{"id":"https://openalex.org/W4293812224","doi":"https://doi.org/10.1109/access.2022.3203067","title":"Biomedical Multimedia Encryption by Fractional-Order Meixner Polynomials Map and Quaternion Fractional-Order Meixner Moments","display_name":"Biomedical Multimedia Encryption by Fractional-Order Meixner Polynomials Map and Quaternion Fractional-Order Meixner Moments","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4293812224","doi":"https://doi.org/10.1109/access.2022.3203067"},"language":"en","primary_location":{"id":"doi:10.1109/access.2022.3203067","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3203067","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09870787.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09870787.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009479195","display_name":"Achraf Daoui","orcid":"https://orcid.org/0000-0002-2326-9550"},"institutions":[{"id":"https://openalex.org/I81605866","display_name":"Sidi Mohamed Ben Abdellah University","ror":"https://ror.org/04efg9a07","country_code":"MA","type":"education","lineage":["https://openalex.org/I81605866"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Achraf Daoui","raw_affiliation_strings":["Engineering, Systems and Applications Laboratory, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Fez, Morocco","National School of Applied Sciences, Engineering, Systems and Applications Laboratory, Sidi Mohamed Ben Abdellah University, My Abdallah Avenue Km. 5 Imouzzer Road, Fez, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Engineering, Systems and Applications Laboratory, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]},{"raw_affiliation_string":"National School of Applied Sciences, Engineering, Systems and Applications Laboratory, Sidi Mohamed Ben Abdellah University, My Abdallah Avenue Km. 5 Imouzzer Road, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076092179","display_name":"Mohamed Yamni","orcid":"https://orcid.org/0000-0002-9436-8361"},"institutions":[{"id":"https://openalex.org/I81605866","display_name":"Sidi Mohamed Ben Abdellah University","ror":"https://ror.org/04efg9a07","country_code":"MA","type":"education","lineage":["https://openalex.org/I81605866"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Mohamed Yamni","raw_affiliation_strings":["Laboratory of Electronic Signals and Systems of Information (LESSI), Dhar El Mahrez Faculty of Science, Sidi Mohamed Ben Abdellah University, Fez, Morocco","Dhar El Mahrez Faculty of Science, Laboratory of Electronic Signals and Systems of Information LESSI, Sidi Mohamed Ben Abdellah-Fez University, Fez, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Electronic Signals and Systems of Information (LESSI), Dhar El Mahrez Faculty of Science, Sidi Mohamed Ben Abdellah University, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]},{"raw_affiliation_string":"Dhar El Mahrez Faculty of Science, Laboratory of Electronic Signals and Systems of Information LESSI, Sidi Mohamed Ben Abdellah-Fez University, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046704374","display_name":"Hicham Karmouni","orcid":"https://orcid.org/0000-0001-9225-8380"},"institutions":[{"id":"https://openalex.org/I81605866","display_name":"Sidi Mohamed Ben Abdellah University","ror":"https://ror.org/04efg9a07","country_code":"MA","type":"education","lineage":["https://openalex.org/I81605866"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Hicham Karmouni","raw_affiliation_strings":["Engineering, Systems and Applications Laboratory, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Fez, Morocco","National School of Applied Sciences, Engineering, Systems and Applications Laboratory, Sidi Mohamed Ben Abdellah University, My Abdallah Avenue Km. 5 Imouzzer Road, Fez, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Engineering, Systems and Applications Laboratory, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]},{"raw_affiliation_string":"National School of Applied Sciences, Engineering, Systems and Applications Laboratory, Sidi Mohamed Ben Abdellah University, My Abdallah Avenue Km. 5 Imouzzer Road, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006453222","display_name":"Mhamed Sayyouri","orcid":"https://orcid.org/0000-0002-1615-419X"},"institutions":[{"id":"https://openalex.org/I81605866","display_name":"Sidi Mohamed Ben Abdellah University","ror":"https://ror.org/04efg9a07","country_code":"MA","type":"education","lineage":["https://openalex.org/I81605866"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Mhamed