{"id":"https://openalex.org/W3021982020","doi":"https://doi.org/10.1515/jmc-2022-0017","title":"Access structures determined by uniform polymatroids","display_name":"Access structures determined by uniform polymatroids","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W3021982020","doi":"https://doi.org/10.1515/jmc-2022-0017","mag":"3021982020"},"language":"en","primary_location":{"id":"doi:10.1515/jmc-2022-0017","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2022-0017","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2022-0017/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":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2022-0017/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027347472","display_name":"Renata Kawa","orcid":"https://orcid.org/0000-0002-3224-7476"},"institutions":[{"id":"https://openalex.org/I126406834","display_name":"Jan D\u0142ugosz University","ror":"https://ror.org/0566yhn94","country_code":"PL","type":"education","lineage":["https://openalex.org/I126406834"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Renata Kawa","raw_affiliation_strings":["Faculty of Science and Technology, Jan D\u0142ugosz University , Cz\u0229stochowa , Poland"],"raw_orcid":"https://orcid.org/0000-0002-3224-7476","affiliations":[{"raw_affiliation_string":"Faculty of Science and Technology, Jan D\u0142ugosz University , Cz\u0229stochowa , Poland","institution_ids":["https://openalex.org/I126406834"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065494950","display_name":"Mieczys\u0142aw Kula","orcid":"https://orcid.org/0000-0001-5743-3809"},"institutions":[{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I864159182","display_name":"University of Silesia in Katowice","ror":"https://ror.org/0104rcc94","country_code":"PL","type":"education","lineage":["https://openalex.org/I864159182"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Mieczys\u0142aw Kula","raw_affiliation_strings":["Institute of Mathematics, University of Silesia , Katowice , Poland"],"raw_orcid":"https://orcid.org/0000-0001-5743-3809","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Silesia , Katowice , Poland","institution_ids":["https://openalex.org/I864159182","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027347472"],"corresponding_institution_ids":["https://openalex.org/I126406834"],"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":0.0009374,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"1","first_page":null,"last_page":null},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994000196456909,"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/T11598","display_name":"Internet Traffic Analysis and Secure E-voting","score":0.9907000064849854,"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/mathematics","display_name":"Mathematics","score":0.721043586730957},{"id":"https://openalex.org/keywords/multipartite","display_name":"Multipartite","score":0.7162272930145264},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6808626651763916},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6458293795585632},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5414550304412842},{"id":"https://openalex.org/keywords/access-structure","display_name":"Access structure","score":0.5343014597892761},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5158795118331909},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5016534328460693},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.4742428660392761},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.417896568775177},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.183070570230484},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.1488402783870697},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13166090846061707}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.721043586730957},{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.7162272930145264},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6808626651763916},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6458293795585632},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5414550304412842},{"id":"https://openalex.org/C2778950925","wikidata":"https://www.wikidata.org/wiki/Q4672474","display_name":"Access structure","level":4,"score":0.5343014597892761},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5158795118331909},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5016534328460693},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.4742428660392761},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.417896568775177},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.183070570230484},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.1488402783870697},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13166090846061707},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/jmc-2022-0017","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2022-0017","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2022-0017/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:doaj.org/article:6f41732d12d14a6192cb95c3a5b6ba50","is_oa":true,"landing_page_url":"https://doaj.org/article/6f41732d12d14a6192cb95c3a5b6ba50","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematical