{"id":"https://openalex.org/W2954309915","doi":"https://doi.org/10.1109/tcsvt.2019.2925522","title":"The Design of a Novel Multiple-Parameter Fractional Number-Theoretic Transform and Its Application to Image Encryption","display_name":"The Design of a Novel Multiple-Parameter Fractional Number-Theoretic Transform and Its Application to Image Encryption","publication_year":2019,"publication_date":"2019-06-27","ids":{"openalex":"https://openalex.org/W2954309915","doi":"https://doi.org/10.1109/tcsvt.2019.2925522","mag":"2954309915"},"language":"en","primary_location":{"id":"doi:10.1109/tcsvt.2019.2925522","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsvt.2019.2925522","pdf_url":null,"source":{"id":"https://openalex.org/S115173108","display_name":"IEEE Transactions on Circuits and Systems for Video Technology","issn_l":"1051-8215","issn":["1051-8215","1558-2205"],"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 Circuits and Systems for Video Technology","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/A5055552527","display_name":"Jos\u00e9 R. de Oliveira Neto","orcid":"https://orcid.org/0000-0002-3104-8985"},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Jose R. de Oliveira Neto","raw_affiliation_strings":["Federal University of Pernambuco, Recife, Brazil"],"affiliations":[{"raw_affiliation_string":"Federal University of Pernambuco, Recife, Brazil","institution_ids":["https://openalex.org/I25112270"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030282439","display_name":"Juliano B. Lima","orcid":"https://orcid.org/0000-0002-1474-1147"},"institutions":[{"id":"https://openalex.org/I25112270","display_name":"Universidade Federal de Pernambuco","ror":"https://ror.org/047908t24","country_code":"BR","type":"education","lineage":["https://openalex.org/I25112270"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Juliano B. Lima","raw_affiliation_strings":["Federal University of Pernambuco, Recife, Brazil"],"affiliations":[{"raw_affiliation_string":"Federal University of Pernambuco, Recife, Brazil","institution_ids":["https://openalex.org/I25112270"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017417125","display_name":"Daniel Panario","orcid":"https://orcid.org/0000-0003-3551-4063"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Daniel Panario","raw_affiliation_strings":["School of Mathematics and Statistics, Carleton University, Ottawa, Canada"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Carleton University, Ottawa, Canada","institution_ids":["https://openalex.org/I67031392"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055552527"],"corresponding_institution_ids":["https://openalex.org/I25112270"],"apc_list":null,"apc_paid":null,"fwci":1.0122,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.80567047,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"30","issue":"8","first_page":"2489","last_page":"2502"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9907000064849854,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9904000163078308,"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/encryption","display_name":"Encryption","score":0.853915274143219},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.6210569143295288},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5483598709106445},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5048847794532776},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.49892091751098633},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4723086357116699},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.46381232142448425},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4549245238304138},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41432899236679077},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21140360832214355},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.09846580028533936},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.06721249222755432}],"concepts":[{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.853915274143219},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.6210569143295288},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5483598709106445},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5048847794532776},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.49892091751098633},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4723086357116699},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.46381232142448425},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4549245238304138},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41432899236679077},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21140360832214355},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.09846580028533936},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.06721249222755432},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsvt.2019.2925522","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsvt.2019.2925522","pdf_url":null,"source":{"id":"https://openalex.org/S115173108","display_name":"IEEE