Sayyouri","raw_affiliation_strings":["Engineering, Systems and Applications Laboratory, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Fez, Morocco","National School of Applied Sciences, Engineering, Systems and Applications Laboratory, Sidi Mohamed Ben Abdellah University, My Abdallah Avenue Km. 5 Imouzzer Road, Fez, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Engineering, Systems and Applications Laboratory, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]},{"raw_affiliation_string":"National School of Applied Sciences, Engineering, Systems and Applications Laboratory, Sidi Mohamed Ben Abdellah University, My Abdallah Avenue Km. 5 Imouzzer Road, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090460868","display_name":"Hassan Qjidaa","orcid":"https://orcid.org/0000-0003-4505-5243"},"institutions":[{"id":"https://openalex.org/I81605866","display_name":"Sidi Mohamed Ben Abdellah University","ror":"https://ror.org/04efg9a07","country_code":"MA","type":"education","lineage":["https://openalex.org/I81605866"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Hassan Qjidaa","raw_affiliation_strings":["Laboratory of Electronic Signals and Systems of Information (LESSI), Dhar El Mahrez Faculty of Science, Sidi Mohamed Ben Abdellah University, Fez, Morocco","Dhar El Mahrez Faculty of Science, Laboratory of Electronic Signals and Systems of Information LESSI, Sidi Mohamed Ben Abdellah-Fez University, Fez, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Electronic Signals and Systems of Information (LESSI), Dhar El Mahrez Faculty of Science, Sidi Mohamed Ben Abdellah University, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]},{"raw_affiliation_string":"Dhar El Mahrez Faculty of Science, Laboratory of Electronic Signals and Systems of Information LESSI, Sidi Mohamed Ben Abdellah-Fez University, Fez, Morocco","institution_ids":["https://openalex.org/I81605866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053467873","display_name":"Musheer Ahmad","orcid":"https://orcid.org/0000-0002-4915-9325"},"institutions":[{"id":"https://openalex.org/I59475050","display_name":"Jamia Millia Islamia","ror":"https://ror.org/00pnhhv55","country_code":"IN","type":"education","lineage":["https://openalex.org/I59475050"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Musheer Ahmad","raw_affiliation_strings":["Department of Computer Engineering, Jamia Millia Islamia, New Delhi, India"],"raw_orcid":"https://orcid.org/0000-0002-4915-9325","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Jamia Millia Islamia, New Delhi, India","institution_ids":["https://openalex.org/I59475050"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051434121","display_name":"Ahmed A. Abd El\u2010Latif","orcid":"https://orcid.org/0000-0002-5068-2033"},"institutions":[{"id":"https://openalex.org/I142024983","display_name":"Prince Sultan University","ror":"https://ror.org/053mqrf26","country_code":"SA","type":"education","lineage":["https://openalex.org/I142024983"]},{"id":"https://openalex.org/I63601056","display_name":"Menoufia University","ror":"https://ror.org/05sjrb944","country_code":"EG","type":"education","lineage":["https://openalex.org/I63601056"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"Ahmed A. Abd El-Latif","raw_affiliation_strings":["EIAS Data Science Laboratory, College of Computer and Information Sciences, Prince Sultan University, Riyadh, Saudi Arabia","Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Kom, Menoufia, Egypt"],"raw_orcid":"https://orcid.org/0000-0002-5068-2033","affiliations":[{"raw_affiliation_string":"EIAS Data Science Laboratory, College of Computer and Information Sciences, Prince Sultan University, Riyadh, Saudi Arabia","institution_ids":["https://openalex.org/I142024983"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Kom, Menoufia, Egypt","institution_ids":["https://openalex.org/I63601056"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":5.0767,"has_fulltext":true,"cited_by_count":53,"citation_normalized_percentile":{"value":0.96597226,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"10","issue":null,"first_page":"102599","last_page":"102617"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":1.0,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":1.0,"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/T11130","display_name":"Coding theory and