{"id":"https://openalex.org/W2948981572","doi":"https://doi.org/10.1109/lsp.2019.2921256","title":"Arbitrary Length Perfect Integer Sequences Using All-Pass Polynomial","display_name":"Arbitrary Length Perfect Integer Sequences Using All-Pass Polynomial","publication_year":2019,"publication_date":"2019-06-05","ids":{"openalex":"https://openalex.org/W2948981572","doi":"https://doi.org/10.1109/lsp.2019.2921256","mag":"2948981572"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2019.2921256","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2019.2921256","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","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/A5085279585","display_name":"Soo\u2010Chang Pei","orcid":"https://orcid.org/0000-0003-2448-4196"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Soo-Chang Pei","raw_affiliation_strings":["National Taiwan University, Taipei, TW"],"affiliations":[{"raw_affiliation_string":"National Taiwan University, Taipei, TW","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054825387","display_name":"Kuo-Wei Chang","orcid":"https://orcid.org/0000-0002-5987-6862"},"institutions":[{"id":"https://openalex.org/I92172085","display_name":"Chunghwa Telecom (Taiwan)","ror":"https://ror.org/04f786589","country_code":"TW","type":"company","lineage":["https://openalex.org/I92172085"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Kuo-Wei Chang","raw_affiliation_strings":["Chunghwa Telecom Co Ltd, Taipei, TW"],"affiliations":[{"raw_affiliation_string":"Chunghwa Telecom Co Ltd, Taipei, TW","institution_ids":["https://openalex.org/I92172085"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085279585"],"corresponding_institution_ids":["https://openalex.org/I16733864"],"apc_list":null,"apc_paid":null,"fwci":0.7001,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.77508783,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"26","issue":"8","first_page":"1112","last_page":"1116"},"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":0.9998999834060669,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.998199999332428,"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/perfect-power","display_name":"Perfect power","score":0.6857028603553772},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6842734813690186},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6530030965805054},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6134889125823975},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5649303197860718},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4705662429332733},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44700080156326294},{"id":"https://openalex.org/keywords/gaussian-integer","display_name":"Gaussian integer","score":0.4437459111213684},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41308125853538513},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37093812227249146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21584782004356384},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09022662043571472}],"concepts":[{"id":"https://openalex.org/C93446932","wikidata":"https://www.wikidata.org/wiki/Q1972803","display_name":"Perfect power","level":2,"score":0.6857028603553772},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6842734813690186},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6530030965805054},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6134889125823975},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5649303197860718},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4705662429332733},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44700080156326294},{"id":"https://openalex.org/C120561534","wikidata":"https://www.wikidata.org/wiki/Q724975","display_name":"Gaussian integer","level":2,"score":0.4437459111213684},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41308125853538513},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37093812227249146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21584782004356384},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09022662043571472},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2019.2921256","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2019.2921256","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8100000023841858}],"awards":[{"id":"https://openalex.org/G5131917539","display_name":null,"funder_award_id":"MOST 107-2221-E-002-119","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"}],"funders":[{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1505761511","https://openalex.org/W1548207992","https://openalex.org/W1806232464","https://openalex.org/W1829788117","https://openalex.org/W1966711586","https://openalex.org/W1977449481","https://openalex.org/W2000329328","https://openalex.org/W2001646739","https://openalex.org/W2010909309","https://openalex.org/W2011059145","https://openalex.org/W2027669898","https://openalex.org/W2033699179","https://openalex.org/W2044842474","https://openalex.org/W2081825044","https://openalex.org/W2088866385","https://openalex.org/W2121743251","https://openalex.org/W2124526648","https://openalex.org/W2136017419","https://openalex.org/W2139035764","https://openalex.org/W2243404481","https://openalex.org/W2597177126","https://openalex.org/W2626357105","https://openalex.org/W2903081438","https://openalex.org/W4242085752","https://openalex.org/W6632654815"],"related_works":["https://openalex.org/W2953245366","https://openalex.org/W2516138189","https://openalex.org/W2000329328","https://openalex.org/W2369409824","https://openalex.org/W4306167235","https://openalex.org/W2039014814","https://openalex.org/W2140498707","https://openalex.org/W2414755644","https://openalex.org/W2799546060","https://openalex.org/W2964093280"],"abstract_inverted_index":{"A":[0],"novel":[1],"method":[2,36],"is":[3,27,37],"proposed":[4],"to":[5,29,56],"construct":[6],"arbitrary":[7],"length":[8],"perfect":[9,42,58,62],"integer":[10,44],"sequences":[11,45,59],"based":[12],"on":[13],"all-pass":[14,25],"polynomial.":[15],"It":[16],"uses":[17],"a":[18],"fact":[19],"that":[20],"associative":[21],"sequence":[22,63],"of":[23,67],"an":[24],"polynomial":[26],"guaranteed":[28],"be":[30,48,54,70],"perfect.":[31],"In":[32],"addition,":[33],"geometric":[34],"series":[35],"our":[38],"special":[39],"case.":[40],"Moreover,":[41],"Gaussian":[43],"can":[46,53,69],"also":[47],"constructed.":[49],"Furthermore,":[50],"this":[51],"approach":[52],"applied":[55],"symmetric":[57],"design.":[60],"Finally,":[61],"with":[64],"low":[65],"degree":[66],"freedom":[68],"achieved":[71],"by":[72],"the":[73],"difference":[74],"set.":[75],"Concrete":[76],"examples":[77],"are":[78],"illustrated.":[79]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}