{"id":"https://openalex.org/W4289655434","doi":"https://doi.org/10.1109/isit50566.2022.9834570","title":"Three New Constructions of 5-valued Spectrum Functions with Totally Disjoint Spectra Duals","display_name":"Three New Constructions of 5-valued Spectrum Functions with Totally Disjoint Spectra Duals","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4289655434","doi":"https://doi.org/10.1109/isit50566.2022.9834570"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834570","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834570","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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/A5100377436","display_name":"Jiaxin Wang","orcid":"https://orcid.org/0000-0002-6893-7954"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiaxin Wang","raw_affiliation_strings":["Nankai University,Chern Institute of Mathematics and LPMC,Tianjin,China,300071"],"affiliations":[{"raw_affiliation_string":"Nankai University,Chern Institute of Mathematics and LPMC,Tianjin,China,300071","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063946169","display_name":"Fang\u2010Wei Fu","orcid":"https://orcid.org/0000-0002-9696-8977"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang-Wei Fu","raw_affiliation_strings":["Nankai University,Chern Institute of Mathematics and LPMC,Tianjin,China,300071"],"affiliations":[{"raw_affiliation_string":"Nankai University,Chern Institute of Mathematics and LPMC,Tianjin,China,300071","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100377436"],"corresponding_institution_ids":["https://openalex.org/I205237279"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06286699,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1743","last_page":"1748"},"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":0.9952999949455261,"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/T11567","display_name":"semigroups and automata theory","score":0.9707000255584717,"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/dual-polyhedron","display_name":"Dual polyhedron","score":0.8446657061576843},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7608531713485718},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.7139236927032471},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5516232848167419},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5370845198631287},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3801576495170593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35235869884490967},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24923822283744812},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07310977578163147}],"concepts":[{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.8446657061576843},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7608531713485718},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.7139236927032471},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5516232848167419},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5370845198631287},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3801576495170593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35235869884490967},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24923822283744812},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07310977578163147},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834570","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834570","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W637485159","https://openalex.org/W1822635470","https://openalex.org/W2002865028","https://openalex.org/W2026343767","https://openalex.org/W2062897622","https://openalex.org/W2090432705","https://openalex.org/W2286164450","https://openalex.org/W2612783236","https://openalex.org/W2626918801","https://openalex.org/W2792174692","https://openalex.org/W2899817151","https://openalex.org/W2963129019","https://openalex.org/W3111376706","https://openalex.org/W4205482204","https://openalex.org/W4236140721","https://openalex.org/W4287265447","https://openalex.org/W6840593985"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2536013957","https://openalex.org/W2594626304","https://openalex.org/W2090263210","https://openalex.org/W4322492640","https://openalex.org/W2012754903","https://openalex.org/W2006369463","https://openalex.org/W2949039133","https://openalex.org/W2082432022","https://openalex.org/W1553466895"],"abstract_inverted_index":{"A":[0],"function":[1,10],"$f:\\mathbb{F}_2^n":[2],"\\to":[3],"{\\mathbb{F}_2}$":[4],"is":[5],"called":[6],"a":[7,85,105],"5-valued":[8,70,109,120,155,207,222],"spectrum":[9,71,110,121,156,208,223],"if":[11],"the":[12,20,67,89,130,168,175,188,198],"Walsh":[13],"transform":[14],"W":[15],"<inf":[16,37,47],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[17,38,48],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">f</inf>":[18],"takes":[19],"values":[21],"$0,":[22],"\\pm":[23,27],"{2^{\\frac{{n":[24,28],"+":[25,29,45],"{s_1}}}{2}}},":[26],"{s_2}}}{2}}}$":[30],"for":[31],"some":[32],"different":[33],"non-negative":[34],"integers":[35],"s":[36,46],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">i</inf>":[39,49],",i":[40],"=":[41,77,95,136,165,181],"1,2":[42],"with":[43,159],"n":[44],"even.":[50],"In":[51,146],"[IEEE":[52,231],"Transactions":[53,232],"on":[54,233],"Information":[55,234],"Theory,":[56,235],"67":[57,236],"(2),":[58,237],"2021],":[59],"by":[60,201],"spectral":[61],"method,":[62],"Hod\u017ei\u0107":[63,101,202],"et":[64,102,203],"al.":[65,103],"characterized":[66],"so-called":[68],"basic":[69,98,108,128,173,213],"functions":[72,91,122,132,157,177,209,224],"f":[73,123,126,143,158,171,191],"whose":[74],"duals":[75,163],"$f_{[i]}^{\\ast}(i":[76,164],"1,2)$":[78,96,137,182],"are":[79,97,127,138,144,172,183,192,210,226],"totally":[80,160],"disjoint":[81,161],"spectra":[82,162],"functions.":[83,111],"For":[84],"special":[86],"case":[87,169,189],"that":[88,125,170,190],"corresponding":[90,131,176],"$\\overline":[92,133,178],"{f_{[i]}^{\\ast}}":[93,134,179],"(i":[94,135,180],"plateaued":[99,140,185],"functions,":[100,141,186],"gave":[104],"construction":[106],"of":[107,119,154],"They":[112],"left":[113],"open":[114],"problems":[115,199],"to":[116,197,212,228],"provide":[117,150,195],"constructions":[118,153,216],"such":[124],"and":[129,174,187],"non-basic":[139,184,206],"or":[142],"non-basic.":[145],"this":[147,218],"paper,":[148],"we":[149],"three":[151],"new":[152],"1,2)$,":[166],"including":[167],"non-basic,":[193],"which":[194,225],"answers":[196],"proposed":[200],"al..":[204],"Since":[205],"EA-inequivalent":[211,227],"ones,":[214],"two":[215],"in":[217,230],"paper":[219],"can":[220],"produce":[221],"ones":[229],"2021].":[238]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
