{"id":"https://openalex.org/W3021510930","doi":"https://doi.org/10.1007/s00200-020-00431-1","title":"Boomerang uniformity of normalized permutation polynomials of low degree","display_name":"Boomerang uniformity of normalized permutation polynomials of low degree","publication_year":2020,"publication_date":"2020-04-29","ids":{"openalex":"https://openalex.org/W3021510930","doi":"https://doi.org/10.1007/s00200-020-00431-1","mag":"3021510930"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-020-00431-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-020-00431-1","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","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/A5100325732","display_name":"Wang Yan-ping","orcid":"https://orcid.org/0009-0006-9680-6085"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]},{"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","CN"],"is_corresponding":false,"raw_author_name":"Yan-Ping Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Carleton University, Ottawa, ON, K1S 5B6, Canada","State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Carleton University, Ottawa, ON, K1S 5B6, Canada","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, 710071, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100366899","display_name":"Qiang Wang","orcid":"https://orcid.org/0000-0001-5426-2776"},"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":"Qiang Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Carleton University, Ottawa, ON, K1S 5B6, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Carleton University, Ottawa, ON, K1S 5B6, Canada","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100381054","display_name":"Weiguo Zhang","orcid":"https://orcid.org/0000-0002-8393-3185"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei-Guo Zhang","raw_affiliation_strings":["State Key Laboratory of Information Security, Chinese Academy of Sciences, Beijing, 10009, China","State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, 710071, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Information Security, Chinese Academy of Sciences, Beijing, 10009, China","institution_ids":["https://openalex.org/I4210156404"]},{"raw_affiliation_string":"State Key Laboratory of Integrated Services Networks, Xidian University, Xi\u2019an, 710071, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.5416,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.72893654,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"31","issue":"3-4","first_page":"307","last_page":"322"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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"}},{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9919000267982483,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/boomerang-attack","display_name":"Boomerang attack","score":0.9090442657470703},{"id":"https://openalex.org/keywords/block-cipher","display_name":"Block cipher","score":0.8700400590896606},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.7355069518089294},{"id":"https://openalex.org/keywords/differential-cryptanalysis","display_name":"Differential cryptanalysis","score":0.7095457315444946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6493860483169556},{"id":"https://openalex.org/keywords/linear-cryptanalysis","display_name":"Linear cryptanalysis","score":0.6253129839897156},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6230996251106262},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5988900661468506},{"id":"https://openalex.org/keywords/higher-order-differential-cryptanalysis","display_name":"Higher-order differential cryptanalysis","score":0.5787239670753479},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5653664469718933},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4159041941165924},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34368669986724854},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26549965143203735},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.25907695293426514},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1268831491470337}],"concepts":[{"id":"https://openalex.org/C147552392","wikidata":"https://www.wikidata.org/wiki/Q2869899","display_name":"Boomerang attack","level":5,"score":0.9090442657470703},{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.8700400590896606},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7355069518089294},{"id":"https://openalex.org/C36123800","wikidata":"https://www.wikidata.org/wiki/Q1224471","display_name":"Differential cryptanalysis","level":4,"score":0.7095457315444946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6493860483169556},{"id":"https://openalex.org/C82424418","wikidata":"https://www.wikidata.org/wiki/Q1826463","display_name":"Linear cryptanalysis","level":4,"score":0.6253129839897156},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6230996251106262},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5988900661468506},{"id":"https://openalex.org/C151607707","wikidata":"https://www.wikidata.org/wiki/Q11673206","display_name":"Higher-order differential cryptanalysis","level":5,"score":0.5787239670753479},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5653664469718933},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4159041941165924},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34368669986724854},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26549965143203735},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.25907695293426514},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1268831491470337},{"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:10.1007/s00200-020-00431-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-020-00431-1","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W52191336","https://openalex.org/W597381772","https://openalex.org/W602346133","https://openalex.org/W1527953672","https://openalex.org/W1629301835","https://openalex.org/W1976172376","https://openalex.org/W2000094151","https://openalex.org/W2021063532","https://openalex.org/W2104939862","https://openalex.org/W2124672636","https://openalex.org/W2181873030","https://openalex.org/W2732251371","https://openalex.org/W2736709020","https://openalex.org/W2795355075","https://openalex.org/W2900658357","https://openalex.org/W2913193769","https://openalex.org/W2920427034","https://openalex.org/W3143500475","https://openalex.org/W4252241522"],"related_works":["https://openalex.org/W57168481","https://openalex.org/W4230315357","https://openalex.org/W2950215720","https://openalex.org/W2560473362","https://openalex.org/W2791274315","https://openalex.org/W3123145532","https://openalex.org/W2949235530","https://openalex.org/W3212825873","https://openalex.org/W1974690417","https://openalex.org/W1410349837"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
