{"id":"https://openalex.org/W2893417760","doi":"https://doi.org/10.1007/s10623-018-0553-7","title":"Constructing infinite families of low differential uniformity (n,\u00a0m)-functions with $$m&gt;n/2$$ m &gt; n / 2","display_name":"Constructing infinite families of low differential uniformity (n,\u00a0m)-functions with $$m&gt;n/2$$ m &gt; n / 2","publication_year":2018,"publication_date":"2018-09-28","ids":{"openalex":"https://openalex.org/W2893417760","doi":"https://doi.org/10.1007/s10623-018-0553-7","mag":"2893417760"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-018-0553-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-018-0553-7","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5088687711","display_name":"Claude Carlet","orcid":"https://orcid.org/0000-0002-6118-7927"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210102686","display_name":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","ror":"https://ror.org/018nzqy79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210102686","https://openalex.org/I4210141950","https://openalex.org/I48825208"]},{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]},{"id":"https://openalex.org/I48825208","display_name":"Universit\u00e9 Paris 8","ror":"https://ror.org/04wez5e68","country_code":"FR","type":"education","lineage":["https://openalex.org/I48825208"]}],"countries":["FR","NO"],"is_corresponding":false,"raw_author_name":"Claude Carlet","raw_affiliation_strings":["LAGA, UMR 7539, CNRS, University of Paris 8, 93526, Saint- Denis, France","University of Bergen, Bergen, Norway","LAGA, UMR 7539, CNRS, University of Paris 8, Saint- Denis, France"],"affiliations":[{"raw_affiliation_string":"LAGA, UMR 7539, CNRS, University of Paris 8, 93526, Saint- Denis, France","institution_ids":["https://openalex.org/I48825208","https://openalex.org/I4210102686","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"LAGA, UMR 7539, CNRS, University of Paris 8, Saint- Denis, France","institution_ids":["https://openalex.org/I48825208","https://openalex.org/I4210102686","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100329969","display_name":"Xi Chen","orcid":"https://orcid.org/0000-0002-6874-663X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]},{"id":"https://openalex.org/I4210102686","display_name":"Laboratoire Analyse, G\u00e9om\u00e9trie et Applications","ror":"https://ror.org/018nzqy79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210102686","https://openalex.org/I4210141950","https://openalex.org/I48825208"]},{"id":"https://openalex.org/I48825208","display_name":"Universit\u00e9 Paris 8","ror":"https://ror.org/04wez5e68","country_code":"FR","type":"education","lineage":["https://openalex.org/I48825208"]}],"countries":["CN","FR"],"is_corresponding":true,"raw_author_name":"Xi Chen","raw_affiliation_strings":["College of Liberal Arts and Sciences, National University of Defense Technology, Changsha, 410073, China","LAGA, UMR 7539, CNRS, University of Paris 8, 93526, Saint- Denis, France","College of Liberal Arts and Sciences, National University of Defense Technology, Changsha, China","LAGA, UMR 7539, CNRS, University of Paris 8, Saint- Denis, France"],"affiliations":[{"raw_affiliation_string":"College of Liberal Arts and Sciences, National University of Defense Technology, Changsha, 410073, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"LAGA, UMR 7539, CNRS, University of Paris 8, 93526, Saint- Denis, France","institution_ids":["https://openalex.org/I48825208","https://openalex.org/I4210102686","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"College of Liberal Arts and Sciences, National University of Defense Technology, Changsha, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"LAGA, UMR 7539, CNRS, University of Paris 8, Saint- Denis, France","institution_ids":["https://openalex.org/I48825208","https://openalex.org/I4210102686","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071414491","display_name":"Longjiang Qu","orcid":"https://orcid.org/0000-0003-3506-5501"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Longjiang Qu","raw_affiliation_strings":["College of Liberal Arts and Sciences, National University of Defense Technology, Changsha, 410073, China","College of Liberal Arts and Sciences, National University of Defense Technology, Changsha, China"],"affiliations":[{"raw_affiliation_string":"College of Liberal Arts and Sciences, National University of Defense Technology, Changsha, 410073, China","institution_ids":["https://openalex.org/I170215575"]},{"raw_affiliation_string":"College of Liberal Arts and Sciences, National University of Defense Technology, Changsha, China","institution_ids":["https://openalex.org/I170215575"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100329969"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I170215575","https://openalex.org/I4210102686","https://openalex.org/I48825208"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.1692,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6068662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"87","issue":"7","first_page":"1577","last_page":"1599"},"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9993000030517578,"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":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5878702998161316},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.526219367980957},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.526134729385376},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5065876245498657},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5026545524597168},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.48614999651908875},{"id":"https://openalex.org/keywords/block-cipher","display_name":"Block cipher","score":0.4666573703289032},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.45537269115448},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.4439968466758728},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40760141611099243},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22760343551635742},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17315888404846191},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14225620031356812},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.09722599387168884}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5878702998161316},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.526219367980957},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.526134729385376},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5065876245498657},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5026545524597168},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.48614999651908875},{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.4666573703289032},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.45537269115448},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.4439968466758728},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40760141611099243},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22760343551635742},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17315888404846191},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14225620031356812},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.09722599387168884},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10623-018-0553-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-018-0553-7","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03966896v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03966896","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Designs, Codes and Cryptography, 2019, 87 (7), pp.1577-1599. &#x27E8;10.1007/s10623-018-0553-7&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4747351986","display_name":null,"funder_award_id":"No. 201503170276","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"}],"funders":[{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W59896302","https://openalex.org/W89245623","https://openalex.org/W162464270","https://openalex.org/W338134916","https://openalex.org/W577451423","https://openalex.org/W1518029257","https://openalex.org/W1540875416","https://openalex.org/W1556212265","https://openalex.org/W1556690101","https://openalex.org/W1606480398","https://openalex.org/W1894646615","https://openalex.org/W1935580934","https://openalex.org/W1976677460","https://openalex.org/W2004502213","https://openalex.org/W2027325533","https://openalex.org/W2038924129","https://openalex.org/W2149110252","https://openalex.org/W2296263736","https://openalex.org/W2319012906","https://openalex.org/W2406197832","https://openalex.org/W2732251371","https://openalex.org/W3102307572"],"related_works":["https://openalex.org/W3161230432","https://openalex.org/W1487201914","https://openalex.org/W4367190712","https://openalex.org/W280458463","https://openalex.org/W1170131723","https://openalex.org/W4301429470","https://openalex.org/W2168900540","https://openalex.org/W2125310826","https://openalex.org/W2339723535","https://openalex.org/W2014652112"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
