{"id":"https://openalex.org/W2911005727","doi":"https://doi.org/10.3390/sym11010069","title":"An Efficient Essential Secret Image Sharing Scheme Using Derivative Polynomial","display_name":"An Efficient Essential Secret Image Sharing Scheme Using Derivative Polynomial","publication_year":2019,"publication_date":"2019-01-08","ids":{"openalex":"https://openalex.org/W2911005727","doi":"https://doi.org/10.3390/sym11010069","mag":"2911005727"},"language":"en","primary_location":{"id":"doi:10.3390/sym11010069","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11010069","pdf_url":"https://www.mdpi.com/2073-8994/11/1/69/pdf?version=1547187612","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/11/1/69/pdf?version=1547187612","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055397380","display_name":"Zhen Wu","orcid":"https://orcid.org/0000-0002-7678-103X"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Wu","raw_affiliation_strings":["School of Information and Communication, Guilin University of Electronic Technology, Guilin 451000, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication, Guilin University of Electronic Technology, Guilin 451000, China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100690523","display_name":"Yining Liu","orcid":"https://orcid.org/0000-0002-6487-7595"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yi-Ning Liu","raw_affiliation_strings":["Guangxi Key Laboratory of Trusted Software, Guilin University of Electronic Technology, Guilin 451000, China","School of Information and Communication, Guilin University of Electronic Technology, Guilin 451000, China"],"affiliations":[{"raw_affiliation_string":"Guangxi Key Laboratory of Trusted Software, Guilin University of Electronic Technology, Guilin 451000, China","institution_ids":["https://openalex.org/I5343935"]},{"raw_affiliation_string":"School of Information and Communication, Guilin University of Electronic Technology, Guilin 451000, China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100391547","display_name":"Dong Wang","orcid":"https://orcid.org/0000-0003-3144-8767"},"institutions":[{"id":"https://openalex.org/I5343935","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42","country_code":"CN","type":"education","lineage":["https://openalex.org/I5343935"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dong Wang","raw_affiliation_strings":["School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 451000, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 451000, China","institution_ids":["https://openalex.org/I5343935"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034420945","display_name":"Ching\u2010Nung Yang","orcid":"https://orcid.org/0000-0002-3881-7329"},"institutions":[{"id":"https://openalex.org/I33096239","display_name":"National Dong Hwa University","ror":"https://ror.org/00mng9617","country_code":"TW","type":"education","lineage":["https://openalex.org/I33096239"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ching-Nung Yang","raw_affiliation_strings":["Department of CISE, National Dong Hwa University, Hualien City 97047, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of CISE, National Dong Hwa University, Hualien City 97047, Taiwan","institution_ids":["https://openalex.org/I33096239"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100391547","https://openalex.org/A5100690523"],"corresponding_institution_ids":["https://openalex.org/I5343935"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.0217,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.80295077,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"11","issue":"1","first_page":"69","last_page":"69"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10388","display_name":"Advanced Steganography and Watermarking Techniques","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10388","display_name":"Advanced Steganography and Watermarking Techniques","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9987000226974487,"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":0.9876000285148621,"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/image-sharing","display_name":"Image sharing","score":0.8764296770095825},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.7465764284133911},{"id":"https://openalex.org/keywords/concatenation","display_name":"Concatenation (mathematics)","score":0.739967942237854},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7175255417823792},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.6481056213378906},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.6218286752700806},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5333499908447266},{"id":"https://openalex.org/keywords/shamirs-secret-sharing","display_name":"Shamir's Secret Sharing","score":0.5244543552398682},{"id":"https://openalex.org/keywords/homomorphic-secret-sharing","display_name":"Homomorphic secret sharing","score":0.5237105488777161},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4967494606971741},{"id":"https://openalex.org/keywords/secure-multi-party-computation","display_name":"Secure multi-party computation","score":0.4677199423313141},{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.4113166332244873},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.3641201853752136},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.33647388219833374},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32648739218711853},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2963324189186096},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2512626647949219},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.17874354124069214},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.15640676021575928}],"concepts":[{"id":"https://openalex.org/C2780639701","wikidata":"https://www.wikidata.org/wiki/Q354869","display_name":"Image sharing","level":3,"score":0.8764296770095825},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.7465764284133911},{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.739967942237854},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7175255417823792},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.6481056213378906},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.6218286752700806},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5333499908447266},{"id":"https://openalex.org/C131755552","wikidata":"https://www.wikidata.org/wiki/Q935125","display_name":"Shamir's