cryptography","score":0.9952999949455261,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9918000102043152,"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/encryption","display_name":"Encryption","score":0.7904152870178223},{"id":"https://openalex.org/keywords/grayscale","display_name":"Grayscale","score":0.7264106273651123},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6163381934165955},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5163606405258179},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47456151247024536},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.44628849625587463},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.44335633516311646},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4323571026325226},{"id":"https://openalex.org/keywords/tent-map","display_name":"Tent map","score":0.43037810921669006},{"id":"https://openalex.org/keywords/logistic-map","display_name":"Logistic map","score":0.411778062582016},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39469003677368164},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3571949899196625},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.32149869203567505},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.29122114181518555},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.08707889914512634}],"concepts":[{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.7904152870178223},{"id":"https://openalex.org/C78201319","wikidata":"https://www.wikidata.org/wiki/Q685727","display_name":"Grayscale","level":3,"score":0.7264106273651123},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6163381934165955},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5163606405258179},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47456151247024536},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.44628849625587463},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.44335633516311646},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4323571026325226},{"id":"https://openalex.org/C15998118","wikidata":"https://www.wikidata.org/wiki/Q11319849","display_name":"Tent map","level":3,"score":0.43037810921669006},{"id":"https://openalex.org/C205330730","wikidata":"https://www.wikidata.org/wiki/Q587182","display_name":"Logistic map","level":3,"score":0.411778062582016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39469003677368164},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3571949899196625},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.32149869203567505},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.29122114181518555},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.08707889914512634},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2022.3203067","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3203067","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09870787.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:769e8787532a428c820de7bfb3b0b5c4","is_oa":true,"landing_page_url":"https://doaj.org/article/769e8787532a428c820de7bfb3b0b5c4","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":"IEEE Access, Vol 10, Pp 102599-102617 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2022.3203067","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3203067","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09870787.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.41999998688697815,"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321116","display_name":"Academy of Scientific Research and Technology","ror":"https://ror.org/02k284p70"},{"id":"https://openalex.org/F4320325741","display_name":"Menofia\u00a0University","ror":"https://ror.org/05sjrb944"},{"id":"https://openalex.org/F4320327702","display_name":"Prince Sultan University","ror":"https://ror.org/053mqrf26"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4293812224.pdf","grobid_xml":"https://content.openalex.org/works/W4293812224.grobid-xml"},"referenced_works_count":60,"referenced_works":["https://openalex.org/W143537628","https://openalex.org/W1528946717","https://openalex.org/W1984029601","https://openalex.org/W1990178832","https://openalex.org/W2016380472","https://openalex.org/W2028335886","https://openalex.org/W2041879348","https://openalex.org/W2105145864","https://openalex.org/W2111247758","https://openalex.org/W2232317135","https://openalex.org/W2259427707","https://openalex.org/W2323473128","https://openalex.org/W2334173763","https://openalex.org/W2425286230","https://openalex.org/W2523137896","https://openalex.org/W2529607158","https://openalex.org/W2576083709","https://openalex.org/W2576609974","https://openalex.org/W2609045769","https://openalex.org/W2743436145","https://openalex.org/W