{"id":"https://openalex.org/W2990232073","doi":"https://doi.org/10.1007/s11277-019-06973-z","title":"A Novel Technique to Improve Nonlinearity of Substitution Box Without Disturbing Its Mathematical Properties","display_name":"A Novel Technique to Improve Nonlinearity of Substitution Box Without Disturbing Its Mathematical Properties","publication_year":2019,"publication_date":"2019-11-22","ids":{"openalex":"https://openalex.org/W2990232073","doi":"https://doi.org/10.1007/s11277-019-06973-z","mag":"2990232073"},"language":"en","primary_location":{"id":"doi:10.1007/s11277-019-06973-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11277-019-06973-z","pdf_url":null,"source":{"id":"https://openalex.org/S49967189","display_name":"Wireless Personal Communications","issn_l":"0929-6212","issn":["0929-6212","1572-834X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wireless Personal Communications","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/A5002237072","display_name":"Abdul Razaq","orcid":"https://orcid.org/0009-0001-1554-5543"},"institutions":[{"id":"https://openalex.org/I3130814776","display_name":"University of Okara","ror":"https://ror.org/02fmg6q11","country_code":"PK","type":"education","lineage":["https://openalex.org/I3130814776"]},{"id":"https://openalex.org/I5100685","display_name":"University of Education","ror":"https://ror.org/052z7nw84","country_code":"PK","type":"education","lineage":["https://openalex.org/I5100685"]}],"countries":["PK"],"is_corresponding":true,"raw_author_name":"Abdul Razaq","raw_affiliation_strings":["Department of Mathematics, Division of Science and Technology, University of Education Lahore, Lahore, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-1898-4082","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Division of Science and Technology, University of Education Lahore, Lahore, Pakistan","institution_ids":["https://openalex.org/I5100685","https://openalex.org/I3130814776"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072393463","display_name":"Atta Ullah","orcid":"https://orcid.org/0000-0002-0590-563X"},"institutions":[{"id":"https://openalex.org/I12469534","display_name":"Quaid-i-Azam University","ror":"https://ror.org/04s9hft57","country_code":"PK","type":"education","lineage":["https://openalex.org/I12469534"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Atta Ullah","raw_affiliation_strings":["Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan","institution_ids":["https://openalex.org/I12469534"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088200543","display_name":"Adil Waheed","orcid":"https://orcid.org/0009-0005-6544-3261"},"institutions":[{"id":"https://openalex.org/I3130814776","display_name":"University of Okara","ror":"https://ror.org/02fmg6q11","country_code":"PK","type":"education","lineage":["https://openalex.org/I3130814776"]},{"id":"https://openalex.org/I5100685","display_name":"University of Education","ror":"https://ror.org/052z7nw84","country_code":"PK","type":"education","lineage":["https://openalex.org/I5100685"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Adil Waheed","raw_affiliation_strings":["Department of Computer Science, Division of Science and Technology, University of Education Lahore, Lahore, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Division of Science and Technology, University of Education Lahore, Lahore, Pakistan","institution_ids":["https://openalex.org/I5100685","https://openalex.org/I3130814776"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002237072"],"corresponding_institution_ids":["https://openalex.org/I3130814776","https://openalex.org/I5100685"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":0.4084,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.66675074,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"111","issue":"4","first_page":"2091","last_page":"2105"},"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":0.9995999932289124,"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/computer-science","display_name":"Computer science","score":0.7644330263137817},{"id":"https://openalex.org/keywords/substitution","display_name":"Substitution (logic)","score":0.7625300884246826},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.694856584072113},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.6773012280464172},{"id":"https://openalex.org/keywords/row-and-column-spaces","display_name":"Row and column spaces","score":0.600264310836792},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5986124277114868},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.528942883014679},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5139374136924744},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5094500184059143},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5046564340591431},{"id":"https://openalex.org/keywords/s-box","display_name":"S-box","score":0.49771955609321594},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4689970016479492},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4425647556781769},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4216134548187256},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39218294620513916},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.35652652382850647},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.22748005390167236},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22216638922691345},{"id":"https://openalex.org/keywords/block-cipher","display_name":"Block cipher","score":0.20498549938201904},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14134177565574646},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09781759977340698}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7644330263137817},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.7625300884246826},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.694856584072113},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.6773012280464172},{"id":"https://openalex.org/C104140500","wikidata":"https://www.wikidata.org/wiki/Q2088159","display_name":"Row and column spaces","level":3,"score":0.600264310836792},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5986124277114868},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.528942883014679},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5139374136924744},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5094500184059143},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5046564340591431},{"id":"https://openalex.org/C45737032","wikidata":"https://www.wikidata.org/wiki/Q748364","display_name":"S-box","level":4,"score":0.49771955609321594},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4689970016479492},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4425647556781769},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4216134548187256},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39218294620513916},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.35652652382850647},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.22748005390167236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22216638922691345},{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.20498549938201904},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14134177565574646},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09781759977340698},{"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/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11277-019-06973-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11277-019-06973-z","pdf_url":null,"source":{"id":"https://openalex.org/S49967189","display_name":"Wireless Personal Communications","issn_l":"0929-6212","issn":["0929-6212","1572-834X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wireless Personal Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Zero hunger","id":"https://metadata.un.org/sdg/2","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W119362848","https://openalex.org/W1562714201","https://openalex.org/W1587697857","https://openalex.org/W1670558497","https://openalex.org/W1892798954","https://openalex.org/W1964723977","https://openalex.org/W1979802565","https://openalex.org/W2018406493","https://openalex.org/W2023892116","https://openalex.org/W2040505942","https://openalex.org/W2053771746","https://openalex.org/W2088369730","https://openalex.org/W2109394932","https://openalex.org/W2112052005","https://openalex.org/W2120706888","https://openalex.org/W2122231914","https://openalex.org/W2159654942","https://openalex.org/W2326955532","https://openalex.org/W2530210423","https://openalex.org/W2566287062","https://openalex.org/W2606302477","https://openalex.org/W2768939057","https://openalex.org/W2774350692","https://openalex.org/W2779265082","https://openalex.org/W2807514626","https://openalex.org/W2821393409","https://openalex.org/W2883839991","https://openalex.org/W2905154986","https://openalex.org/W2919954404","https://openalex.org/W2923036904","https://openalex.org/W2952099707","https://openalex.org/W2964744763","https://openalex.org/W2970530634","https://openalex.org/W2971967133","https://openalex.org/W2980057341","https://openalex.org/W3021789130","https://openalex.org/W3181590728","https://openalex.org/W4246841071","https://openalex.org/W4300349690","https://openalex.org/W4405125451","https://openalex.org/W6635076420","https://openalex.org/W6637353479","https://openalex.org/W6767613874"],"related_works":["https://openalex.org/W3123744736","https://openalex.org/W2137691148","https://openalex.org/W1505848319","https://openalex.org/W1525869371","https://openalex.org/W4281399881","https://openalex.org/W2049180840","https://openalex.org/W3166006430","https://openalex.org/W4281971614","https://openalex.org/W3121299875","https://openalex.org/W4214481814"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":5},{"year":2020,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}