{"id":"https://openalex.org/W3173948062","doi":"https://doi.org/10.1109/lsp.2021.3091886","title":"Pseudo-Boolean Functions for Optimal Z-Complementary Code Sets With Flexible Lengths","display_name":"Pseudo-Boolean Functions for Optimal Z-Complementary Code Sets With Flexible Lengths","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3173948062","doi":"https://doi.org/10.1109/lsp.2021.3091886","mag":"3173948062"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2021.3091886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2021.3091886","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/A5102937407","display_name":"Palash Sarkar","orcid":"https://orcid.org/0000-0002-6205-9791"},"institutions":[{"id":"https://openalex.org/I132153292","display_name":"Indian Institute of Technology Patna","ror":"https://ror.org/01ft5vz71","country_code":"IN","type":"education","lineage":["https://openalex.org/I132153292"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Palash Sarkar","raw_affiliation_strings":["Department of EE, IIT, Patna, Bihar, India"],"raw_orcid":"https://orcid.org/0000-0002-6205-9791","affiliations":[{"raw_affiliation_string":"Department of EE, IIT, Patna, Bihar, India","institution_ids":["https://openalex.org/I132153292"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069214588","display_name":"Sudhan Majhi","orcid":"https://orcid.org/0000-0002-2142-1862"},"institutions":[{"id":"https://openalex.org/I132153292","display_name":"Indian Institute of Technology Patna","ror":"https://ror.org/01ft5vz71","country_code":"IN","type":"education","lineage":["https://openalex.org/I132153292"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sudhan Majhi","raw_affiliation_strings":["Department of EE, IIT, Patna, Bihar, India"],"raw_orcid":"https://orcid.org/0000-0002-2142-1862","affiliations":[{"raw_affiliation_string":"Department of EE, IIT, Patna, Bihar, India","institution_ids":["https://openalex.org/I132153292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100629531","display_name":"Zilong Liu","orcid":"https://orcid.org/0000-0002-5851-4261"},"institutions":[{"id":"https://openalex.org/I110002522","display_name":"University of Essex","ror":"https://ror.org/02nkf1q06","country_code":"GB","type":"education","lineage":["https://openalex.org/I110002522"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Zilong Liu","raw_affiliation_strings":["School of CSEE, University of Essex, Colchester, U.K"],"raw_orcid":"https://orcid.org/0000-0002-5851-4261","affiliations":[{"raw_affiliation_string":"School of CSEE, University of Essex, Colchester, U.K","institution_ids":["https://openalex.org/I110002522"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1636,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.87717971,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"28","issue":null,"first_page":"1350","last_page":"1354"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11873","display_name":"PAPR reduction in OFDM","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"}},"topics":[{"id":"https://openalex.org/T11873","display_name":"PAPR reduction in OFDM","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":0.9994000196456909,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/boolean-function","display_name":"Boolean function","score":0.7824499011039734},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6587241291999817},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5991326570510864},{"id":"https://openalex.org/keywords/code-division-multiple-access","display_name":"Code division multiple access","score":0.5729570388793945},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5176523327827454},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.5175425410270691},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5104214549064636},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5050409436225891},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.48378321528434753},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46046799421310425},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4420175552368164},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.42568498849868774},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.4111519753932953},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3949160873889923},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37764960527420044},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37017160654067993},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.18579250574111938}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.7824499011039734},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6587241291999817},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5991326570510864},{"id":"https://openalex.org/C47696715","wikidata":"https://www.wikidata.org/wiki/Q233394","display_name":"Code division multiple access","level":2,"score":0.5729570388793945},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5176523327827454},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.5175425410270691},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5104214549064636},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5050409436225891},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.48378321528434753},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46046799421310425},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4420175552368164},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.42568498849868774},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.4111519753932953},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3949160873889923},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37764960527420044},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37017160654067993},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.18579250574111938},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lsp.2021.3091886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2021.3091886","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"},{"id":"pmh:oai:repository.essex.ac.uk:30469","is_oa":false,"landing_page_url":"https://doi.org/10.1109/LSP.2021.3091886","pdf_url":null,"source":{"id":"https://openalex.org/S4306401236","display_name":"Open Access at Essex (University of Essex)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I110002522","host_organization_name":"University of Essex","host_organization_lineage":["https://openalex.org/I110002522"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320325255","display_name":"Ministry of Electronics and Information technology","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1992905402","https://openalex.org/W1992933157","https://openalex.org/W2014105133","https://openalex.org/W2057419313","https://openalex.org/W2086837984","https://openalex.org/W2093812839","https://openalex.org/W2096668050","https://openalex.org/W2100861635","https://openalex.org/W2112141355","https://openalex.org/W2119751792","https://openalex.org/W2136435457","https://openalex.org/W2140992033","https://openalex.org/W2153018218","https://openalex.org/W2160136043","https://openalex.org/W2175356335","https://openalex.org/W2294688254","https://openalex.org/W2504855616","https://openalex.org/W2611067710","https://openalex.org/W2774598712","https://openalex.org/W2811164004","https://openalex.org/W2885445075","https://openalex.org/W2902509606","https://openalex.org/W2962499320","https://openalex.org/W2975746078","https://openalex.org/W2996860760","https://openalex.org/W3010898901","https://openalex.org/W3017051102","https://openalex.org/W3040640479","https://openalex.org/W3084153433","https://openalex.org/W3092646335","https://openalex.org/W3117335726","https://openalex.org/W3142547265","https://openalex.org/W4230591943","https://openalex.org/W6680748396"],"related_works":["https://openalex.org/W2516690985","https://openalex.org/W2728195892","https://openalex.org/W2055594799","https://openalex.org/W2611822924","https://openalex.org/W1991822629","https://openalex.org/W2063425181","https://openalex.org/W4248224315","https://openalex.org/W2106622045","https://openalex.org/W2062972911","https://openalex.org/W3029381898"],"abstract_inverted_index":{"This":[0],"paper":[1],"aims":[2],"to":[3,14,42,72],"construct":[4],"optimal":[5,86],"Z-complementary":[6],"code":[7],"set":[8,44],"(ZCCS)":[9],"with":[10,26,40,88],"non-power-of-two":[11],"(NPT)":[12],"lengths":[13],"enable":[15],"interference-free":[16],"multicarrier":[17],"code-division":[18],"multiple":[19],"access":[20],"(MC-CDMA)":[21],"systems.":[22],"The":[23],"existing":[24],"ZCCSs":[25,87],"NPT":[27,89],"lengths,":[28],"which":[29,65],"are":[30,37],"constructed":[31],"from":[32],"generalized":[33],"Boolean":[34],"functions":[35,61],"(GBFs),":[36],"sub-optimal":[38],"only":[39],"respect":[41],"the":[43,49,53,57],"size":[45],"upper":[46],"bound.":[47],"For":[48],"first":[50],"time":[51],"in":[52],"literature,":[54],"we":[55],"advocate":[56],"use":[58],"of":[59,64,69,80,85],"pseudo-Boolean":[60],"(PBFs)":[62],"(each":[63],"transforms":[66],"a":[67,73,77],"number":[68,75],"binary":[70],"variables":[71],"real":[74],"as":[76],"natural":[78],"generalization":[79],"GBF)":[81],"for":[82],"direct":[83],"constructions":[84],"lengths.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
