{"id":"https://openalex.org/W2979325266","doi":"https://doi.org/10.1515/jmc-2019-0048","title":"On the equivalence of authentication codes and robust (2, 2)-threshold schemes","display_name":"On the equivalence of authentication codes and robust (2, 2)-threshold schemes","publication_year":2020,"publication_date":"2020-11-25","ids":{"openalex":"https://openalex.org/W2979325266","doi":"https://doi.org/10.1515/jmc-2019-0048","mag":"2979325266"},"language":"en","primary_location":{"id":"doi:10.1515/jmc-2019-0048","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2019-0048","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2019-0048/pdf","source":{"id":"https://openalex.org/S100611479","display_name":"Journal of Mathematical Cryptology","issn_l":"1862-2976","issn":["1862-2976","1862-2984"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Cryptology","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2019-0048/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013118322","display_name":"Maura B. Paterson","orcid":"https://orcid.org/0000-0002-3515-8436"},"institutions":[{"id":"https://openalex.org/I98259816","display_name":"Birkbeck, University of London","ror":"https://ror.org/02mb95055","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I98259816"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Maura B. Paterson","raw_affiliation_strings":["Department of Economics, Mathematics and Statistics Birkbeck, University of London , Malet Street , London , UK"],"affiliations":[{"raw_affiliation_string":"Department of Economics, Mathematics and Statistics Birkbeck, University of London , Malet Street , London , UK","institution_ids":["https://openalex.org/I98259816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021938024","display_name":"Douglas R. Stinson","orcid":"https://orcid.org/0000-0001-5635-8122"},"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":"Douglas R. Stinson","raw_affiliation_strings":["David R. Cheriton School of Computer Science, University of Waterloo , Waterloo , Ontario, N2L 3G1 , Canada","David R. Cheriton School of Computer Science, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada"],"affiliations":[{"raw_affiliation_string":"David R. Cheriton School of Computer Science, University of Waterloo , Waterloo , Ontario, N2L 3G1 , Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"David R. Cheriton School of Computer Science, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013118322"],"corresponding_institution_ids":["https://openalex.org/I98259816"],"apc_list":{"value":1000,"currency":"EUR","value_usd":1078},"apc_paid":{"value":1000,"currency":"EUR","value_usd":1078},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00737569,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"1","first_page":"179","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9994000196456909,"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/T11130","display_name":"Coding theory and cryptography","score":0.9994000196456909,"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":0.9983999729156494,"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"}},{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9731000065803528,"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/equivalence","display_name":"Equivalence (formal languages)","score":0.7357679009437561},{"id":"https://openalex.org/keywords/authentication","display_name":"Authentication (law)","score":0.6179555654525757},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5698168873786926},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.5562663674354553},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5367829203605652},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40215203166007996},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36817342042922974},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.3283643126487732},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.19227677583694458}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.7357679009437561},{"id":"https://openalex.org/C148417208","wikidata":"https://www.wikidata.org/wiki/Q4825882","display_name":"Authentication (law)","level":2,"score":0.6179555654525757},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5698168873786926},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.5562663674354553},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5367829203605652},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40215203166007996},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36817342042922974},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.3283643126487732},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.19227677583694458}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1515/jmc-2019-0048","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2019-0048","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2019-0048/pdf","source":{"id":"https://openalex.org/S100611479","display_name":"Journal