Transactions on Circuits and Systems for Video Technology","issn_l":"1051-8215","issn":["1051-8215","1558-2205"],"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 Circuits and Systems for Video Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2081156522","display_name":null,"funder_award_id":"409543/2018-7","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G528825320","display_name":null,"funder_award_id":"88881.131572/2016-01","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G8046740686","display_name":null,"funder_award_id":"309598/2017-6","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G8357051555","display_name":null,"funder_award_id":"88881.311848/2018-01","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"},{"id":"https://openalex.org/G8747273213","display_name":null,"funder_award_id":"142428/2015-9","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W44586139","https://openalex.org/W565312106","https://openalex.org/W1598573928","https://openalex.org/W1612358929","https://openalex.org/W1706453177","https://openalex.org/W1978997021","https://openalex.org/W1982610373","https://openalex.org/W1983343479","https://openalex.org/W1992478301","https://openalex.org/W1998134205","https://openalex.org/W2007424337","https://openalex.org/W2018288743","https://openalex.org/W2019829283","https://openalex.org/W2020296150","https://openalex.org/W2025597899","https://openalex.org/W2057875231","https://openalex.org/W2060919434","https://openalex.org/W2064181375","https://openalex.org/W2070262701","https://openalex.org/W2077636456","https://openalex.org/W2082401884","https://openalex.org/W2082493123","https://openalex.org/W2090778219","https://openalex.org/W2092245645","https://openalex.org/W2101677434","https://openalex.org/W2102337953","https://openalex.org/W2128678736","https://openalex.org/W2129847888","https://openalex.org/W2134283293","https://openalex.org/W2146267335","https://openalex.org/W2314929147","https://openalex.org/W2323017631","https://openalex.org/W2337678523","https://openalex.org/W2337889883","https://openalex.org/W2342152533","https://openalex.org/W2344891549","https://openalex.org/W2346454445","https://openalex.org/W2384469141","https://openalex.org/W2425286230","https://openalex.org/W2465668359","https://openalex.org/W2524859829","https://openalex.org/W2527030315","https://openalex.org/W2546883973","https://openalex.org/W2557301023","https://openalex.org/W2562860847","https://openalex.org/W2563180213","https://openalex.org/W2581753076","https://openalex.org/W2583459398","https://openalex.org/W2593846387","https://openalex.org/W2737019549","https://openalex.org/W2751901877","https://openalex.org/W2781255632","https://openalex.org/W2782885162","https://openalex.org/W2801820644","https://openalex.org/W2802928413","https://openalex.org/W2803783248","https://openalex.org/W2811072201","https://openalex.org/W2884201190","https://openalex.org/W2889887095","https://openalex.org/W2896409680","https://openalex.org/W2898784076","https://openalex.org/W2899922602","https://openalex.org/W2911948730","https://openalex.org/W2950377098","https://openalex.org/W4285719527","https://openalex.org/W6717539790"],"related_works":["https://openalex.org/W2366107444","https://openalex.org/W4388145910","https://openalex.org/W2381570729","https://openalex.org/W1976205134","https://openalex.org/W4248336175","https://openalex.org/W2031260042","https://openalex.org/W2375981391","https://openalex.org/W45120566","https://openalex.org/W2767997441","https://openalex.org/W2361408597"],"abstract_inverted_index":{"In":[0,17],"this":[1],"paper,":[2],"we":[3,27],"describe":[4],"an":[5],"image":[6,109],"encryption":[7,110],"scheme":[8,47,84],"based":[9],"on":[10],"the":[11,21,45,56,60],"multiple-parameter":[12],"fractional":[13],"number-theoretic":[14,35],"transform":[15,36],"(MFrNTT).":[16],"order":[18],"to":[19,32,50,89],"define":[20],"MFrNTT":[22],"used":[23],"in":[24,55,68],"our":[25,63,83],"proposal,":[26],"introduce":[28],"a":[29,34,100],"systematic":[30],"procedure":[31],"construct":[33],"eigenbasis":[37],"from":[38],"chosen":[39],"parameters.":[40],"Our":[41],"results":[42],"indicate":[43],"that":[44,82,97],"proposed":[46],"can":[48,85],"resist":[49],"cryptographical":[51],"attacks":[52],"usually":[53],"considered":[54],"related":[57],"literature;":[58],"at":[59],"same":[61],"time,":[62],"method":[64],"is":[65],"very":[66],"competitive":[67],"terms":[69],"of":[70,94,103],"encryption/decryption":[71],"speed":[72],"when":[73],"compared":[74],"with":[75,91],"other":[76,107],"existing":[77],"approaches.":[78],"We":[79],"also":[80],"demonstrate":[81],"be":[86],"easily":[87],"adjusted":[88],"deal":[90],"different":[92],"types":[93],"images":[95],"and":[96],"it":[98],"involves":[99],"larger":[101],"number":[102],"free":[104],"parameters":[105],"than":[106],"NTT-based":[108],"techniques.":[111]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}