{"id":"https://openalex.org/W2514510779","doi":"https://doi.org/10.1109/lsp.2016.2600586","title":"Optimal Binary Periodic Almost-Complementary Pairs","display_name":"Optimal Binary Periodic Almost-Complementary Pairs","publication_year":2016,"publication_date":"2016-08-16","ids":{"openalex":"https://openalex.org/W2514510779","doi":"https://doi.org/10.1109/lsp.2016.2600586","mag":"2514510779"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2016.2600586","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2016.2600586","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/A5088857444","display_name":"Avik Ranjan Adhikary","orcid":"https://orcid.org/0000-0002-8981-6027"},"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"]},{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["IN","SG"],"is_corresponding":true,"raw_author_name":"Avik Ranjan Adhikary","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Patna, Patna, India","School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","Department of Mathematics, Indian Institute of Technology Patna, Patna, India; School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Patna, Patna, India","institution_ids":["https://openalex.org/I132153292"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Patna, Patna, India; School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I132153292","https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100629531","display_name":"Zilong Liu","orcid":"https://orcid.org/0000-0002-5851-4261"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Zilong Liu","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","School of Electrical and Electronic Engineering, Nanyang Technological university,Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological university,Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100763983","display_name":"Yong Liang Guan","orcid":"https://orcid.org/0000-0002-9757-630X"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Yong Liang Guan","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","School of Electrical and Electronic Engineering, Nanyang Technological university,Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological university,Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"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 Mathematics, Indian Institute of Technology Patna, Patna, India","[Department of Mathematics, Indian Institute of Technology, Patna, Patna, India]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Patna, Patna, India","institution_ids":["https://openalex.org/I132153292"]},{"raw_affiliation_string":"[Department of Mathematics, Indian Institute of Technology, Patna, Patna, India]","institution_ids":["https://openalex.org/I132153292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022929458","display_name":"Srdjan Z. Budishin","orcid":null},"institutions":[{"id":"https://openalex.org/I2801863878","display_name":"RT-RK Institute for Computer Based Systems (Serbia)","ror":"https://ror.org/02vm8jd66","country_code":"RS","type":"company","lineage":["https://openalex.org/I2801863878"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Srdjan Z. Budishin","raw_affiliation_strings":["RT-RK, Novi Sad, Serbia"],"affiliations":[{"raw_affiliation_string":"RT-RK, Novi Sad, Serbia","institution_ids":["https://openalex.org/I2801863878"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5088857444"],"corresponding_institution_ids":["https://openalex.org/I132153292","https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":2.0268,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.88170553,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"23","issue":"12","first_page":"1816","last_page":"1820"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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"}},{"id":"https://openalex.org/T11873","display_name":"PAPR reduction in OFDM","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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/autocorrelation","display_name":"Autocorrelation","score":0.7967588901519775},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6711333990097046},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6566283702850342},{"id":"https://openalex.org/keywords/complementary-sequences","display_name":"Complementary sequences","score":0.6154215335845947},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5882080793380737},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5726028084754944},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.55621337890625},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.46842658519744873},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37022316455841064},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19983115792274475},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16193845868110657},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1260470747947693}],"concepts":[{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.7967588901519775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6711333990097046},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6566283702850342},{"id":"https://openalex.org/C32795469","wikidata":"https://www.wikidata.org/wiki/Q5156430","display_name":"Complementary sequences","level":2,"score":0.6154215335845947},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5882080793380737},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5726028084754944},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.55621337890625},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.46842658519744873},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37022316455841064},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19983115792274475},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16193845868110657},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1260470747947693},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lsp.2016.2600586","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2016.2600586","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320741","display_name":"DSO National Laboratories - Singapore","ror":"https://ror.org/03e05fb06"},{"id":"https://openalex.org/F4320323670","display_name":"Department of Science and Technology, Government of Kerala","ror":"https://ror.org/030fy4q75"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1545693521","https://openalex.org/W1965850177","https://openalex.org/W1985833770","https://openalex.org/W1992933157","https://openalex.org/W1993293547","https://openalex.org/W2006138621","https://openalex.org/W2014105133","https://openalex.org/W2016651583","https://openalex.org/W2068402658","https://openalex.org/W2103042998","https://openalex.org/W2103462022","https://openalex.org/W2111471727","https://openalex.org/W2115547823","https://openalex.org/W2149469612","https://openalex.org/W2153018218","https://openalex.org/W2281363849","https://openalex.org/W2294688254","https://openalex.org/W4236804519","https://openalex.org/W4254448470"],"related_works":["https://openalex.org/W2120285461","https://openalex.org/W2972621326","https://openalex.org/W2186816027","https://openalex.org/W1973621173","https://openalex.org/W334940542","https://openalex.org/W2093311925","https://openalex.org/W2139274836","https://openalex.org/W2109441270","https://openalex.org/W2141884523","https://openalex.org/W2400518197"],"abstract_inverted_index":{"A":[0,107],"pair":[1,9],"of":[2,15,32,49,57,73,82,97,105,109,137],"sequences":[3,18],"is":[4],"called":[5],"a":[6],"periodic":[7,13,38,64],"complementary":[8],"(PCP)":[10],"if":[11],"the":[12,16,30,70,76,94,129],"autocorrelations":[14],"constituent":[17],"sum":[19],"up":[20],"to":[21,29,47,133],"zero":[22,62],"for":[23,88,128],"all":[24,93],"nonzero":[25],"time":[26,71],"shifts.":[27],"Owing":[28],"scarcity":[31],"PCPs,":[33],"we":[34],"investigate":[35],"optimal":[36,55,99,110,126],"binary":[37],"almost-complementary":[39],"pairs":[40],"(BP-ACPs),":[41],"each":[42],"displaying":[43],"correlation":[44],"property":[45],"closest":[46],"that":[48,53,87],"PCP.":[50],"We":[51,84],"show":[52,86],"an":[54,98],"BP-ACP":[56,100],"even":[58],"length":[59],"N":[60],"has":[61,79],"out-of-phase":[63,95],"autocorrelation":[65],"sums":[66],"(PACSs)":[67],"except":[68],"at":[69],"shift":[72],"N/2,":[74],"where":[75],"corresponding":[77],"PACS":[78],"minimum":[80],"magnitude":[81,104],"4.":[83],"also":[85],"any":[89],"arbitrary":[90],"odd":[91],"N,":[92],"PACSs":[96],"should":[101],"have":[102],"identical":[103],"2.":[106],"number":[108],"BP-ACPs":[111,127],"from":[112],"analytical":[113],"constructions":[114],"as":[115,117],"well":[116],"computer":[118],"search":[119],"are":[120],"presented.":[121],"In":[122],"addition,":[123],"our":[124],"proposed":[125],"even-length":[130],"case":[131],"lead":[132],"two":[134],"new":[135],"families":[136],"base-two":[138],"almost":[139],"difference":[140],"families.":[141]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