2760967785","https://openalex.org/W2767593850","https://openalex.org/W2768089111","https://openalex.org/W2770549268","https://openalex.org/W2786395579","https://openalex.org/W2887450173","https://openalex.org/W2899691607","https://openalex.org/W2912846989","https://openalex.org/W2924210827","https://openalex.org/W2967243140","https://openalex.org/W2972307409","https://openalex.org/W2981730353","https://openalex.org/W2987454897","https://openalex.org/W2989278094","https://openalex.org/W2996878224","https://openalex.org/W3003512042","https://openalex.org/W3008852227","https://openalex.org/W3020481428","https://openalex.org/W3039588931","https://openalex.org/W3080554076","https://openalex.org/W3085977365","https://openalex.org/W3088689883","https://openalex.org/W3094409532","https://openalex.org/W3109863487","https://openalex.org/W3118949594","https://openalex.org/W3126165053","https://openalex.org/W3136202465","https://openalex.org/W3158925544","https://openalex.org/W3175666734","https://openalex.org/W3184853458","https://openalex.org/W3187133740","https://openalex.org/W3188266707","https://openalex.org/W3199962470","https://openalex.org/W3200323018","https://openalex.org/W3212021215","https://openalex.org/W4212954033","https://openalex.org/W4233520335","https://openalex.org/W4284879000","https://openalex.org/W6692386281","https://openalex.org/W6717539790"],"related_works":["https://openalex.org/W2388148802","https://openalex.org/W4238105054","https://openalex.org/W2393587766","https://openalex.org/W2538527336","https://openalex.org/W4387314557","https://openalex.org/W1974181783","https://openalex.org/W3103400228","https://openalex.org/W2360233907","https://openalex.org/W2219576803","https://openalex.org/W2383498754"],"abstract_inverted_index":{"Chaotic":[0],"systems":[1,17],"are":[2,125,177],"widely":[3],"used":[4],"in":[5,28,116,127,198],"signal":[6,120],"and":[7,76,114,121,164,188],"image":[8,122],"encryption":[9,26,133,146,194],"schemes.":[10],"Therefore,":[11],"the":[12,23,38,99,107,110,117,128,145,181,184,207,221,224,228],"design":[13],"of":[14,25,30,41,71,86,109,119,130,138,147,150,183,200,206,215,223,231],"new":[15,50,84,132],"chaotic":[16,39,53],"is":[18,60,141,196],"always":[19],"useful":[20],"for":[21,47,227],"improving":[22],"performance":[24],"schemes":[27],"terms":[29,199],"security.":[31],"In":[32],"this":[33,139],"work,":[34],"we":[35,78],"first":[36],"demonstrate":[37,106],"behavior":[40],"fractional":[42,91,101],"order":[43,92,102],"Meixner":[44,93,103],"polynomials":[45],"(FrMPs)":[46],"introducing":[48],"a":[49,83,131,235],"two-dimensional":[51],"(2D)":[52],"system":[54,59],"called":[55,89],"FrMPs":[56,80,112],"map.":[57],"This":[58],"very":[61],"sensitive":[62],"to":[63,81,144,179,212],"any":[64],"variation":[65],"by":[66],"10":[67],"<sup":[68],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[69],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">-15</sup>":[70],"its":[72,142],"control":[73],"parameters":[74],"(\u03bc":[75],"\u03b2).Next,":[77],"use":[79],"introduce":[82],"type":[85],"orthogonal":[87],"transforms":[88],"quaternion":[90],"moments":[94],"(QFrMMs).":[95],"The":[96,135],"latter":[97],"generalize":[98],"existing":[100],"moments.":[104],"To":[105],"relevance":[108],"proposed":[111,185,225],"map":[113],"QFrMMs":[115],"field":[118],"processing,":[123],"they":[124],"applied":[126],"development":[129],"scheme.":[134,186],"main":[136],"advantage":[137],"scheme":[140,226],"applicability":[143],"different":[148,213],"types":[149,214],"biomedical":[151,232],"data":[152],"such":[153],"as":[154],"multi-biomedical":[155],"signals,":[156],"multiple":[157],"grayscale":[158,165],"medical":[159,162,166],"images,":[160],"color":[161],"image,":[163],"image.":[167],"Several":[168],"simulation":[169],"analysis":[170],"(visual,":[171],"histogram,":[172],"runtime,":[173],"correlation,":[174],"robustness,":[175],"etc.)":[176],"conducted":[178],"verify":[180],"efficiency":[182],"Simulation":[187],"comparison":[189],"results":[190],"confirm":[191],"that":[192],"our":[193],"method":[195],"effective":[197],"high":[201,204],"security":[202],"level,":[203],"quality":[205],"decrypted":[208],"information,":[209],"strong":[210],"resistance":[211],"attacks,":[216],"etc.":[217],"These":[218],"findings":[219],"support":[220],"suitability":[222],"secure":[229],"exchange":[230],"multimedia":[233],"via":[234],"public":[236],"communication":[237],"channel.":[238]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":20},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}