{"id":"https://openalex.org/W2167266508","doi":"https://doi.org/10.1109/itwitwn.2007.4318037","title":"Multidimensional Walsh Transform and a Characterization of Bent Functions","display_name":"Multidimensional Walsh Transform and a Characterization of Bent Functions","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2167266508","doi":"https://doi.org/10.1109/itwitwn.2007.4318037","mag":"2167266508"},"language":"en","primary_location":{"id":"doi:10.1109/itwitwn.2007.4318037","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itwitwn.2007.4318037","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Information Theory Workshop on Information Theory for Wireless Networks","raw_type":"proceedings-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/A5061268898","display_name":"Kaisa Nyberg","orcid":"https://orcid.org/0000-0003-2885-6364"},"institutions":[{"id":"https://openalex.org/I2738502077","display_name":"Nokia (Finland)","ror":"https://ror.org/04pkc8m17","country_code":"FI","type":"company","lineage":["https://openalex.org/I2738502077"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Kaisa Nyberg","raw_affiliation_strings":["Nokia Research Center, Helsinki University of Technology, Finland"],"affiliations":[{"raw_affiliation_string":"Nokia Research Center, Helsinki University of Technology, Finland","institution_ids":["https://openalex.org/I2738502077"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078438137","display_name":"Miia Hermelin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Miia Hermelin","raw_affiliation_strings":["Helsinki University of Technology, Finland"],"affiliations":[{"raw_affiliation_string":"Helsinki University of Technology, Finland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061268898"],"corresponding_institution_ids":["https://openalex.org/I2738502077"],"apc_list":null,"apc_paid":null,"fwci":1.9345,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.8897019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9926000237464905,"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":0.9926000237464905,"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/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9822999835014343,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9757999777793884,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bent-molecular-geometry","display_name":"Bent molecular geometry","score":0.6548837423324585},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6541945338249207},{"id":"https://openalex.org/keywords/walsh-function","display_name":"Walsh function","score":0.5728480815887451},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5218328833580017},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36161088943481445},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17065832018852234},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12708359956741333},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.11710500717163086},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.10390621423721313}],"concepts":[{"id":"https://openalex.org/C138211643","wikidata":"https://www.wikidata.org/wiki/Q675211","display_name":"Bent molecular geometry","level":2,"score":0.6548837423324585},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6541945338249207},{"id":"https://openalex.org/C164319782","wikidata":"https://www.wikidata.org/wiki/Q1934233","display_name":"Walsh function","level":2,"score":0.5728480815887451},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5218328833580017},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36161088943481445},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17065832018852234},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12708359956741333},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.11710500717163086},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.10390621423721313}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/itwitwn.2007.4318037","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itwitwn.2007.4318037","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Information Theory Workshop on Information Theory for Wireless Networks","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.148.7265","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.148.7265","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tcs.hut.fi/Publications/knyberg/itw07.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W131419352","https://openalex.org/W1498892963","https://openalex.org/W1906499095","https://openalex.org/W1982338917","https://openalex.org/W2016744051","https://openalex.org/W2090432705","https://openalex.org/W6605369284"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2335716720","https://openalex.org/W2071445534","https://openalex.org/W2329706164","https://openalex.org/W2949764448","https://openalex.org/W4297068499","https://openalex.org/W4255845461","https://openalex.org/W2391219220","https://openalex.org/W4396681236"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,11],"multidimensional":[4],"Walsh":[5],"transform":[6],"is":[7],"used":[8],"to":[9],"obtain":[10],"characterization":[12],"of":[13,19,23,26],"vector-valued":[14],"bent":[15],"function":[16,28],"in":[17],"terms":[18],"the":[20,24,27],"value":[21],"distributions":[22],"translates":[25],"by":[29],"linear":[30],"functions.":[31]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}