{"id":"https://openalex.org/W1498892963","doi":"https://doi.org/10.1007/3-540-46416-6_32","title":"Perfect nonlinear S-boxes","display_name":"Perfect nonlinear S-boxes","publication_year":2007,"publication_date":"2007-08-06","ids":{"openalex":"https://openalex.org/W1498892963","doi":"https://doi.org/10.1007/3-540-46416-6_32","mag":"1498892963"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-46416-6_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-46416-6_32","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5061268898","display_name":"Kaisa Nyberg","orcid":"https://orcid.org/0000-0003-2885-6364"},"institutions":[{"id":"https://openalex.org/I2801260548","display_name":"Finnish Defence Forces","ror":"https://ror.org/04avm2781","country_code":"FI","type":"other","lineage":["https://openalex.org/I2801260548"]},{"id":"https://openalex.org/I133731052","display_name":"University of Helsinki","ror":"https://ror.org/040af2s02","country_code":"FI","type":"education","lineage":["https://openalex.org/I133731052"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Kaisa Nyberg","raw_affiliation_strings":["Finnish Defense Forces and University of Helsinki, Helsinki"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Finnish Defense Forces and University of Helsinki, Helsinki","institution_ids":["https://openalex.org/I2801260548","https://openalex.org/I133731052"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5061268898"],"corresponding_institution_ids":["https://openalex.org/I133731052","https://openalex.org/I2801260548"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":8.4618,"has_fulltext":false,"cited_by_count":408,"citation_normalized_percentile":{"value":0.98526631,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"378","last_page":"386"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9951000213623047,"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/s-box","display_name":"S-box","score":0.7344458699226379},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6854925155639648},{"id":"https://openalex.org/keywords/bent-function","display_name":"Bent function","score":0.6427014470100403},{"id":"https://openalex.org/keywords/cryptanalysis","display_name":"Cryptanalysis","score":0.6014735102653503},{"id":"https://openalex.org/keywords/bent-molecular-geometry","display_name":"Bent molecular geometry","score":0.5364264845848083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5274263620376587},{"id":"https://openalex.org/keywords/substitution","display_name":"Substitution (logic)","score":0.4930879771709442},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.48837727308273315},{"id":"https://openalex.org/keywords/differential-cryptanalysis","display_name":"Differential cryptanalysis","score":0.45464879274368286},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.43511539697647095},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3935450315475464},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.36905235052108765},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.36209094524383545},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.34898632764816284},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3263966143131256},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3086796700954437},{"id":"https://openalex.org/keywords/block-cipher","display_name":"Block cipher","score":0.26962563395500183},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06498485803604126},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05096349120140076},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.04411366581916809}],"concepts":[{"id":"https://openalex.org/C45737032","wikidata":"https://www.wikidata.org/wiki/Q748364","display_name":"S-box","level":4,"score":0.7344458699226379},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6854925155639648},{"id":"https://openalex.org/C84185955","wikidata":"https://www.wikidata.org/wiki/Q4890350","display_name":"Bent function","level":3,"score":0.6427014470100403},{"id":"https://openalex.org/C181149355","wikidata":"https://www.wikidata.org/wiki/Q897511","display_name":"Cryptanalysis","level":3,"score":0.6014735102653503},{"id":"https://openalex.org/C138211643","wikidata":"https://www.wikidata.org/wiki/Q675211","display_name":"Bent molecular geometry","level":2,"score":0.5364264845848083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5274263620376587},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.4930879771709442},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.48837727308273315},{"id":"https://openalex.org/C36123800","wikidata":"https://www.wikidata.org/wiki/Q1224471","display_name":"Differential cryptanalysis","level":4,"score":0.45464879274368286},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.43511539697647095},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3935450315475464},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.36905235052108765},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.36209094524383545},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.34898632764816284},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3263966143131256},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3086796700954437},{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.26962563395500183},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06498485803604126},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05096349120140076},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04411366581916809},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-46416-6_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-46416-6_32","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W39590651","https://openalex.org/W1528709073","https://openalex.org/W1542868822","https://openalex.org/W1587697857","https://openalex.org/W1629301835","https://openalex.org/W1874863607","https://openalex.org/W1954214817","https://openalex.org/W1981357736","https://openalex.org/W2004502213","https://openalex.org/W2010423080","https://openalex.org/W2032685643","https://openalex.org/W2041621301","https://openalex.org/W2081226280","https://openalex.org/W2090432705","https://openalex.org/W2148721664","https://openalex.org/W3151140615","https://openalex.org/W6640869085"],"related_works":["https://openalex.org/W1488498670","https://openalex.org/W637485159","https://openalex.org/W2750816313","https://openalex.org/W1977927882","https://openalex.org/W257150968","https://openalex.org/W2371894487","https://openalex.org/W3028718793","https://openalex.org/W2808103058","https://openalex.org/W2395115528","https://openalex.org/W2519974363"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":16},{"year":2022,"cited_by_count":20},{"year":2021,"cited_by_count":15},{"year":2020,"cited_by_count":23},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":25},{"year":2016,"cited_by_count":25},{"year":2015,"cited_by_count":21},{"year":2014,"cited_by_count":28},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":14}],"updated_date":"2026-04-29T09:16:38.111599","created_date":"2025-10-10T00:00:00"}
