{"id":"https://openalex.org/W1482427796","doi":"https://doi.org/10.1007/bfb0000421","title":"Multiplicative non-abelian sharing schemes and their application to threshold cryptography","display_name":"Multiplicative non-abelian sharing schemes and their application to threshold cryptography","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1482427796","doi":"https://doi.org/10.1007/bfb0000421","mag":"1482427796"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0000421","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0000421","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/A5008979622","display_name":"Yvo Desmedt","orcid":"https://orcid.org/0000-0002-6679-7484"},"institutions":[{"id":"https://openalex.org/I43579087","display_name":"University of Wisconsin\u2013Milwaukee","ror":"https://ror.org/031q21x57","country_code":"US","type":"education","lineage":["https://openalex.org/I43579087"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yvo Desmedt","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Wisconsin-Milwaukee, USA","Univ. of Wisconsin Milwaukee"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Wisconsin-Milwaukee, USA","institution_ids":["https://openalex.org/I43579087"]},{"raw_affiliation_string":"Univ. of Wisconsin Milwaukee","institution_ids":["https://openalex.org/I43579087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011460496","display_name":"Giovanni Di Crescenzo","orcid":"https://orcid.org/0000-0002-5138-1144"},"institutions":[{"id":"https://openalex.org/I131729948","display_name":"University of Salerno","ror":"https://ror.org/0192m2k53","country_code":"IT","type":"education","lineage":["https://openalex.org/I131729948"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovanni Di Crescenzo","raw_affiliation_strings":["Dipartimento di Informatica ed Applicazioni, Universit\u00e0 di Salerno, Baronissi (SA), Italy","Universit\u00e1 di Salerno"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica ed Applicazioni, Universit\u00e0 di Salerno, Baronissi (SA), Italy","institution_ids":["https://openalex.org/I131729948"]},{"raw_affiliation_string":"Universit\u00e1 di Salerno","institution_ids":["https://openalex.org/I131729948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053202585","display_name":"Mike Burmester","orcid":"https://orcid.org/0000-0001-5094-5668"},"institutions":[{"id":"https://openalex.org/I124357947","display_name":"University of London","ror":"https://ror.org/04cw6st05","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mike Burmester","raw_affiliation_strings":["Department of Mathematics, RH-University of London, Egham, UK","RH - University of London"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, RH-University of London, Egham, UK","institution_ids":["https://openalex.org/I124357947"]},{"raw_affiliation_string":"RH - University of London","institution_ids":["https://openalex.org/I124357947"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008979622"],"corresponding_institution_ids":["https://openalex.org/I43579087"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.7204,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.92316785,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"19","last_page":"32"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9986000061035156,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9976999759674072,"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/computer-science","display_name":"Computer science","score":0.7407663464546204},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.6859872341156006},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6562038064002991},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6400125026702881},{"id":"https://openalex.org/keywords/zero-knowledge-proof","display_name":"Zero-knowledge proof","score":0.5979419946670532},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.5860798954963684},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5523914098739624},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.5223818421363831},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.49490541219711304},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4816347658634186},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46598973870277405},{"id":"https://openalex.org/keywords/multiplicative-group","display_name":"Multiplicative group","score":0.45625242590904236},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41196495294570923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2426655888557434},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21607843041419983},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13757681846618652},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1073751449584961},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.08954712748527527}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7407663464546204},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.6859872341156006},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6562038064002991},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6400125026702881},{"id":"https://openalex.org/C176329583","wikidata":"https://www.wikidata.org/wiki/Q191943","display_name":"Zero-knowledge proof","level":3,"score":0.5979419946670532},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.5860798954963684},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5523914098739624},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.5223818421363831},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.49490541219711304},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4816347658634186},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46598973870277405},{"id":"https://openalex.org/C92788228","wikidata":"https://www.wikidata.org/wiki/Q3777923","display_name":"Multiplicative group","level":3,"score":0.45625242590904236},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41196495294570923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2426655888557434},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21607843041419983},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13757681846618652},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1073751449584961},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.08954712748527527},{"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},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"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/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bfb0000421","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0000421","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"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:139085","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/139085/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"     In: Pieprzyk, J and SafaviNaini, R, (eds.) ADVANCES IN CRYPTOLOGY - ASIACRYPT '94.  (pp. 21 - 32).  SPRINGER-VERLAG BERLIN (1995)     ","raw_type":"Proceedings paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W269920844","https://openalex.org/W572562893","https://openalex.org/W604518226","https://openalex.org/W1484557542","https://openalex.org/W1605019859","https://openalex.org/W1617851311","https://openalex.org/W1883290937","https://openalex.org/W1970606468","https://openalex.org/W1972339028","https://openalex.org/W1979215153","https://openalex.org/W1996360405","https://openalex.org/W2009432965","https://openalex.org/W2011112377","https://openalex.org/W2029948740","https://openalex.org/W2047925852","https://openalex.org/W2099000090","https://openalex.org/W2129462878","https://openalex.org/W2137883105","https://openalex.org/W2141420453","https://openalex.org/W2329095262","https://openalex.org/W2561675875","https://openalex.org/W2912577494","https://openalex.org/W2970097841","https://openalex.org/W4232836212"],"related_works":["https://openalex.org/W2149634854","https://openalex.org/W3030245161","https://openalex.org/W2562305209","https://openalex.org/W2096571200","https://openalex.org/W2809883875","https://openalex.org/W3030523870","https://openalex.org/W4389777186","https://openalex.org/W3210659843","https://openalex.org/W2397501045","https://openalex.org/W2291472021"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
