{"id":"https://openalex.org/W4415368042","doi":"https://doi.org/10.1109/isit63088.2025.11195393","title":"Function-Based Construction of Two-Dimensional Binary Golay-ZCZ Array Pair of Length Non-Power-of-Two","display_name":"Function-Based Construction of Two-Dimensional Binary Golay-ZCZ Array Pair of Length Non-Power-of-Two","publication_year":2025,"publication_date":"2025-06-22","ids":{"openalex":"https://openalex.org/W4415368042","doi":"https://doi.org/10.1109/isit63088.2025.11195393"},"language":null,"primary_location":{"id":"doi:10.1109/isit63088.2025.11195393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195393","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 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/A5105974637","display_name":"A. Jaya Prakash","orcid":"https://orcid.org/0009-0004-6291-1106"},"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":true,"raw_author_name":"Aditya Prakash","raw_affiliation_strings":["Indian Institute of Technology Patna,Department of Mathematics,Bihar,India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Patna,Department of Mathematics,Bihar,India","institution_ids":["https://openalex.org/I132153292"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016637952","display_name":"Tzu-Chieh Kao","orcid":null},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Tzu-Chieh Kao","raw_affiliation_strings":["Institute of Computer and Communication Engineering, National Cheng Kung University,Tainan,Taiwan"],"affiliations":[{"raw_affiliation_string":"Institute of Computer and Communication Engineering, National Cheng Kung University,Tainan,Taiwan","institution_ids":["https://openalex.org/I91807558"]}]},{"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/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sudhan Majhi","raw_affiliation_strings":["Indian Institute of Science,Department of Electrical Communication Engineering,Bangalore,Karnataka,India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Science,Department of Electrical Communication Engineering,Bangalore,Karnataka,India","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049173779","display_name":"Prashant K. Srivastava","orcid":"https://orcid.org/0000-0002-4155-630X"},"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":"Prashant Kumar Srivastava","raw_affiliation_strings":["Indian Institute of Technology Patna,Department of Mathematics,Bihar,India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Patna,Department of Mathematics,Bihar,India","institution_ids":["https://openalex.org/I132153292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100771754","display_name":"Chao-Yu Chen","orcid":"https://orcid.org/0000-0002-4533-910X"},"institutions":[{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chao-Yu Chen","raw_affiliation_strings":["Institute of Computer and Communication Engineering, National Cheng Kung University,Tainan,Taiwan"],"affiliations":[{"raw_affiliation_string":"Institute of Computer and Communication Engineering, National Cheng Kung University,Tainan,Taiwan","institution_ids":["https://openalex.org/I91807558"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5105974637"],"corresponding_institution_ids":["https://openalex.org/I132153292"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.36962422,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11946","display_name":"Antenna Design and Optimization","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11946","display_name":"Antenna Design and Optimization","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10891","display_name":"Radar Systems and Signal Processing","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11383","display_name":"Advanced Antenna and Metasurface Technologies","score":0.975600004196167,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/antenna-array","display_name":"Antenna array","score":0.5544999837875366},{"id":"https://openalex.org/keywords/complementary-sequences","display_name":"Complementary sequences","score":0.538100004196167},{"id":"https://openalex.org/keywords/binary-golay-code","display_name":"Binary Golay code","score":0.5361999869346619},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4966999888420105},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.49079999327659607},{"id":"https://openalex.org/keywords/phased-array","display_name":"Phased array","score":0.47699999809265137},{"id":"https://openalex.org/keywords/array-processing","display_name":"Array processing","score":0.47279998660087585},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.4406000077724457},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.3776000142097473},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3716000020503998}],"concepts":[{"id":"https://openalex.org/C62191587","wikidata":"https://www.wikidata.org/wiki/Q4771249","display_name":"Antenna array","level":3,"score":0.5544999837875366},{"id":"https://openalex.org/C32795469","wikidata":"https://www.wikidata.org/wiki/Q5156430","display_name":"Complementary sequences","level":2,"score":0.538100004196167},{"id":"https://openalex.org/C165293857","wikidata":"https://www.wikidata.org/wiki/Q1534522","display_name":"Binary Golay code","level":2,"score":0.5361999869346619},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5314000248908997},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4966999888420105},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49559998512268066},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.49079999327659607},{"id":"https://openalex.org/C55494473","wikidata":"https://www.wikidata.org/wiki/Q727898","display_name":"Phased array","level":3,"score":0.47699999809265137},{"id":"https://openalex.org/C2778545087","wikidata":"https://www.wikidata.org/wiki/Q4795883","display_name":"Array processing","level":4,"score":0.47279998660087585},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.4406000077724457},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3776000142097473},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3716000020503998},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3531000018119812},{"id":"https://openalex.org/C24027999","wikidata":"https://www.wikidata.org/wiki/Q2176348","display_name":"Omnidirectional