{"id":"https://openalex.org/W4406985890","doi":"https://doi.org/10.1007/s10623-025-01574-3","title":"A public key encryption algorithm based on multi-dimensional general Chebyshev polynomial","display_name":"A public key encryption algorithm based on multi-dimensional general Chebyshev polynomial","publication_year":2025,"publication_date":"2025-01-30","ids":{"openalex":"https://openalex.org/W4406985890","doi":"https://doi.org/10.1007/s10623-025-01574-3"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-025-01574-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-025-01574-3","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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":null,"display_name":"Rudong Min","orcid":null},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rudong Min","raw_affiliation_strings":["School of Information Science and Engineering, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011412438","display_name":"Jiale Han","orcid":"https://orcid.org/0000-0001-6477-0424"},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiale Han","raw_affiliation_strings":["School of Information Science and Engineering, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079381611","display_name":"Shouliang Li","orcid":"https://orcid.org/0000-0001-7090-0811"},"institutions":[{"id":"https://openalex.org/I22716506","display_name":"Lanzhou University of Technology","ror":"https://ror.org/03panb555","country_code":"CN","type":"education","lineage":["https://openalex.org/I22716506"]},{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shouliang Li","raw_affiliation_strings":["Key Laboratory of Artificial Intelligence and Computing Power Technology (Gansu Province), Lanzhou, 730000, People\u2019s Republic of China","School of Information Science and Engineering, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Artificial Intelligence and Computing Power Technology (Gansu Province), Lanzhou, 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I22716506"]},{"raw_affiliation_string":"School of Information Science and Engineering, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047980942","display_name":"Zhen Yang","orcid":"https://orcid.org/0000-0002-4400-3823"},"institutions":[{"id":"https://openalex.org/I22716506","display_name":"Lanzhou University of Technology","ror":"https://ror.org/03panb555","country_code":"CN","type":"education","lineage":["https://openalex.org/I22716506"]},{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhen Yang","raw_affiliation_strings":["Key Laboratory of Artificial Intelligence and Computing Power Technology (Gansu Province), Lanzhou, 730000, People\u2019s Republic of China","School of Information Science and Engineering, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Artificial Intelligence and Computing Power Technology (Gansu Province), Lanzhou, 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I22716506"]},{"raw_affiliation_string":"School of Information Science and Engineering, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100733870","display_name":"Yi Yang","orcid":"https://orcid.org/0000-0003-0693-9193"},"institutions":[{"id":"https://openalex.org/I22716506","display_name":"Lanzhou University of Technology","ror":"https://ror.org/03panb555","country_code":"CN","type":"education","lineage":["https://openalex.org/I22716506"]},{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Yang","raw_affiliation_strings":["Key Laboratory of Artificial Intelligence and Computing Power Technology (Gansu Province), Lanzhou, 730000, People\u2019s Republic of China","School of Information Science and Engineering, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Artificial Intelligence and Computing Power Technology (Gansu Province), Lanzhou, 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I22716506"]},{"raw_affiliation_string":"School of Information Science and Engineering, Lanzhou University, Lanzhou, 730000, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76214153"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5047980942"],"corresponding_institution_ids":["https://openalex.org/I22716506","https://openalex.org/I76214153"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01031898,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"93","issue":"6","first_page":"1809","last_page":"1836"},"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":0.9998999834060669,"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":0.9998000264167786,"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":0.8002930879592896},{"id":"https://openalex.org/keywords/chebyshev-nodes","display_name":"Chebyshev nodes","score":0.6217936873435974},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5767696499824524},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.5515652298927307},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5394033193588257},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.5220305919647217},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.4649103581905365},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.4610340893268585},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4235371947288513},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39347946643829346},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3921999931335449},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2134280800819397},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16691529750823975},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1111108660697937},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.07018846273422241}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8002930879592896},{"id":"https://openalex.org/C171326582","wikidata":"https://www.wikidata.org/wiki/Q1052508","display_name":"Chebyshev nodes","level":3,"score":0.6217936873435974},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5767696499824524},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.5515652298927307},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5394033193588257},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.5220305919647217},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.4649103581905365},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.4610340893268585},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4235371947288513},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39347946643829346},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3921999931335449},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2134280800819397},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16691529750823975},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1111108660697937},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.07018846273422241}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-025-01574-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-025-01574-3","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3697507726","display_name":null,"funder_award_id":"22YF7GA006,22JR5RA492","funder_id":"https://openalex.org/F4320322880","funder_display_name":"Natural Science Foundation of Gansu Province"}],"funders":[{"id":"https://openalex.org/F4320322880","display_name":"Natural Science Foundation of Gansu Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1849280677","https://openalex.org/W1976488432","https://openalex.org/W1982179579","https://openalex.org/W1988175273","https://openalex.org/W1991225523","https://openalex.org/W1992368615","https://openalex.org/W2014783154","https://openalex.org/W2020237187","https://openalex.org/W2026753615","https://openalex.org/W2034523001","https://openalex.org/W2035946966","https://openalex.org/W2036378739","https://openalex.org/W2064256524","https://openalex.org/W2090396608","https://openalex.org/W2094544665","https://openalex.org/W2096964558","https://openalex.org/W2105709923","https://openalex.org/W2108834246","https://openalex.org/W2138307787","https://openalex.org/W2625958646","https://openalex.org/W2749721587","https://openalex.org/W2790635691","https://openalex.org/W2900721467","https://openalex.org/W2917698690","https://openalex.org/W2949404011","https://openalex.org/W2969904548","https://openalex.org/W2989906196","https://openalex.org/W3006891966","https://openalex.org/W3029861272","https://openalex.org/W3041876782","https://openalex.org/W3163909197","https://openalex.org/W4323816033","https://openalex.org/W4367016887","https://openalex.org/W4386090459","https://openalex.org/W4392016994"],"related_works":["https://openalex.org/W2021099221","https://openalex.org/W2112919228","https://openalex.org/W1988318322","https://openalex.org/W4390947848","https://openalex.org/W4323652453","https://openalex.org/W2136992695","https://openalex.org/W2179563627","https://openalex.org/W2541927208","https://openalex.org/W2106962382","https://openalex.org/W2382532955"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}