{"id":"https://openalex.org/W3091620623","doi":"https://doi.org/10.34768/amcs-2020-0029","title":"Image cipher applications using the elliptical curve and chaos","display_name":"Image cipher applications using the elliptical curve and chaos","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3091620623","doi":"https://doi.org/10.34768/amcs-2020-0029","mag":"3091620623"},"language":"en","primary_location":{"id":"doi:10.34768/amcs-2020-0029","is_oa":true,"landing_page_url":"https://doi.org/10.34768/amcs-2020-0029","pdf_url":"https://sciendo.com/pdf/10.34768/amcs-2020-0029","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://sciendo.com/pdf/10.34768/amcs-2020-0029","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065354713","display_name":"V\u00edctor Manuel Silva-Garc\u00eda","orcid":"https://orcid.org/0000-0003-1312-5294"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"V\u00edctor Manuel Silva-Garc\u00eda","raw_affiliation_strings":["Center for Innovation and Technological Development, National Polytechnic Institute (IPN)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Innovation and Technological Development, National Polytechnic Institute (IPN)","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050251589","display_name":"Rolando Flores-Carapia","orcid":"https://orcid.org/0000-0002-8557-9941"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Rolando Flores-Carapia","raw_affiliation_strings":["Center for Innovation and Technological Development, National Polytechnic Institute (IPN)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Innovation and Technological Development, National Polytechnic Institute (IPN)","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072096213","display_name":"Carlos Renter\u00eda-M\u00e1rquez","orcid":"https://orcid.org/0000-0003-4223-3251"},"institutions":[{"id":"https://openalex.org/I70764802","display_name":"National Polytechnic School","ror":"https://ror.org/01gb99w41","country_code":"EC","type":"education","lineage":["https://openalex.org/I70764802"]}],"countries":["EC"],"is_corresponding":false,"raw_author_name":"Carlos Renter\u00eda-M\u00e1rquez","raw_affiliation_strings":["Higher School of Physics and Mathematics, National Polytechnic Institute (IPN)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Higher School of Physics and Mathematics, National Polytechnic Institute (IPN)","institution_ids":["https://openalex.org/I70764802"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067101051","display_name":"B. Luna-Benoso","orcid":"https://orcid.org/0000-0002-3519-6328"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bejam\u00edn Luna-Benoso","raw_affiliation_strings":["Higher School of Computing, National Polytechnic Institute (IPN)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Higher School of Computing, National Polytechnic Institute (IPN)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065981833","display_name":"Juan Carlos Chimal-Egu\u00eda","orcid":"https://orcid.org/0000-0001-7134-0190"},"institutions":[{"id":"https://openalex.org/I70764802","display_name":"National Polytechnic School","ror":"https://ror.org/01gb99w41","country_code":"EC","type":"education","lineage":["https://openalex.org/I70764802"]},{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["EC","MX"],"is_corresponding":false,"raw_author_name":"Juan Carlos Chimal-Egu\u00eda","raw_affiliation_strings":["Computation Research Center, National Polytechnic Institute (IPN)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computation Research Center, National Polytechnic Institute (IPN)","institution_ids":["https://openalex.org/I70764802","https://openalex.org/I59361560"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5065354713"],"corresponding_institution_ids":["https://openalex.org/I59361560"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":0.6865,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.72460792,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"30","issue":"2","first_page":null,"last_page":null},"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.996399998664856,"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/T11130","display_name":"Coding theory and cryptography","score":0.9842000007629395,"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/mathematics","display_name":"Mathematics","score":0.7034137845039368},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.5255804657936096},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49556267261505127},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.4566655457019806},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.45532962679862976},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.45528870820999146},{"id":"https://openalex.org/keywords/jacobian-curve","display_name":"Jacobian curve","score":0.4466901123523712},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.438048392534256},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.42305248975753784},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.41308772563934326},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.37269628047943115},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.34227949380874634},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.31383877992630005},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20732077956199646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17096424102783203},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1393459439277649}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7034137845039368},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.5255804657936096},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49556267261505127},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.4566655457019806},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.45532962679862976},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.45528870820999146},{"id":"https://openalex.org/C79993320","wikidata":"https://www.wikidata.org/wiki/Q6119657","display_name":"Jacobian