{"id":"https://openalex.org/W4410702677","doi":"https://doi.org/10.1007/s10623-025-01651-7","title":"(k,\u00a0n)-Consecutive access structures","display_name":"(k,\u00a0n)-Consecutive access structures","publication_year":2025,"publication_date":"2025-05-24","ids":{"openalex":"https://openalex.org/W4410702677","doi":"https://doi.org/10.1007/s10623-025-01651-7"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-025-01651-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10623-025-01651-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10623-025-01651-7.pdf","source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10623-025-01651-7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040360709","display_name":"Javier Herranz","orcid":"https://orcid.org/0000-0001-5141-7234"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Javier Herranz","raw_affiliation_strings":["Dept. Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya-BarcelonaTech, c. Jordi Girona 1-3, 08034, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya-BarcelonaTech, c. Jordi Girona 1-3, 08034, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113491243","display_name":"Germ\u00e1n S\u00e1ez","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Germ\u00e1n S\u00e1ez","raw_affiliation_strings":["Dept. Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya-BarcelonaTech, c. Jordi Girona 1-3, 08034, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya-BarcelonaTech, c. Jordi Girona 1-3, 08034, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040360709"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04157244,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"93","issue":"9","first_page":"3543","last_page":"3563"},"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/T10927","display_name":"Access Control and Trust","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9837999939918518,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7833671569824219},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5332111120223999},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4913538992404938},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34057557582855225},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22205138206481934}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7833671569824219},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5332111120223999},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4913538992404938},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34057557582855225},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22205138206481934}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10623-025-01651-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10623-025-01651-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10623-025-01651-7.pdf","source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},{"id":"pmh:oai:upcommons.upc.edu:2117/431444","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/431444","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s10623-025-01651-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10623-025-01651-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10623-025-01651-7.pdf","source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320328447","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410702677.pdf","grobid_xml":"https://content.openalex.org/works/W4410702677.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1987772082","https://openalex.org/W1995726850","https://openalex.org/W1995732515","https://openalex.org/W2003753892","https://openalex.org/W2012083420","https://openalex.org/W2031906711","https://openalex.org/W2046021070","https://openalex.org/W2047488429","https://openalex.org/W2076645411","https://openalex.org/W2083952939","https://openalex.org/W2092892095","https://openalex.org/W2101330985","https://openalex.org/W2131278486","https://openalex.org/W2141420453","https://openalex.org/W2148623656","https://openalex.org/W2163458327","https://openalex.org/W2792527638","https://openalex.org/W2804115786","https://openalex.org/W2889508571","https://openalex.org/W2932503745","https://openalex.org/W2964081642","https://openalex.org/W2970097841","https://openalex.org/W3040061546","https://openalex.org/W3116930874","https://openalex.org/W3158616655","https://openalex.org/W4238045164","https://openalex.org/W4387623703"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"consider":[2,52],"access":[3,93,97,152,189],"structures":[4,98,190],"over":[5],"a":[6,13,36,57,72],"set":[7],"of":[8,165,176,188],"n":[9,68,85,91,136,150],"participants,":[10],"defined":[11],"by":[12],"parameter":[14],"k":[15,19,45,83,89,134,148],"with":[16],"$$1":[17],"\\le":[18,20],"n$$":[21],"<mml:math":[22],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[23],"<mml:mrow>":[24],"<mml:mn>1</mml:mn>":[25],"<mml:mo>\u2264</mml:mo>":[26,28],"<mml:mi>k</mml:mi>":[27],"<mml:mi>n</mml:mi>":[29],"</mml:mrow>":[30],"</mml:math>":[31],"in":[32,56,71,101,191],"the":[33,53,115,131,145,162,166,185,192],"following":[34],"way:":[35],"subset":[37],"is":[38,63],"authorized":[39],"if":[40],"it":[41,109],"contains":[42],"at":[43],"least":[44],"consecutive":[46],"participants.":[47],"Depending":[48],"on":[49,161],"whether":[50],"we":[51,74,80,127,154],"participants":[54],"placed":[55],"line":[58],"(that":[59],"is,":[60],"participant":[61,67],"1":[62],"not":[64],"next":[65],"to":[66,112],")":[69,137],"or":[70],"circle,":[73],"obtain":[75],"two":[76,193],"different":[77],"families,":[78,126],"that":[79,120,138,171],"call":[81],"(":[82,88,133,147],",":[84,90,135,149],")-line-consecutive":[86],"and":[87,158],")-circle-consecutive":[92],"structures,":[94,153],"respectively.":[95],"Such":[96],"can":[99,121,172],"appear":[100],"real-life":[102],"situations":[103],"involving":[104],"distributed":[105],"cryptography,":[106],"which":[107,129],"makes":[108],"more":[110],"interesting":[111],"look":[113],"for":[114],"best":[116,167],"secret":[117,141,168],"sharing":[118,142,169],"schemes":[119,170],"realize":[122,173],"them.":[123,174],"For":[124,144],"both":[125,156],"characterize":[128],"are":[130,179],"configurations":[132],"admit":[139],"ideal":[140],"schemes.":[143],"non-ideal":[146],")-consecutive":[151],"give":[155],"upper":[157],"lower":[159],"bounds":[160,178],"information":[163,186],"ratio":[164],"Some":[175],"these":[177],"obtained":[180],"after":[181],"proving":[182],"relations":[183],"between":[184],"ratios":[187],"considered":[194],"families.":[195]},"counts_by_year":[],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}