Secret Sharing","level":5,"score":0.5244543552398682},{"id":"https://openalex.org/C132161212","wikidata":"https://www.wikidata.org/wiki/Q5891458","display_name":"Homomorphic secret sharing","level":4,"score":0.5237105488777161},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4967494606971741},{"id":"https://openalex.org/C18396474","wikidata":"https://www.wikidata.org/wiki/Q2465888","display_name":"Secure multi-party computation","level":3,"score":0.4677199423313141},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.4113166332244873},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.3641201853752136},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.33647388219833374},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32648739218711853},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2963324189186096},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2512626647949219},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.17874354124069214},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.15640676021575928},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym11010069","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11010069","pdf_url":"https://www.mdpi.com/2073-8994/11/1/69/pdf?version=1547187612","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5c4293a1264d4e07a108a7530c1642d1","is_oa":true,"landing_page_url":"https://doaj.org/article/5c4293a1264d4e07a108a7530c1642d1","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 11, Iss 1, p 69 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/11/1/69/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym11010069","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym11010069","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11010069","pdf_url":"https://www.mdpi.com/2073-8994/11/1/69/pdf?version=1547187612","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1485974761","display_name":null,"funder_award_id":"2018JJD170004","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2802911279","display_name":null,"funder_award_id":"Young","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5224244903","display_name":null,"funder_award_id":"61662016","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G5946977106","display_name":null,"funder_award_id":"61662016","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6911131087","display_name":null,"funder_award_id":"61662016","funder_id":"https://openalex.org/F4320323266","funder_display_name":"Guilin University of Electronic Technology"},{"id":"https://openalex.org/G7127849189","display_name":null,"funder_award_id":"2018JJD170004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322768","display_name":"Natural Science Foundation of Guangxi Province","ror":null},{"id":"https://openalex.org/F4320323266","display_name":"Guilin University of Electronic Technology","ror":"https://ror.org/05arjae42"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2911005727.pdf","grobid_xml":"https://content.openalex.org/works/W2911005727.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1557863258","https://openalex.org/W1791823560","https://openalex.org/W2023150562","https://openalex.org/W2025216731","https://openalex.org/W2037699872","https://openalex.org/W2040446335","https://openalex.org/W2074657016","https://openalex.org/W2083952939","https://openalex.org/W2087294624","https://openalex.org/W2124317133","https://openalex.org/W2141420453","https://openalex.org/W2146788027","https://openalex.org/W2228297451","https://openalex.org/W2228765596","https://openalex.org/W2328266393","https://openalex.org/W2520119251","https://openalex.org/W2550464140","https://openalex.org/W2589782041","https://openalex.org/W2594265516","https://openalex.org/W2789659149","https://openalex.org/W2792571199","https://openalex.org/W2796722686","https://openalex.org/W2801063443","https://openalex.org/W2892052722","https://openalex.org/W2896262223","https://openalex.org/W2902144422","https://openalex.org/W3046700053","https://openalex.org/W6751049536","https://openalex.org/W6781831481"],"related_works":["https://openalex.org/W2350486768","https://openalex.org/W2164344703","https://openalex.org/W2032053269","https://openalex.org/W2026753506","https://openalex.org/W2573229646","https://openalex.org/W2168248827","https://openalex.org/W2058322292","https://openalex.org/W2162724102","https://openalex.org/W2985786707","https://openalex.org/W3085731999"],"abstract_inverted_index":{"As":[0],"a":[1,11,28,37,43,102],"popular":[2],"technology":[3],"in":[4,66,131],"information":[5],"security,":[6],"secret":[7,16,25,50,97],"image":[8,26,98],"sharing":[9,99,133],"is":[10,54,59,78,105],"method":[12],"to":[13,36,63,80,84],"guarantee":[14],"the":[15,20,24,49,119,128,132,140,145],"image\u2019s":[17],"security.":[18],"Usually,":[19],"dealer":[21],"would":[22],"decompose":[23],"into":[27],"series":[29],"of":[30,39,45,144],"shadows":[31,86,121],"and":[32,41,137,142],"then":[33],"assign":[34],"them":[35],"number":[38],"participants,":[40],"only":[42,117],"quorum":[44],"participants":[46,71],"could":[47],"recover":[48],"image.":[51],"Generally,":[52],"it":[53,77],"assumed":[55],"that":[56],"every":[57],"participant":[58],"equal.":[60],"Actually,":[61],"due":[62],"their":[64],"position":[65],"many":[67],"practical":[68],"applications,":[69],"some":[70],"are":[72],"given":[73],"special":[74],"privileges.":[75],"Therefore,":[76],"desirable":[79],"give":[81],"an":[82,94],"approach":[83],"generate":[85],"with":[87,108,122],"different":[88],"priorities":[89],"shadows.":[90],"In":[91],"this":[92],"paper,":[93],"efficient":[95],"essential":[96],"scheme":[100,114],"using":[101],"derivative":[103],"polynomial":[104],"proposed.":[106],"Compared":[107],"existing":[109],"related":[110],"works,":[111],"our":[112],"proposed":[113,146],"can":[115],"not":[116],"create":[118],"same-sized":[120],"smaller":[123],"size":[124],"but":[125],"also":[126],"removes":[127],"concatenation":[129],"operation":[130],"phase.":[134],"Theoretical":[135],"analysis":[136],"simulations":[138],"confirm":[139],"security":[141],"effectiveness":[143],"scheme.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}
