{"id":"https://openalex.org/W2300471066","doi":"https://doi.org/10.3233/978-1-60750-002-5-87","title":"On the Equivalence of Nonlinear Functions","display_name":"On the Equivalence of Nonlinear Functions","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2300471066","doi":"https://doi.org/10.3233/978-1-60750-002-5-87","mag":"2300471066"},"language":"en","primary_location":{"id":"doi:10.3233/978-1-60750-002-5-87","is_oa":false,"landing_page_url":"https://doi.org/10.3233/978-1-60750-002-5-87","pdf_url":null,"source":{"id":"https://openalex.org/S4210202636","display_name":"NATO science for peace and security series. D, Information and communication security","issn_l":"1874-6268","issn":["1874-6268","1879-8292"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"NATO Science for Peace and Security Series - D: Information and Communication Security","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/A5116319824","display_name":"Edel Yves","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Edel Yves","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5058687981","display_name":"P Sviridov Alexander","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pott Alexander","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5116319824"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2895,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.61680848,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"23","issue":null,"first_page":"87","last_page":"103"},"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":0.9997000098228455,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9994000196456909,"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/equivalence","display_name":"Equivalence (formal languages)","score":0.6189799308776855},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.47259029746055603},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45015543699264526},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.332050621509552},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19074848294258118}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6189799308776855},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47259029746055603},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45015543699264526},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.332050621509552},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19074848294258118},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3233/978-1-60750-002-5-87","is_oa":false,"landing_page_url":"https://doi.org/10.3233/978-1-60750-002-5-87","pdf_url":null,"source":{"id":"https://openalex.org/S4210202636","display_name":"NATO science for peace and security series. D, Information and communication security","issn_l":"1874-6268","issn":["1874-6268","1879-8292"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"NATO Science for Peace and Security Series - D: Information and Communication Security","raw_type":"book-chapter"},{"id":"pmh:oai:archive.ugent.be:710528","is_oa":false,"landing_page_url":"http://hdl.handle.net/1854/LU-710528","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISBN: 978-1-60750-002-5","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"mag:2300471066","is_oa":false,"landing_page_url":"https://www.mathi.uni-heidelberg.de/~yves/Papers/nato08.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306463470","display_name":"IOS Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"ebook platform"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"IOS Press eBooks","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W71026260","https://openalex.org/W653969528","https://openalex.org/W770512023","https://openalex.org/W1498892963","https://openalex.org/W1566828525","https://openalex.org/W1587687098","https://openalex.org/W1593761715","https://openalex.org/W1606480398","https://openalex.org/W1629301835","https://openalex.org/W1964723977","https://openalex.org/W1965142549","https://openalex.org/W1976677460","https://openalex.org/W1977206724","https://openalex.org/W2020301329","https://openalex.org/W2021094554","https://openalex.org/W2024156986","https://openalex.org/W2024729203","https://openalex.org/W2082143349","https://openalex.org/W2097345111","https://openalex.org/W2100083939","https://openalex.org/W2105125691","https://openalex.org/W2108388086","https://openalex.org/W2154374104","https://openalex.org/W2163447078","https://openalex.org/W2403289856","https://openalex.org/W2504274129","https://openalex.org/W2611298788"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Recently,":[0],"many":[1],"new":[2],"almost":[3,8],"perfect":[4],"nonlinear":[5],"(APN)":[6],"and":[7],"bent":[9],"(AB)":[10],"functions":[11],"have":[12],"been":[13],"constructed.":[14],"These":[15],"functionsn2→n2":[16]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-03T22:45:19.894376","created_date":"2025-10-10T00:00:00"}