{"id":"https://openalex.org/W2061456214","doi":"https://doi.org/10.1109/tit.1964.1053704","title":"On synchronizable and PSK-synchronizable block codes","display_name":"On synchronizable and PSK-synchronizable block codes","publication_year":1964,"publication_date":"1964-10-01","ids":{"openalex":"https://openalex.org/W2061456214","doi":"https://doi.org/10.1109/tit.1964.1053704","mag":"2061456214"},"language":"es","primary_location":{"id":"doi:10.1109/tit.1964.1053704","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1964.1053704","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/A5062433717","display_name":"Willard L. Eastman","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":"W. Eastman","raw_affiliation_strings":["Soerrv Rand Research Center, Sudbury, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Soerrv Rand Research Center, Sudbury, MA, USA","institution_ids":["https://openalex.org/I1309849503"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113452526","display_name":"Shimon Even","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":"S. Even","raw_affiliation_strings":["Soerrv Rand Research Center, Sudbury, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Soerrv Rand Research Center, Sudbury, MA, USA","institution_ids":["https://openalex.org/I1309849503"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1309849503"],"apc_list":null,"apc_paid":null,"fwci":3.8035,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.94388686,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"10","issue":"4","first_page":"351","last_page":"356"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9966999888420105,"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/T12029","display_name":"DNA and Biological Computing","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5479549765586853},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5145142078399658},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.3590046167373657},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3412827253341675},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3270891308784485},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2093448042869568}],"concepts":[{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5479549765586853},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5145142078399658},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.3590046167373657},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3412827253341675},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3270891308784485},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2093448042869568},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1964.1053704","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1964.1053704","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1576864557","https://openalex.org/W1972209559","https://openalex.org/W2027875058","https://openalex.org/W2034655324","https://openalex.org/W2100779054","https://openalex.org/W2126711987","https://openalex.org/W2127272909","https://openalex.org/W2163134468","https://openalex.org/W2323136735","https://openalex.org/W2995533735","https://openalex.org/W3145898342","https://openalex.org/W4285719527","https://openalex.org/W6771714006"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857"],"abstract_inverted_index":{"A":[0],"(finite)":[1],"code":[2,45,69],"is":[3,49,58,91,99,115,134,176,185,222,250],"called":[4],"synchronizable":[5,67,142],"of":[6,29,36,44,61,64,120,137,140,235,240],"<tex":[7,22,32,70,80,94,123,129,170,186,212,217,225,244,253],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[8,23,33,71,81,95,124,130,171,187,213,218,226,245,254],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">M</tex>":[9,24,34],"th":[10],"order":[11],"if,":[12,15],"and":[13,84,112,216],"only":[14],"there":[16],"exists":[17],"a":[18,42,59,62,66,76,85,135,138],"least":[19],"positive":[20],"integer":[21],"such":[25],"that":[26,93,104],"the":[27,30,53,102,118,145,148,155,158,168,179,183,209,233],"knowledge":[28],"last":[31],"letters":[35,83,149,162,204],"any":[37],"message":[38],"suffices":[39],"to":[40,207],"determine":[41],"separation":[43],"words.":[46],"This":[47,229],"condition":[48],"less":[50],"constraining":[51],"than":[52],"comma-free":[54],"restriction.":[55],"Sections":[56,132],"I-IV":[57],"description":[60,136],"way":[63],"selecting":[65],"block":[68],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">C_{\\sigma":[72,96,125,255],",":[73,97,126,174,194,198,247,256],"n}</tex>":[74,98,127,248,257],"for":[75,117],"given":[77,86,116],"alphabet":[78],"with":[79],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\\delta</tex>":[82,214,227],"code-word":[87],"length":[88],"n.":[89],"It":[90],"proved":[92],"maximal":[100],"in":[101,122,182,232],"sense":[103],"it":[105],"contains":[106],"as":[107,110],"many":[108],"words":[109,121],"possible;":[111],"an":[113],"expression":[114],"number":[119],".":[128,202,228,258],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">^{1}</tex>":[131],"V-VIII":[133],"construction":[139,239],"phase-shift-keying":[141],"codes.":[143],"In":[144],"PSK":[146],"case":[147],"themselves":[150],"cannot":[151],"be":[152,164,208],"identified":[153],"by":[154],"receiver.":[156],"Only":[157],"differences":[159],"between":[160],"successive":[161],"can":[163],"detected.":[165],"Thus,":[166],"if":[167],"sequence":[169,181],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">X_{1},X_{2},":[172],"\\cdots":[173,193,197],"X_{l}</tex>":[175],"transmitted,":[177],"then":[178],"observed":[180],"receiver":[184],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">X_{2}":[188],"-":[189,200,220],"X_{1},":[190],"X_{3}-":[191],"X_{2},":[192],"X_{i+1}-":[195],"X_{i},":[196],"X_{l}":[199],"X_{l-1}</tex>":[201],"The":[203,238],"are":[205],"assumed":[206],"integers":[210],"mod":[211,224],";":[215],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">X_{i+1}":[219],"X_{i}</tex>":[221],"taken":[223],"situation":[230],"occurs":[231],"reading":[234],"phase-modulated":[236],"signals.":[237],"these":[241],"codes":[242],"(called":[243],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">K_{\\sigma":[246],")":[249],"based":[251],"on":[252]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