of Mathematical Cryptology","issn_l":"1862-2976","issn":["1862-2976","1862-2984"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Cryptology","raw_type":"journal-article"},{"id":"pmh:oai:eprints.bbk.ac.uk.oai2:32251","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400466","display_name":"BIROn (Birkbeck, University of London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I98259816","host_organization_name":"Birkbeck, University of London","host_organization_lineage":["https://openalex.org/I98259816"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"NonPeerReviewed"},{"id":"pmh:oai:arXiv.org:1910.05572","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.05572","pdf_url":"https://arxiv.org/pdf/1910.05572","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2979325266","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1910.05572v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1910.05572","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1910.05572","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},{"id":"mag:3111602206","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/iacr/iacr2019.html#PatersonS19","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":null,"is_accepted":false,"is_published":null,"raw_source_name":"IACR Cryptology ePrint Archive","raw_type":null}],"best_oa_location":{"id":"doi:10.1515/jmc-2019-0048","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2019-0048","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2019-0048/pdf","source":{"id":"https://openalex.org/S100611479","display_name":"Journal of Mathematical Cryptology","issn_l":"1862-2976","issn":["1862-2976","1862-2984"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Cryptology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1597412403","display_name":null,"funder_award_id":"RGPIN-","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G6221715925","display_name":null,"funder_award_id":"RGPIN","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G7393972419","display_name":null,"funder_award_id":"RGPIN-03882","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320320184","display_name":"London Mathematical Society","ror":"https://ror.org/01r1e1h27"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2979325266.pdf","grobid_xml":"https://content.openalex.org/works/W2979325266.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1490273987","https://openalex.org/W1598977140","https://openalex.org/W1743965195","https://openalex.org/W1992558221","https://openalex.org/W2015915269","https://openalex.org/W2018562795","https://openalex.org/W2026527489","https://openalex.org/W2041864238","https://openalex.org/W2053761689","https://openalex.org/W2061684655","https://openalex.org/W2064770039","https://openalex.org/W2075649093","https://openalex.org/W2302842661","https://openalex.org/W2306698508","https://openalex.org/W2406514759","https://openalex.org/W2521202275","https://openalex.org/W2765190733","https://openalex.org/W2883654460","https://openalex.org/W2946015374","https://openalex.org/W2964276143","https://openalex.org/W4205545339","https://openalex.org/W4249632715"],"related_works":["https://openalex.org/W3111602206","https://openalex.org/W2953067959","https://openalex.org/W2338782888","https://openalex.org/W3030469437","https://openalex.org/W2950586519","https://openalex.org/W3006619306","https://openalex.org/W2769514460","https://openalex.org/W3028628668","https://openalex.org/W2343630731","https://openalex.org/W1590949317","https://openalex.org/W1752323684","https://openalex.org/W3207974943","https://openalex.org/W3008263355","https://openalex.org/W2129725231","https://openalex.org/W2181469001","https://openalex.org/W2951858714","https://openalex.org/W2138570096","https://openalex.org/W2091028025","https://openalex.org/W1492314155","https://openalex.org/W3164314991"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,59,75],"paper,":[3],"we":[4],"show":[5,73],"a":[6,53,78],"\u201cdirect\u201d":[7],"equivalence":[8],"between":[9],"certain":[10,54],"authentication":[11,22,69],"codes":[12,23],"and":[13,24,61,84],"robust":[14,25],"threshold":[15,26],"schemes.":[16],"It":[17],"was":[18],"previously":[19],"known":[20,88],"that":[21],"schemes":[27],"are":[28],"closely":[29],"related":[30],"to":[31,81],"similar":[32],"types":[33],"of":[34,52,67,86],"designs,":[35],"but":[36],"direct":[37],"equivalences":[38,48],"had":[39],"not":[40],"been":[41],"considered":[42],"in":[43,64],"the":[44,50,65],"literature.":[45],"Our":[46],"new":[47],"motivate":[49],"consideration":[51],"\u201ckey-substitution":[55],"attack.\u201d":[56],"We":[57,71],"study":[58],"attack":[60],"analyze":[62],"it":[63],"setting":[66],"\u201cdual":[68],"codes.\u201d":[70],"also":[72],"how":[74],"viewpoint":[76],"provides":[77],"nice":[79],"way":[80],"prove":[82],"properties":[83],"generalizations":[85],"some":[87],"constructions.":[89]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2022-07-28T00:00:00"}