{"id":"https://openalex.org/W4408497852","doi":"https://doi.org/10.1142/s012905412550008x","title":"The Differential Properties of Certain Permutation Polynomials over Finite Fields","display_name":"The Differential Properties of Certain Permutation Polynomials over Finite Fields","publication_year":2025,"publication_date":"2025-03-13","ids":{"openalex":"https://openalex.org/W4408497852","doi":"https://doi.org/10.1142/s012905412550008x"},"language":"en","primary_location":{"id":"doi:10.1142/s012905412550008x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s012905412550008x","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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/A5031677859","display_name":"Kirpa Garg","orcid":"https://orcid.org/0009-0003-8680-0235"},"institutions":[{"id":"https://openalex.org/I4210127441","display_name":"Indian Institute of Technology Jammu","ror":"https://ror.org/02f0vsw63","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210127441"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Kirpa Garg","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Jammu, Jammu 181221, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Jammu, Jammu 181221, India","institution_ids":["https://openalex.org/I4210127441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052349747","display_name":"Sartaj Ul Hasan","orcid":"https://orcid.org/0000-0002-7962-3221"},"institutions":[{"id":"https://openalex.org/I4210127441","display_name":"Indian Institute of Technology Jammu","ror":"https://ror.org/02f0vsw63","country_code":"IN","type":"education","lineage":["https://openalex.org/I4210127441"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Sartaj Ul Hasan","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Jammu, Jammu 181221, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Jammu, Jammu 181221, India","institution_ids":["https://openalex.org/I4210127441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021290362","display_name":"Pantelimon St\u0103nic\u0103","orcid":"https://orcid.org/0000-0002-8622-7120"},"institutions":[{"id":"https://openalex.org/I35364215","display_name":"Naval Postgraduate School","ror":"https://ror.org/033yfkj90","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I3130687028","https://openalex.org/I35364215"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pantelimon St\u0103nic\u0103","raw_affiliation_strings":["Applied Mathematics Department, Naval Postgraduate School, Monterey, CA 93943, USA"],"affiliations":[{"raw_affiliation_string":"Applied Mathematics Department, Naval Postgraduate School, Monterey, CA 93943, USA","institution_ids":["https://openalex.org/I35364215"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052349747"],"corresponding_institution_ids":["https://openalex.org/I4210127441"],"apc_list":null,"apc_paid":null,"fwci":2.8599,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.89922469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"36","issue":"08","first_page":"1243","last_page":"1275"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9965000152587891,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9965000152587891,"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/T12812","display_name":"Meromorphic and Entire Functions","score":0.9659000039100647,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9575999975204468,"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/permutation","display_name":"Permutation (music)","score":0.7091904282569885},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6836292743682861},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6480001211166382},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.610620379447937},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38848254084587097},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36935150623321533},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36327996850013733},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3351321518421173},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1023072898387909}],"concepts":[{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7091904282569885},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6836292743682861},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6480001211166382},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.610620379447937},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38848254084587097},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36935150623321533},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36327996850013733},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3351321518421173},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1023072898387909},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s012905412550008x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s012905412550008x","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1786245667","https://openalex.org/W1965411348","https://openalex.org/W2038924129","https://openalex.org/W2048316651","https://openalex.org/W2082337615","https://openalex.org/W2098933212","https://openalex.org/W2130961661","https://openalex.org/W2345663468","https://openalex.org/W2552608129","https://openalex.org/W2768563939","https://openalex.org/W2793349312","https://openalex.org/W2913879733","https://openalex.org/W3004692333","https://openalex.org/W3026183805","https://openalex.org/W3096963836","https://openalex.org/W3140683047","https://openalex.org/W3147445255","https://openalex.org/W3161094753","https://openalex.org/W3186058725","https://openalex.org/W3193178764","https://openalex.org/W3208704455","https://openalex.org/W4295023692","https://openalex.org/W4295065764","https://openalex.org/W4313399425","https://openalex.org/W4365506039","https://openalex.org/W4365506108","https://openalex.org/W4386097723","https://openalex.org/W4389505770","https://openalex.org/W4406084380"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2594778474","https://openalex.org/W2893614166","https://openalex.org/W2003769335","https://openalex.org/W2944183083","https://openalex.org/W3104453097","https://openalex.org/W2949607517","https://openalex.org/W3028761860","https://openalex.org/W2412284786","https://openalex.org/W2964302506"],"abstract_inverted_index":{"Finding":[0],"functions,":[1],"particularly":[2],"permutations,":[3],"with":[4,101,155],"good":[5],"differential":[6],"properties":[7],"has":[8],"received":[9],"a":[10,25,51,63,117,135,150],"lot":[11],"of":[12,27,99,110,113,124,130,144,152,162,196],"attention":[13],"due":[14],"to":[15,61,127],"their":[16],"varied":[17],"applications.":[18],"For":[19],"instance,":[20],"in":[21,34,50,96,181],"combinatorial":[22],"design":[23],"theory,":[24],"correspondence":[26],"perfect":[28,138],"c-nonlinear":[29,139],"functions":[30,100,131,140],"and":[31,71,190],"difference":[32],"sets":[33],"some":[35,111],"quasigroups":[36],"was":[37,78],"recently":[38],"shown":[39],"by":[40,54],"Anbar":[41],"et":[42,56],"al.":[43,57],"(J.":[44],"Comb.":[45],"Des.":[46],"31(12):1\u201324,":[47],"2023).":[48],"Additionally,":[49],"recent":[52],"manuscript":[53],"Pal":[55],"(Adv.":[58],"Math.":[59],"Communications,":[60],"appear),":[62],"very":[64],"interesting":[65],"connection":[66],"between":[67],"the":[68,85,97,107,128,160,169],"c-differential":[69,103,108,157],"uniformity":[70,109,158],"boomerang":[72],"uniformity,":[73],"when":[74],"[Formula:":[75,164],"see":[76,165],"text],":[77],"pointed":[79],"out,":[80],"showing":[81],"that":[82,132,193],"they":[83],"are":[84],"same":[86],"for":[87],"an":[88,197],"odd":[89],"APN":[90],"permutation,":[91],"sparking":[92],"yet":[93],"more":[94,122],"interest":[95],"construction":[98],"low":[102,156],"uniformity.":[104],"We":[105],"investigate":[106],"classes":[112,123],"permutation":[114,125,153],"polynomials.":[115],"As":[116],"result,":[118],"we":[119,148,175,183],"add":[120],"four":[121],"polynomials":[126,154],"family":[129],"only":[133],"contains":[134],"few":[136],"(non-trivial)":[137],"over":[141,159,172],"finite":[142,173],"fields":[143],"even":[145],"characteristic.":[146],"Moreover,":[147],"include":[149],"class":[151],"field":[161],"characteristic":[163],"text].":[166],"To":[167],"solve":[168],"involved":[170],"equations":[171],"fields,":[174],"use":[176],"various":[177],"number":[178],"theoretical":[179],"techniques,":[180],"particular,":[182],"find":[184],"explicitly":[185],"many":[186],"Walsh":[187],"transform":[188],"coefficients":[189],"Weil":[191],"sums":[192],"may":[194],"be":[195],"independent":[198],"interest.":[199]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}