Cryptology, Vol 17, Iss 1, Pp p. 313-7 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1515/jmc-2022-0017","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2022-0017","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2022-0017/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":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3021982020.pdf","grobid_xml":"https://content.openalex.org/works/W3021982020.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W51265332","https://openalex.org/W1507039798","https://openalex.org/W1590395676","https://openalex.org/W1993254524","https://openalex.org/W2012083420","https://openalex.org/W2031906711","https://openalex.org/W2046021070","https://openalex.org/W2076645411","https://openalex.org/W2080161216","https://openalex.org/W2083952939","https://openalex.org/W2097407854","https://openalex.org/W2099000090","https://openalex.org/W2101330985","https://openalex.org/W2137350638","https://openalex.org/W2141420453","https://openalex.org/W2223862429","https://openalex.org/W2970097841"],"related_works":["https://openalex.org/W1574922502","https://openalex.org/W2147096936","https://openalex.org/W2207282964","https://openalex.org/W3209734538","https://openalex.org/W1989428224","https://openalex.org/W24921088","https://openalex.org/W2118981186","https://openalex.org/W2046910346","https://openalex.org/W3197760085","https://openalex.org/W2617061571"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,50,65],"article,":[3],"all":[4],"multipartite":[5],"access":[6,45,94,107,114,148,186,219,279],"structures":[7,115,220,280],"obtained":[8,112,218,281],"from":[9,180,212,282],"uniform":[10,39,118,283],"integer":[11,40,119,284],"polymatroids":[12,77,120,285],"were":[13],"investigated":[14],"using":[15],"the":[16,31,56,93,138,142,147,165,168,181,185,203,207,213,217,238,242,263],"method":[17,62],"developed":[18],"by":[19,92,117,199],"Farr\u00e0s,":[20],"Mart\u00ed-Farr\u00e9,":[21],"and":[22,69,96,105,121,172,229,246],"Padr\u00f3.":[23],"They":[24,223],"are":[25,84,103,221,224,233,273],"matroid":[26],"ports,":[27],"i.e.,":[28,269],"they":[29,102],"satisfy":[30],"necessary":[32],"condition":[33],"to":[34,226],"be":[35,53,71,133,227],"ideal.":[36],"Moreover,":[37,236],"each":[38],"polymatroid":[41,143,169,208,243],"defines":[42],"some":[43,270],"ideal":[44],"structures.":[46,108],"Some":[47],"objects":[48],"in":[49,64,78,87],"family":[51,125],"can":[52,70,132],"useful":[54],"for":[55,113],"applications":[57],"of":[58,76,89,141,167,206,241,278],"secret":[59],"sharing.":[60],"The":[61,109,275],"presented":[63],"article":[66],"is":[67,144,150,170,176,188,197,209,244,266,286],"universal":[68],"continued":[72],"with":[73],"other":[74],"classes":[75],"further":[79],"similar":[80],"studies.":[81],"Here,":[82],"we":[83,97],"especially":[85],"interested":[86],"hierarchy":[88,292],"participants":[90],"determined":[91,116],"structure,":[95],"distinguish":[98],"two":[99,297],"main":[100,110],"classes:":[101],"compartmented":[104],"hierarchical":[106,231,264,276],"results":[111],"a":[122,200],"monotone":[123],"increasing":[124],"<m:math":[126,153,191,247],"xmlns:m=\"http://www.w3.org/1998/Math/MathML\">":[127,154,192,248],"<m:mi":[128,155,193,250],"mathvariant=\"normal\">\u0394</m:mi>":[129,156,194,251],"</m:math>":[130,157,195,255],"\\Delta":[131,158,196,257],"summarized":[134],"as":[135],"follows.":[136],"If":[137,152,190],"increment":[139,174,204,239],"sequence":[140,175,205,240],"non-constant,":[145],"then":[146,184,216,262],"structure":[149,187],"connected.":[151],"does":[159],"not":[160,177,267],"contain":[161],"any":[162],"singletons":[163],"or":[164,202],"height":[166],"maximal":[171],"its":[173],"constant":[178,210,245],"starting":[179,211],"second":[182,214],"element,":[183,215],"compartmented.":[189],"generated":[198],"singleton":[201],"hierarchical.":[222],"proven":[225],"ideal,":[228],"their":[230],"orders":[232],"completely":[234],"determined.":[235],"if":[237],"<m:mo>\u2223</m:mo>":[249,252],"<m:mo>&gt;</m:mo>":[253],"<m:mn>1</m:mn>":[254],"|":[256,258],"\\gt":[259],"1":[260],",":[261],"order":[265,277],"antisymmetric,":[268],"different":[271],"blocks":[272],"equivalent.":[274],"always":[287],"flat,":[288],"that":[289],"is,":[290],"every":[291],"chain":[293],"has":[294],"at":[295],"most":[296],"elements.":[298]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
