{"id":"https://openalex.org/W4393765423","doi":"https://doi.org/10.5281/zenodo.5821018","title":"Quadratic APN Extensions","display_name":"Quadratic APN Extensions","publication_year":2022,"publication_date":"2022-01-05","ids":{"openalex":"https://openalex.org/W4393765423","doi":"https://doi.org/10.5281/zenodo.5821018"},"language":"en","primary_location":{"id":"pmh:oai:zenodo.org:5821018","is_oa":true,"landing_page_url":"https://zenodo.org/record/5821018","pdf_url":null,"source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/other"},"type":"dataset","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://zenodo.org/record/5821018","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037504840","display_name":"Christof Beierle","orcid":"https://orcid.org/0000-0002-5558-0722"},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Beierle, Christof","raw_affiliation_strings":["Ruhr University Bochum, Bochum, Germany"],"affiliations":[{"raw_affiliation_string":"Ruhr University Bochum, Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078330300","display_name":"Gregor Leander","orcid":"https://orcid.org/0000-0002-2579-8587"},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Leander, Gregor","raw_affiliation_strings":["Ruhr University Bochum, Bochum, Germany"],"affiliations":[{"raw_affiliation_string":"Ruhr University Bochum, Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077352004","display_name":"L\u00e9o Perrin","orcid":"https://orcid.org/0000-0002-4722-7005"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Perrin, L\u00e9o","raw_affiliation_strings":["Inria, Paris, France"],"affiliations":[{"raw_affiliation_string":"Inria, Paris, France","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037504840"],"corresponding_institution_ids":["https://openalex.org/I904495901"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.6424999833106995,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.6424999833106995,"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"}},{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.585099995136261,"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"}},{"id":"https://openalex.org/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.5658000111579895,"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/quadratic-equation","display_name":"Quadratic equation","score":0.5595927834510803},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45690077543258667},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37513917684555054},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3388732075691223},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1512758433818817}],"concepts":[{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5595927834510803},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45690077543258667},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37513917684555054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3388732075691223},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1512758433818817}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:zenodo.org:5821018","is_oa":true,"landing_page_url":"https://zenodo.org/record/5821018","pdf_url":null,"source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/other"},{"id":"doi:10.5281/zenodo.5821018","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.5821018","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"dataset"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:5821018","is_oa":true,"landing_page_url":"https://zenodo.org/record/5821018","pdf_url":null,"source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/other"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","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/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"This":[0],"dataset":[1],"contains":[2,55],"the":[3,7,56,60,72,79,85,89,96,101,105,112],"look-up":[4,57],"tables":[5,58],"of":[6,30,47,59],"new":[8,62],"quadratic":[9,22,63],"APN":[10,23,49,64,74,81,91,98,107,114,123],"functions":[11,65,75,82,92,99,108,115,124],"in":[12,25,77,94,117,133],"dimension":[13,26],"eight":[14],"(up":[15],"to":[16,126],"EA-equivalence)":[17],"found":[18,66],"by":[19,67,84],"extending":[20],"a":[21],"function":[24],"seven.":[27],"A":[28],"preprint":[29],"our":[31],"paper":[32],"is":[33],"available":[34],"at":[35],"arxiv:":[36],"C.":[37],"Beierle,":[38],"G.":[39],"Leander,":[40],"and":[41,45,111],"L.":[42],"Perrin.":[43],"Trims":[44],"Extensions":[46],"Quadratic":[48],"Functions.":[50],"2021.":[51],"The":[52],"file":[53],"apn_8bit.txt":[54],"6,368":[61],"this":[68],"approach.":[69],"Together":[70],"with":[71],"23":[73],"listed":[76],"[EP09],":[78],"8,157":[80],"constructed":[83],"QAM":[86],"method":[87],"[YWL14],":[88],"10":[90],"presented":[93,116],"[WTG13],":[95],"two":[97],"from":[100,109],"Taniguchi":[102],"family":[103],"[Tan19],":[104],"12,921":[106],"[BL22],":[110],"5,412":[113],"[YP21],":[118],"those":[119],"are":[120],"all":[121],"8-bit":[122],"up":[125],"CCZ-equivalence":[127],"known":[128],"until":[129],"January":[130],"2022":[131],"(32,893":[132],"total).":[134]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-02-05T00:54:17.221276","created_date":"2025-10-10T00:00:00"}