{"id":"https://openalex.org/W3013466724","doi":"https://doi.org/10.1109/tit.2022.3160507","title":"Secure Groupcast With Shared Keys","display_name":"Secure Groupcast With Shared Keys","publication_year":2022,"publication_date":"2022-03-17","ids":{"openalex":"https://openalex.org/W3013466724","doi":"https://doi.org/10.1109/tit.2022.3160507","mag":"3013466724"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3160507","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3160507","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","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/A5016951190","display_name":"Hua Sun","orcid":"https://orcid.org/0000-0001-8777-7987"},"institutions":[{"id":"https://openalex.org/I123534392","display_name":"University of North Texas","ror":"https://ror.org/00v97ad02","country_code":"US","type":"education","lineage":["https://openalex.org/I123534392"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hua Sun","raw_affiliation_strings":["Department of Electrical Engineering, University of North Texas, Denton, TX, USA"],"raw_orcid":"https://orcid.org/0000-0001-8777-7987","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of North Texas, Denton, TX, USA","institution_ids":["https://openalex.org/I123534392"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016951190"],"corresponding_institution_ids":["https://openalex.org/I123534392"],"apc_list":null,"apc_paid":null,"fwci":0.5228,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.57052905,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"68","issue":"7","first_page":"4681","last_page":"4699"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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":0.9962999820709229,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/notation","display_name":"Notation","score":0.7669368982315063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4658411741256714},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35111376643180847},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34383922815322876},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3299325108528137},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.17478713393211365}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7669368982315063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4658411741256714},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35111376643180847},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34383922815322876},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3299325108528137},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.17478713393211365}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3160507","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3160507","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1784528590","display_name":"CAREER: Fundamental Limits of Cryptographic Primitives Through Network Information Theory","funder_award_id":"2045656","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4487682990","display_name":"Collaborative Research: CIF: Small: Communication, Storage, Complexity, and Security: A Holistic View on the Fundamental Limits and Code Designs for Private Information Retrieval","funder_award_id":"2007108","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1544592562","https://openalex.org/W1586341635","https://openalex.org/W1608982780","https://openalex.org/W1994497608","https://openalex.org/W1996292068","https://openalex.org/W2043769961","https://openalex.org/W2082993575","https://openalex.org/W2099213070","https://openalex.org/W2106360282","https://openalex.org/W2106833918","https://openalex.org/W2108777864","https://openalex.org/W2109394932","https://openalex.org/W2130334496","https://openalex.org/W2130507035","https://openalex.org/W2144007657","https://openalex.org/W2154300278","https://openalex.org/W2154832352","https://openalex.org/W2156143920","https://openalex.org/W2158273335","https://openalex.org/W2167651408","https://openalex.org/W2172233962","https://openalex.org/W2242421097","https://openalex.org/W2523917704","https://openalex.org/W2599749253","https://openalex.org/W2699584971","https://openalex.org/W2746896597","https://openalex.org/W2886677553","https://openalex.org/W2937203129","https://openalex.org/W2979871288","https://openalex.org/W3005569643","https://openalex.org/W3081319578","https://openalex.org/W3197010125","https://openalex.org/W3217264205","https://openalex.org/W4231511378","https://openalex.org/W4238634196","https://openalex.org/W4300840296","https://openalex.org/W6636412825"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2504004674","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819"],"abstract_inverted_index":{"We":[0,38,86],"consider":[1],"a":[2,9,16,25],"transmitter":[3,21],"and$K$receivers,":[4],"each":[5],"of":[6,29,50,73,75,91,97,103,145,160],"which":[7],"shares":[8],"key":[10,62,102,109,155],"variable":[11],"with":[12,134],"the":[13,20,32,42,47,58,65,70,76,83,89,111,118,150,154,161,170,174,179],"transmitter.":[14],"Through":[15],"noiseless":[17],"broadcast":[18,67,77,176],"channel,":[19],"wishes":[22],"to":[23,57,80,126,142],"send":[24],"common":[26],"message$W$securely":[27],"to$N$out":[28],"the$K$receivers":[30,98],"while":[31],"remaining$K-N$receivers":[33],"learn":[34],"no":[35],"information":[36,78],"about$W$.":[37],"are":[39],"interested":[40],"in":[41],"maximum":[43,48,112,180],"message":[44,84,113,181],"rate,":[45],"i.e.,":[46,69,123,139],"number":[49,72],"bits":[51,74],"of$W$that":[52],"can":[53],"be":[54],"securely":[55,81],"groupcast":[56,82,132,141],"legitimate":[59],"receivers":[60],"per":[61],"block":[63],"and":[64,148],"minimum":[66,71,175],"bandwidth,":[68],"required":[79],"bits.":[85],"focus":[87],"on":[88],"setting":[90,152],"combinatorial":[92,108],"keys,":[93],"where":[94,153],"every":[95],"subset":[96,159],"share":[99],"an":[100],"independent":[101],"arbitrary":[104],"size.":[105],"Under":[106],"this":[107],"setting,":[110],"rate":[114,182],"is":[115,164,183],"characterized":[116],"for":[117,157,166,169,178],"following":[119],"scenarios":[120],"-":[121],"1)$N=1$or$N=K-1$,":[122],"secure":[124,131,140],"unicast":[125],"1":[127,135],"receiver":[128],"with$K-1$eavesdroppers":[129],"or":[130],"to$K-1$receivers":[133],"eavesdropper,":[136],"2)$N=2,":[137],"K=4$,":[138],"2":[143],"out":[144],"4":[146],"receivers,":[147],"3)":[149],"symmetric":[151],"size":[156],"any":[158],"same":[162],"cardinality":[163],"equal":[165],"any$N,K$.":[167],"Further,":[168],"latter":[171],"two":[172],"cases,":[173],"bandwidth":[177],"characterized.":[184]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}