antenna","level":3,"score":0.33730000257492065},{"id":"https://openalex.org/C66251956","wikidata":"https://www.wikidata.org/wiki/Q7451086","display_name":"Sensor array","level":2,"score":0.33480000495910645},{"id":"https://openalex.org/C2779190172","wikidata":"https://www.wikidata.org/wiki/Q4913888","display_name":"Binary data","level":3,"score":0.32440000772476196},{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.3156999945640564},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.31520000100135803},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.31349998712539673},{"id":"https://openalex.org/C21822782","wikidata":"https://www.wikidata.org/wiki/Q131214","display_name":"Antenna (radio)","level":2,"score":0.3124000132083893},{"id":"https://openalex.org/C16686006","wikidata":"https://www.wikidata.org/wiki/Q5147263","display_name":"Collinear antenna array","level":5,"score":0.3102000057697296},{"id":"https://openalex.org/C160562895","wikidata":"https://www.wikidata.org/wiki/Q7239557","display_name":"Precoding","level":4,"score":0.30309998989105225},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29280000925064087},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.2791999876499176},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.2777000069618225},{"id":"https://openalex.org/C5806529","wikidata":"https://www.wikidata.org/wiki/Q2365325","display_name":"Orthonormal basis","level":2,"score":0.2768000066280365},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.27570000290870667},{"id":"https://openalex.org/C2776096036","wikidata":"https://www.wikidata.org/wiki/Q1140483","display_name":"Narrowband","level":2,"score":0.2750999927520752},{"id":"https://openalex.org/C2775980084","wikidata":"https://www.wikidata.org/wiki/Q4771249","display_name":"Planar array","level":2,"score":0.273499995470047},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26339998841285706},{"id":"https://openalex.org/C54940322","wikidata":"https://www.wikidata.org/wiki/Q3997740","display_name":"Orthogonal transformation","level":2,"score":0.2632000148296356},{"id":"https://openalex.org/C161218011","wikidata":"https://www.wikidata.org/wiki/Q11827794","display_name":"Multipath propagation","level":3,"score":0.2556999921798706},{"id":"https://openalex.org/C136664719","wikidata":"https://www.wikidata.org/wiki/Q4795880","display_name":"Array gain","level":4,"score":0.25119999051094055}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit63088.2025.11195393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195393","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1430285980","display_name":null,"funder_award_id":"112-2221-E-006-122-MY3","funder_id":"https://openalex.org/F2461203286","funder_display_name":"National Science and Technology Council"}],"funders":[{"id":"https://openalex.org/F2461203286","display_name":"National Science and Technology Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1544816109","https://openalex.org/W1839719574","https://openalex.org/W1977408207","https://openalex.org/W1988571824","https://openalex.org/W2006439589","https://openalex.org/W2012585113","https://openalex.org/W2019448666","https://openalex.org/W2024674802","https://openalex.org/W2038013900","https://openalex.org/W2068396170","https://openalex.org/W2097457343","https://openalex.org/W2110445459","https://openalex.org/W2117054319","https://openalex.org/W2136435457","https://openalex.org/W2146663649","https://openalex.org/W2147057512","https://openalex.org/W2151687226","https://openalex.org/W2160136043","https://openalex.org/W2171304072","https://openalex.org/W2294688254","https://openalex.org/W2805977862","https://openalex.org/W2883687818","https://openalex.org/W3002135215","https://openalex.org/W3120733571","https://openalex.org/W3123800205","https://openalex.org/W4220699843","https://openalex.org/W4225497208","https://openalex.org/W4226385847","https://openalex.org/W4317496687","https://openalex.org/W4321617537","https://openalex.org/W4362500938","https://openalex.org/W4389890920","https://openalex.org/W4390044104","https://openalex.org/W4390410922","https://openalex.org/W4390779423","https://openalex.org/W4405303330","https://openalex.org/W4408716984"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,108,131,137],"propose":[4,109],"the":[5,49,105,110,122],"construction":[6,111],"of":[7,26,48,112,151],"Golay":[8],"complementary":[9],"array":[10,24,85,146],"pairs":[11,147],"(GCAP)":[12],"with":[13,124],"zero":[14],"correlation":[15],"zone":[16],"(<tex":[17],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[18,28,35,43,52,59],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\text{Z":[19,44],"C":[20,45],"Z}$</tex>)":[21],"properties,":[22],"having":[23],"lengths":[25,126],"<tex":[27,34,42,51,58],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\left(2^{n_{1}+2},":[29,36],"10":[30,54],"\\cdot":[31,38,55,62],"2^{n_{2}-4}\\right)$</tex>":[32],"and":[33,40,57,87,141,145],"26":[37,61],"2^{n_{2}-5}\\right)$</tex>,":[39],"corresponding":[41],"Z}$</tex>":[46],"widths":[47],"forms":[50],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\left(2^{n_{1}},":[53,60],"2^{n_{2}-4}-1\\right)$</tex>":[56],"2^{n_{2}-5}-1\\right)$</tex>,":[63],"respectively.":[64],"These":[65],"flexible":[66],"Golay-ZCZ":[67,113,143],"arrays":[68,114,123],"have":[69],"potential":[70],"applications":[71],"in":[72],"multiple-input":[73],"multiple-output":[74],"(MIMO)":[75],"omnidirectional":[76],"transmission":[77],"as":[78,95,153],"precoding":[79],"matrices,":[80],"sound":[81],"source":[82],"arrays,":[83],"phased":[84],"antennas,":[86],"orthogonal":[88],"time":[89],"frequency":[90],"space":[91],"(OTFS)":[92],"communication":[93],"systems":[94],"a":[96],"two-dimensional":[97],"(2-D)":[98],"pilot":[99],"to":[100],"improve":[101],"channel":[102],"estimation.":[103],"For":[104],"first":[106],"time,":[107],"based":[115],"on":[116],"generalized":[117],"Boolean":[118],"functions":[119],"(GBFs),":[120],"constructing":[121],"non-power-oftwo":[125],"through":[127],"truncation":[128],"techniques.":[129],"Further,":[130],"show":[132],"that,":[133],"under":[134],"specific":[135],"constraints,":[136],"construct":[138],"one-dimensional":[139],"(1-D)":[140],"2-D":[142],"sequences":[144],"for":[148],"lengths,":[149],"powers":[150],"two":[152],"well.":[154]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-21T00:00:00"}
