{"id":"https://openalex.org/W2093166333","doi":"https://doi.org/10.1109/tc.1983.1676330","title":"An Algebraic Model of Fault-Masking Logic Circuits","display_name":"An Algebraic Model of Fault-Masking Logic Circuits","publication_year":1983,"publication_date":"1983-09-01","ids":{"openalex":"https://openalex.org/W2093166333","doi":"https://doi.org/10.1109/tc.1983.1676330","mag":"2093166333"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1983.1676330","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1983.1676330","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/A5114810236","display_name":"Schwab","orcid":null},"institutions":[{"id":"https://openalex.org/I72090969","display_name":"Nokia (United States)","ror":"https://ror.org/038km2573","country_code":"US","type":"company","lineage":["https://openalex.org/I2738502077","https://openalex.org/I72090969"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Schwab","raw_affiliation_strings":["Bell Laboratories, Naperville, IL, USA","BELL LABORATORIES"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Laboratories, Naperville, IL, USA","institution_ids":[]},{"raw_affiliation_string":"BELL LABORATORIES","institution_ids":["https://openalex.org/I72090969"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026089008","display_name":"Yau Yau","orcid":null},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yau","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL, USA","Northwestern University****"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL, USA","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"Northwestern University****","institution_ids":["https://openalex.org/I111979921"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7028,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84701248,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"C-32","issue":"9","first_page":"809","last_page":"825"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.6357349157333374},{"id":"https://openalex.org/keywords/logic-gate","display_name":"Logic gate","score":0.5347192883491516},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5296898484230042},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5227968096733093},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.5123923420906067},{"id":"https://openalex.org/keywords/sequential-logic","display_name":"Sequential logic","score":0.4609103798866272},{"id":"https://openalex.org/keywords/masking","display_name":"Masking (illustration)","score":0.4400457739830017},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.4396458566188812},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4375249445438385},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3671623468399048},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35219940543174744},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3437575101852417},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1331770122051239},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.10681241750717163}],"concepts":[{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.6357349157333374},{"id":"https://openalex.org/C131017901","wikidata":"https://www.wikidata.org/wiki/Q170451","display_name":"Logic gate","level":2,"score":0.5347192883491516},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5296898484230042},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5227968096733093},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.5123923420906067},{"id":"https://openalex.org/C187075797","wikidata":"https://www.wikidata.org/wiki/Q173245","display_name":"Sequential logic","level":3,"score":0.4609103798866272},{"id":"https://openalex.org/C2777402240","wikidata":"https://www.wikidata.org/wiki/Q6783436","display_name":"Masking (illustration)","level":2,"score":0.4400457739830017},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.4396458566188812},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4375249445438385},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3671623468399048},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35219940543174744},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3437575101852417},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1331770122051239},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.10681241750717163},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.1983.1676330","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1983.1676330","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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W127812686","https://openalex.org/W607232712","https://openalex.org/W1481658262","https://openalex.org/W1502955189","https://openalex.org/W1513721953","https://openalex.org/W1666015432","https://openalex.org/W1852762474","https://openalex.org/W1967575124","https://openalex.org/W1970044166","https://openalex.org/W1970134997","https://openalex.org/W1970377859","https://openalex.org/W1985545797","https://openalex.org/W1993013961","https://openalex.org/W1993371858","https://openalex.org/W1997084193","https://openalex.org/W2008521622","https://openalex.org/W2014091871","https://openalex.org/W2016113641","https://openalex.org/W2017568862","https://openalex.org/W2033724727","https://openalex.org/W2033757213","https://openalex.org/W2042997824","https://openalex.org/W2050850659","https://openalex.org/W2064759901","https://openalex.org/W2074563570","https://openalex.org/W2077614318","https://openalex.org/W2080123749","https://openalex.org/W2081730654","https://openalex.org/W2086120974","https://openalex.org/W2086164468","https://openalex.org/W2091122772","https://openalex.org/W2093104818","https://openalex.org/W2141330153","https://openalex.org/W2151870556","https://openalex.org/W2153711277","https://openalex.org/W2159391656","https://openalex.org/W2173426812","https://openalex.org/W2174635824","https://openalex.org/W2182112064","https://openalex.org/W2497735908","https://openalex.org/W6605095531"],"related_works":["https://openalex.org/W2728195892","https://openalex.org/W2611822924","https://openalex.org/W2486254595","https://openalex.org/W1597080238","https://openalex.org/W3204916073","https://openalex.org/W2031906996","https://openalex.org/W1526667530","https://openalex.org/W2516690985","https://openalex.org/W2055594799","https://openalex.org/W2063425181"],"abstract_inverted_index":{"In":[0,114],"this":[1,24],"paper,":[2],"an":[3],"algebraic":[4],"model":[5],"of":[6,43,51,64,85,91,118,133],"fault-masking":[7],"logic":[8,92,96,100],"(FML)":[9],"circuits,":[10],"assuming":[11],"bitwise":[12],"logical":[13],"operations":[14],"and":[15,28,37,40,56,62,69],"a":[16,52,57,82,88],"separate":[17],"single-valued":[18],"coding":[19],"system":[20],"is":[21,107,124],"presented.":[22],"From":[23],"model,":[25],"the":[26,38,116,127,130],"neccessary":[27],"sufficient":[29],"conditions":[30],"to":[31],"construct":[32],"FML":[33,45,65,76,119,134],"circuits":[34,46,66,120,135],"are":[35,47,67,73,78,112],"derived,":[36],"error-propagating":[39],"error-correcting":[41,131],"characteristics":[42],"such":[44],"defined":[48],"in":[49,87,126],"terms":[50],"Boolean":[53],"vector":[54],"algebra":[55],"syndrome-like":[58],"function.":[59],"The":[60],"capabilities":[61,123,132],"limitations":[63],"characterized":[68],"several":[70],"constructive":[71],"techniques":[72],"explored.":[74],"Optimum":[75],"constructions":[77,103],"developed":[79,125],"for":[80,94],"correcting":[81],"maximum":[83],"number":[84,90],"faults":[86],"minimum":[89],"levels":[93],"simple":[95],"structures.":[97],"For":[98],"complex":[99],"structures,":[101],"these":[102],"apply":[104],"but":[105],"it":[106],"not":[108],"known":[109],"if":[110],"they":[111],"optimum.":[113],"addition,":[115],"enhancement":[117],"with":[121],"fault-detecting":[122],"event":[128],"that":[129],"should":[136],"be":[137],"exceeded.":[138]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}