{"id":"https://openalex.org/W1776788878","doi":"https://doi.org/10.1007/3-540-47555-9_8","title":"On the construction of highly nonlinear permutations","display_name":"On the construction of highly nonlinear permutations","publication_year":2007,"publication_date":"2007-08-08","ids":{"openalex":"https://openalex.org/W1776788878","doi":"https://doi.org/10.1007/3-540-47555-9_8","mag":"1776788878"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-47555-9_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-47555-9_8","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 Defence Forces, University of Helsinki, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Finnish Defence Forces, University of Helsinki, Finland","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":2.973,"has_fulltext":false,"cited_by_count":132,"citation_normalized_percentile":{"value":0.92539195,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"92","last_page":"98"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"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":0.9980999827384949,"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/block-cipher","display_name":"Block cipher","score":0.7338634729385376},{"id":"https://openalex.org/keywords/substitution","display_name":"Substitution (logic)","score":0.6072522401809692},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.5919204354286194},{"id":"https://openalex.org/keywords/s-box","display_name":"S-box","score":0.5909608602523804},{"id":"https://openalex.org/keywords/stream-cipher","display_name":"Stream cipher","score":0.5539061427116394},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5232714414596558},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5143836140632629},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5122917890548706},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.46542638540267944},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4594176411628723},{"id":"https://openalex.org/keywords/security-of-cryptographic-hash-functions","display_name":"Security of cryptographic hash functions","score":0.43412554264068604},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4156818091869354},{"id":"https://openalex.org/keywords/cryptographic-primitive","display_name":"Cryptographic primitive","score":0.3894007205963135},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35560160875320435},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31088191270828247},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20735669136047363},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18823349475860596},{"id":"https://openalex.org/keywords/cryptographic-protocol","display_name":"Cryptographic protocol","score":0.13902175426483154},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.10339975357055664},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09222593903541565},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07615959644317627},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.055529505014419556}],"concepts":[{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.7338634729385376},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.6072522401809692},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.5919204354286194},{"id":"https://openalex.org/C45737032","wikidata":"https://www.wikidata.org/wiki/Q748364","display_name":"S-box","level":4,"score":0.5909608602523804},{"id":"https://openalex.org/C92950451","wikidata":"https://www.wikidata.org/wiki/Q864718","display_name":"Stream cipher","level":3,"score":0.5539061427116394},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5232714414596558},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5143836140632629},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5122917890548706},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.46542638540267944},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4594176411628723},{"id":"https://openalex.org/C165511393","wikidata":"https://www.wikidata.org/wiki/Q7252276","display_name":"Security of cryptographic hash functions","level":5,"score":0.43412554264068604},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4156818091869354},{"id":"https://openalex.org/C15927051","wikidata":"https://www.wikidata.org/wiki/Q246593","display_name":"Cryptographic primitive","level":4,"score":0.3894007205963135},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35560160875320435},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31088191270828247},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20735669136047363},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18823349475860596},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.13902175426483154},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.10339975357055664},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09222593903541565},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07615959644317627},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.055529505014419556}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-47555-9_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-47555-9_8","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":[{"display_name":"Sustainable cities and communities","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1568587963","https://openalex.org/W1874863607","https://openalex.org/W2062897622","https://openalex.org/W2330548796","https://openalex.org/W3151140615","https://openalex.org/W6628614173"],"related_works":["https://openalex.org/W2986543571","https://openalex.org/W1985115047","https://openalex.org/W2919954404","https://openalex.org/W2955579865","https://openalex.org/W2534971686","https://openalex.org/W2387168119","https://openalex.org/W2321159322","https://openalex.org/W2786303832","https://openalex.org/W3159283027","https://openalex.org/W3038776048"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