curve","level":5,"score":0.4466901123523712},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.438048392534256},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.42305248975753784},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.41308772563934326},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.37269628047943115},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.34227949380874634},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31383877992630005},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20732077956199646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17096424102783203},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1393459439277649},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"score":0.0},{"id":"https://openalex.org/C121444067","wikidata":"https://www.wikidata.org/wiki/Q2835817","display_name":"Schoof's algorithm","level":4,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.34768/amcs-2020-0029","is_oa":true,"landing_page_url":"https://doi.org/10.34768/amcs-2020-0029","pdf_url":"https://sciendo.com/pdf/10.34768/amcs-2020-0029","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b9a63c6a700245c383163ea6f3e0d56c","is_oa":true,"landing_page_url":"https://doaj.org/article/b9a63c6a700245c383163ea6f3e0d56c","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":"International Journal of Applied Mathematics and Computer Science, Vol 30, Iss 2, Pp 377-391 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.34768/amcs-2020-0029","is_oa":true,"landing_page_url":"https://doi.org/10.34768/amcs-2020-0029","pdf_url":"https://sciendo.com/pdf/10.34768/amcs-2020-0029","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3091620623.pdf"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W142045744","https://openalex.org/W607544881","https://openalex.org/W1510478584","https://openalex.org/W1517403092","https://openalex.org/W1518469625","https://openalex.org/W1527545029","https://openalex.org/W1547407391","https://openalex.org/W1596493725","https://openalex.org/W1876456565","https://openalex.org/W1964723977","https://openalex.org/W1985350339","https://openalex.org/W1986003194","https://openalex.org/W1995875735","https://openalex.org/W2000309477","https://openalex.org/W2003234415","https://openalex.org/W2004362160","https://openalex.org/W2007580162","https://openalex.org/W2018839322","https://openalex.org/W2064161181","https://openalex.org/W2066730489","https://openalex.org/W2068696816","https://openalex.org/W2068820542","https://openalex.org/W2084387961","https://openalex.org/W2117420234","https://openalex.org/W2131276190","https://openalex.org/W2143803455","https://openalex.org/W2148254922","https://openalex.org/W2155644445","https://openalex.org/W2188937808","https://openalex.org/W2254614551","https://openalex.org/W2539629874","https://openalex.org/W2586555532","https://openalex.org/W2757411217","https://openalex.org/W2760779977","https://openalex.org/W2967852615","https://openalex.org/W2993383518","https://openalex.org/W3021007144","https://openalex.org/W3161081806","https://openalex.org/W4230620784","https://openalex.org/W4243494487","https://openalex.org/W4245600908","https://openalex.org/W4295101635"],"related_works":["https://openalex.org/W1525119623","https://openalex.org/W1721535522","https://openalex.org/W2950642020","https://openalex.org/W4386833582","https://openalex.org/W4319653416","https://openalex.org/W1596411003","https://openalex.org/W4301839635","https://openalex.org/W3004838398","https://openalex.org/W2950417246","https://openalex.org/W2799131975"],"abstract_inverted_index":{"A":[0],"novel":[1],"symmetric":[2],"cryptosystem":[3],"of":[4,111,113],"the":[5,33,75,109,114,119,128,140,147],"substitution":[6,85],"permutation":[7,136],"network":[8],"type":[9],"is":[10,20,32,52,59,72,87,137],"presented":[11],"for":[12],"image":[13,34,133],"encryption":[14],"in":[15,66,105,139,146],"14":[16],"rounds.":[17],"An":[18],"algorithm":[19,94],"developed":[21],"to":[22,26,61,107],"generate":[23],"15":[24],"keys":[25,37],"encrypt":[27],"images":[28],"where":[29],"each":[30],"key":[31],"size.":[35],"These":[36],"are":[38,103],"calculated":[39],"using":[40,74,89],"an":[41,93,132],"elliptic":[42],"curve":[43,51],"with":[44,127],"a":[45,63,67,81,97,124],"constant":[46],"zero":[47],"value.":[48],"The":[49,100],"proposed":[50],"non-singular,":[53],"non-supersingular,":[54],"nor":[55],"trace":[56],"one.":[57],"Chaos":[58],"employed":[60],"find":[62],"generating":[64],"element":[65],"cyclic":[68],"subgroup":[69],"and":[70,92,123,143],"it":[71],"produced":[73],"logistic":[76],"map":[77],"equation.":[78],"In":[79],"addition,":[80],"16":[82,84],"\u00d7":[83],"box":[86],"constructed":[88],"both":[90],"chaos":[91],"that":[95],"defines":[96],"bijective":[98],"function.":[99],"following":[101],"tools":[102],"used":[104],"order":[106],"measure":[108],"degree":[110],"randomness":[112],"encrypted":[115],"figures:":[116],"entropy,":[117],"correlation,":[118],"discrete":[120],"Fourier":[121],"transform":[122],"goodness-of-fit":[125],"test":[126],"chi-square":[129],"distribution.":[130],"Furthermore,":[131],"size":[134],"variable":[135],"applied":[138],"first":[141],"round,":[142],"its":[144],"inverse":[145],"fourteenth.":[148]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2020-10-08T00:00:00"}
