{"id":"https://openalex.org/W2047027829","doi":"https://doi.org/10.1109/tc.1978.1675166","title":"Phase-Shift Analysis of Linear Feedback Shift Register Structures Generating Pseudorandom Sequences","display_name":"Phase-Shift Analysis of Linear Feedback Shift Register Structures Generating Pseudorandom Sequences","publication_year":1978,"publication_date":"1978-07-01","ids":{"openalex":"https://openalex.org/W2047027829","doi":"https://doi.org/10.1109/tc.1978.1675166","mag":"2047027829"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1978.1675166","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1978.1675166","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"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 Computers","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/A5066593774","display_name":"Maritsas","orcid":null},"institutions":[{"id":"https://openalex.org/I203474044","display_name":"National Centre of Scientific Research \"Demokritos\"","ror":"https://ror.org/038jp4m40","country_code":"GR","type":"facility","lineage":["https://openalex.org/I203474044"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Maritsas","raw_affiliation_strings":["Digital Systems Laboratory, Computer Center, NRC \"Democritos,\" Aghia Paraskevi","Digital Systems Laboratory, Computer Center, NRC Demokritos, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Digital Systems Laboratory, Computer Center, NRC \"Democritos,\" Aghia Paraskevi","institution_ids":[]},{"raw_affiliation_string":"Digital Systems Laboratory, Computer Center, NRC Demokritos, Athens, Greece","institution_ids":["https://openalex.org/I203474044"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057557125","display_name":"Arvillias","orcid":null},"institutions":[{"id":"https://openalex.org/I203474044","display_name":"National Centre of Scientific Research \"Demokritos\"","ror":"https://ror.org/038jp4m40","country_code":"GR","type":"facility","lineage":["https://openalex.org/I203474044"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Arvillias","raw_affiliation_strings":["Digital Systems Laboratory, Computer Center, NRC Demokritos, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Digital Systems Laboratory, Computer Center, NRC Demokritos, Athens, Greece","institution_ids":["https://openalex.org/I203474044"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5097508151","display_name":"Bounas","orcid":null},"institutions":[{"id":"https://openalex.org/I203474044","display_name":"National Centre of Scientific Research \"Demokritos\"","ror":"https://ror.org/038jp4m40","country_code":"GR","type":"facility","lineage":["https://openalex.org/I203474044"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Bounas","raw_affiliation_strings":["Digital Systems Laboratory, Computer Center, NRC Demokritos, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Digital Systems Laboratory, Computer Center, NRC Demokritos, Athens, Greece","institution_ids":["https://openalex.org/I203474044"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.0846,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.93692261,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"C-27","issue":"7","first_page":"660","last_page":"669"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9786999821662903,"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":0.9786999821662903,"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/T11946","display_name":"Antenna Design and Optimization","score":0.9562000036239624,"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/T11797","display_name":"graph theory and CDMA systems","score":0.947700023651123,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/shift-register","display_name":"Shift register","score":0.8595110177993774},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.614280104637146},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.5638817548751831},{"id":"https://openalex.org/keywords/linear-feedback-shift-register","display_name":"Linear feedback shift register","score":0.5590314269065857},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4868618845939636},{"id":"https://openalex.org/keywords/register","display_name":"Register (sociolinguistics)","score":0.4715031683444977},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.42138510942459106},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.35072600841522217},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29471486806869507},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14355769753456116}],"concepts":[{"id":"https://openalex.org/C49654631","wikidata":"https://www.wikidata.org/wiki/Q746165","display_name":"Shift register","level":3,"score":0.8595110177993774},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.614280104637146},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.5638817548751831},{"id":"https://openalex.org/C159862308","wikidata":"https://www.wikidata.org/wiki/Q681101","display_name":"Linear feedback shift register","level":4,"score":0.5590314269065857},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4868618845939636},{"id":"https://openalex.org/C2779235478","wikidata":"https://www.wikidata.org/wiki/Q286576","display_name":"Register (sociolinguistics)","level":2,"score":0.4715031683444977},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.42138510942459106},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.35072600841522217},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29471486806869507},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14355769753456116},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C165005293","wikidata":"https://www.wikidata.org/wiki/Q1074500","display_name":"Chip","level":2,"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/tc.1978.1675166","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1978.1675166","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"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 Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W585653248","https://openalex.org/W1994890993","https://openalex.org/W2014752053","https://openalex.org/W2020736457","https://openalex.org/W2061379937","https://openalex.org/W2072781434","https://openalex.org/W2084977758","https://openalex.org/W2086797700","https://openalex.org/W4253497379"],"related_works":["https://openalex.org/W1991602179","https://openalex.org/W2623444083","https://openalex.org/W75082849","https://openalex.org/W2119351822","https://openalex.org/W4288754393","https://openalex.org/W4321517976","https://openalex.org/W1996917705","https://openalex.org/W2702071719","https://openalex.org/W2071728797","https://openalex.org/W2142840816"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,82,86],"systematic":[3],"way":[4],"for":[5,60],"analyzing":[6],"split-up":[7],"feedback":[8],"shift":[9],"register":[10],"structures":[11],"which":[12],"generate":[13],"parallel":[14],"p-n":[15,33],"sequences.":[16,64],"The":[17,35,50,121],"analysis":[18,54,81],"aims":[19],"towards":[20],"determining":[21],"the":[22,27,31,58,72,77,106],"relative":[23],"phase":[24],"shifts":[25],"among":[26],"various":[28],"realizations":[29],"of":[30,52,79,85,88,99,123],"same":[32],"sequence.":[34],"main":[36],"design":[37],"criterion":[38],"is":[39,68,95,126],"derived":[40],"when":[41,131],"such":[42],"systems":[43],"are":[44,55,136],"used":[45],"as":[46],"pseudorandom":[47,62,132],"number":[48,63,133],"generators.":[49],"results":[51],"this":[53,124],"incorporated":[56],"in":[57,76,105],"procedure":[59,74],"constructing":[61],"A":[65],"case":[66],"study":[67,125],"presented":[69],"to":[70,118,127],"demonstrate":[71],"construction":[73],"and":[75,116],"light":[78],"our":[80],"critical":[83],"assessment":[84],"class":[87],"generators":[89],"proposed":[90],"by":[91,109],"W.":[92,110],"J.":[93,111],"Hurd,":[94],"given.":[96],"Two":[97],"polynomials":[98],"degree":[100],"n":[101],"=":[102],"20":[103],"contained":[104],"table":[107],"reported":[108],"Hurd":[112],"have":[113],"been":[114],"checked":[115],"proved":[117],"be":[119],"nonprimitive.":[120],"purpose":[122],"ensure":[128],"\"safe\"":[129],"designs":[130],"generating":[134],"algorithms":[135],"constructed,":[137],"based":[138],"on":[139],"high-degree":[140],"recursions":[141],"with":[142],"many":[143],"nonzero":[144],"terms.":[145]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}