{"id":"https://openalex.org/W2592025126","doi":"https://doi.org/10.1109/tc.2017.2676763","title":"Efficient Composited de Bruijn Sequence Generators","display_name":"Efficient Composited de Bruijn Sequence Generators","publication_year":2017,"publication_date":"2017-03-02","ids":{"openalex":"https://openalex.org/W2592025126","doi":"https://doi.org/10.1109/tc.2017.2676763","mag":"2592025126"},"language":"en","primary_location":{"id":"doi:10.1109/tc.2017.2676763","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2017.2676763","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","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/A5101989365","display_name":"Bo Yang","orcid":"https://orcid.org/0000-0002-4802-6985"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Bo Yang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071606427","display_name":"Kalikinkar Mandal","orcid":"https://orcid.org/0000-0002-8228-5016"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Kalikinkar Mandal","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030448834","display_name":"Mark D. Aagaard","orcid":"https://orcid.org/0000-0002-7331-3177"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mark D. Aagaard","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036636567","display_name":"Guang Gong","orcid":"https://orcid.org/0000-0003-2684-9259"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Guang Gong","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":1.3644,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.85661063,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"66","issue":"8","first_page":"1354","last_page":"1368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9994000196456909,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/de-bruijn-sequence","display_name":"De Bruijn sequence","score":0.9820340871810913},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7180243730545044},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5603050589561462},{"id":"https://openalex.org/keywords/application-specific-integrated-circuit","display_name":"Application-specific integrated circuit","score":0.47711947560310364},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4730728566646576},{"id":"https://openalex.org/keywords/stream-cipher","display_name":"Stream cipher","score":0.45985183119773865},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3584429919719696},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3215602934360504},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.260387122631073},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.20216631889343262},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.15765148401260376}],"concepts":[{"id":"https://openalex.org/C170320093","wikidata":"https://www.wikidata.org/wiki/Q1953457","display_name":"De Bruijn sequence","level":2,"score":0.9820340871810913},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7180243730545044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5603050589561462},{"id":"https://openalex.org/C77390884","wikidata":"https://www.wikidata.org/wiki/Q217302","display_name":"Application-specific integrated circuit","level":2,"score":0.47711947560310364},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4730728566646576},{"id":"https://openalex.org/C92950451","wikidata":"https://www.wikidata.org/wiki/Q864718","display_name":"Stream cipher","level":3,"score":0.45985183119773865},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3584429919719696},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3215602934360504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.260387122631073},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.20216631889343262},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.15765148401260376},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.2017.2676763","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2017.2676763","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","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":[{"id":"https://openalex.org/F4320307791","display_name":"Cisco Systems","ror":"https://ror.org/03yt1ez60"},{"id":"https://openalex.org/F4320332178","display_name":"National Institute of Standards and Technology","ror":"https://ror.org/05xpvk416"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W127787461","https://openalex.org/W401987441","https://openalex.org/W1517403092","https://openalex.org/W1573222895","https://openalex.org/W1586944506","https://openalex.org/W1827311732","https://openalex.org/W1966042291","https://openalex.org/W2007453203","https://openalex.org/W2007799433","https://openalex.org/W2018332397","https://openalex.org/W2024334686","https://openalex.org/W2035511639","https://openalex.org/W2039140951","https://openalex.org/W2049710951","https://openalex.org/W2076397729","https://openalex.org/W2107285942","https://openalex.org/W2128522106","https://openalex.org/W2146438343","https://openalex.org/W2295387281","https://openalex.org/W2342814867","https://openalex.org/W2402108048","https://openalex.org/W4243205024","https://openalex.org/W6605243307","https://openalex.org/W6697461345","https://openalex.org/W6825343983"],"related_works":["https://openalex.org/W3198016531","https://openalex.org/W127787461","https://openalex.org/W2039773446","https://openalex.org/W2397939707","https://openalex.org/W2382005989","https://openalex.org/W2294690109","https://openalex.org/W2079541850","https://openalex.org/W2163321958","https://openalex.org/W3146903076","https://openalex.org/W1554138936"],"abstract_inverted_index":{"A":[0],"binary":[1],"de":[2,49,61,81,90,102,182],"Bruijn":[3,21,50,62,82,91,103,183],"sequence":[4,9,22,51,63,83,92,104,184],"with":[5,53,157,162],"period":[6,106,186],"2nis":[7],"a":[8,88,101,181],"in":[10],"which":[11],"every":[12],"tuple":[13],"of":[14,80,96,105,154,173,178,185],"n":[15],"bits":[16],"occurs":[17],"exactly":[18],"once.":[19],"De":[20],"generators":[23,34,52,64],"have":[24],"randomness":[25],"properties":[26],"that":[27],"make":[28],"them":[29],"attractive":[30],"for":[31,39,115,143],"pseudorandom":[32],"number":[33],"and":[35,58,75,135,161,190],"as":[36],"building":[37],"blocks":[38],"stream":[40],"ciphers.":[41],"Unfortunately,":[42],"it":[43,131,164],"is":[44,141,193],"very":[45],"difficult":[46],"to":[47,100,124,167],"find":[48],"long":[54],"periods":[55],"(e.g.,":[56],"2128)":[57],"most":[59],"known":[60],"are":[65,98],"computationally":[66],"quite":[67],"expensive.":[68],"In":[69],"this":[70],"article,":[71],"we":[72],"present":[73],"\u201cOcDeb-k-n\u201d":[74],"the":[76,111,117,171,191],"first":[77],"hardware":[78,136],"implementation":[79],"generators.":[84],"OcDeb-k-n":[85],"efficiently":[86],"computes":[87],"composited":[89],"where":[93],"k":[94,127],"levels":[95],"composition":[97],"added":[99],"2n.":[107],"Numerically,":[108],"OcDeb":[109],"reduces":[110],"bit":[112],"operations":[113],"used":[114],"computing":[116],"feedback":[118],"function":[119],"significantly":[120],"from":[121],"\u0398(k2+":[122],"nk)":[123],"\u0398(k":[125],"log":[126],"+":[128],"logn).":[129],"Furthermore,":[130],"enables":[132],"efficient":[133],"parallelization":[134,163],"retiming.":[137],"Comprehensive":[138],"result":[139],"analysis":[140],"conducted":[142],"65":[144],"nm":[145],"ASIC":[146],"technology.":[147],"For":[148],"example,":[149],"OcDeb-32-32":[150],"has":[151],"an":[152],"area":[153,177],"643":[155],"GE":[156,189],"1.45":[158],"Gbps":[159,169],"performance,":[160],"generates":[165],"up":[166],"25.4":[168],"at":[170],"cost":[172],"4,787":[174],"GE.":[175],"The":[176],"OcDeb-512-32":[179],"generating":[180],"2544is":[187],"7,304":[188],"performance":[192],"1.25":[194],"Gbps.":[195]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}