{"id":"https://openalex.org/W2054115738","doi":"https://doi.org/10.1109/tit.1968.1054219","title":"Synthesis of cyclically orthogonal binary sequences of the same least period","display_name":"Synthesis of cyclically orthogonal binary sequences of the same least period","publication_year":1968,"publication_date":"1968-09-01","ids":{"openalex":"https://openalex.org/W2054115738","doi":"https://doi.org/10.1109/tit.1968.1054219","mag":"2054115738"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1968.1054219","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054219","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Transactions on Information Theory","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/A5011992136","display_name":"Domenick Calabro","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"D. Calabro","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5022696564","display_name":"J. Paolillo","orcid":null},"institutions":[{"id":"https://openalex.org/I1309849503","display_name":"RAND Corporation","ror":"https://ror.org/00f2z7n96","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1309849503"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Paolillo","raw_affiliation_strings":["Sperry Gyroscope Division, Sperry Rand Corporation, Great Neck, NY, USA"],"affiliations":[{"raw_affiliation_string":"Sperry Gyroscope Division, Sperry Rand Corporation, Great Neck, NY, USA","institution_ids":["https://openalex.org/I1309849503"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011992136"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.11734952,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"5","first_page":"756","last_page":"759"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9502999782562256,"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/T10069","display_name":"Antenna Design and Analysis","score":0.9455000162124634,"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/binary-number","display_name":"Binary number","score":0.7903132438659668},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6573085784912109},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6401355266571045},{"id":"https://openalex.org/keywords/period","display_name":"Period (music)","score":0.6058434247970581},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.5553523302078247},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5070738792419434},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4330228865146637},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36458003520965576},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2909507751464844},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.17232930660247803},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10852593183517456}],"concepts":[{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.7903132438659668},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6573085784912109},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6401355266571045},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.6058434247970581},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.5553523302078247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5070738792419434},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4330228865146637},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36458003520965576},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2909507751464844},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.17232930660247803},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10852593183517456},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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":1,"locations":[{"id":"doi:10.1109/tit.1968.1054219","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054219","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4000000059604645,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1627614975","https://openalex.org/W1972209559","https://openalex.org/W2034655324","https://openalex.org/W2142665895"],"related_works":["https://openalex.org/W4298824844","https://openalex.org/W2134880816","https://openalex.org/W2111298487","https://openalex.org/W4308157887","https://openalex.org/W2055498716","https://openalex.org/W2279238589","https://openalex.org/W4386075138","https://openalex.org/W1984130439","https://openalex.org/W3016499519","https://openalex.org/W73535186"],"abstract_inverted_index":{"The":[0,50],"generation":[1],"of":[2,7,20,25,52,62,66,79,85],"cyclically":[3,21,81],"orthogonal":[4,22,82],"binary":[5,23,83],"codes":[6,54,61],"the":[8,58,67,75,86],"same":[9,87],"least":[10,28,88],"period":[11,29,89],"is":[12,55],"discussed.":[13],"It":[14],"will":[15],"be":[16,36],"shown":[17],"that":[18],"pairs":[19],"sequences":[24,84],"length":[26,65],"and":[27,44],"<tex":[30,41],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[31,42],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N":[32],"=":[33],"2^{k}r</tex>":[34],"can":[35],"synthesized":[37],"for":[38],"all":[39],"integers":[40],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k</tex>":[43],"any":[45,63],"nonprime":[46],"odd":[47],"integer":[48],"r.":[49],"structure":[51],"these":[53],"self-evident":[56],"from":[57],"synthesis;":[59],"hence,":[60],"given":[64],"indicated":[68],"form":[69],"are":[70,90],"readily":[71],"obtained.":[72],"Bounds":[73],"on":[74],"maximum":[76],"possible":[77],"number":[78],"mutually":[80],"also":[91],"presented.":[92]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}