalex.org/W2564184999","https://openalex.org/W2915124127","https://openalex.org/W2149634854","https://openalex.org/W4400642643","https://openalex.org/W4402530505","https://openalex.org/W2562305209","https://openalex.org/W3030245161","https://openalex.org/W2519290549","https://openalex.org/W4386302629"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":5}],"updated_date":"2026-05-24T08:33:08.758527","created_date":"2025-10-10T00:00:00"}