{"id":"https://openalex.org/W1985545797","doi":"https://doi.org/10.1109/tc.1973.5009108","title":"Arithmetic Algorithms for Error-Coded Operands","display_name":"Arithmetic Algorithms for Error-Coded Operands","publication_year":1973,"publication_date":"1973-06-01","ids":{"openalex":"https://openalex.org/W1985545797","doi":"https://doi.org/10.1109/tc.1973.5009108","mag":"1985545797"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1973.5009108","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1973.5009108","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/A5109892184","display_name":"Algirdas Avi\u017eienis","orcid":null},"institutions":[{"id":"https://openalex.org/I1334627681","display_name":"Jet Propulsion Laboratory","ror":"https://ror.org/027k65916","country_code":"US","type":"facility","lineage":["https://openalex.org/I122411786","https://openalex.org/I1334627681","https://openalex.org/I4210124779"]},{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Algirdas Avizienis","raw_affiliation_strings":["Department of Computer Science, University of California, Los Angeles, CA, USA","Jet Propulsion Laboratory, Pasadena, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"Jet Propulsion Laboratory, Pasadena, CA, USA","institution_ids":["https://openalex.org/I1334627681"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109892184"],"corresponding_institution_ids":["https://openalex.org/I1334627681","https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":1.068,"has_fulltext":false,"cited_by_count":69,"citation_normalized_percentile":{"value":0.73894033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"C-22","issue":"6","first_page":"567","last_page":"572"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9995999932289124,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9995999932289124,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6265424489974976},{"id":"https://openalex.org/keywords/operand","display_name":"Operand","score":0.6053755879402161},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5847228169441223},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5674437284469604},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5006370544433594},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4347361922264099},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.4268793761730194},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.3943774700164795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3209879994392395},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12355798482894897}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6265424489974976},{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.6053755879402161},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5847228169441223},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5674437284469604},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5006370544433594},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4347361922264099},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.4268793761730194},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3943774700164795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3209879994392395},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12355798482894897},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.1973.5009108","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1973.5009108","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":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W128851373","https://openalex.org/W1592929868","https://openalex.org/W1965242406","https://openalex.org/W1987543700","https://openalex.org/W1997201851","https://openalex.org/W1998730330","https://openalex.org/W2064759901","https://openalex.org/W2087447218","https://openalex.org/W2113465248","https://openalex.org/W2119009318","https://openalex.org/W4205224013"],"related_works":["https://openalex.org/W3086669545","https://openalex.org/W2090865818","https://openalex.org/W2204275588","https://openalex.org/W2047405250","https://openalex.org/W4240897725","https://openalex.org/W2905392904","https://openalex.org/W2015194765","https://openalex.org/W2039921003","https://openalex.org/W2562402966","https://openalex.org/W1508882069"],"abstract_inverted_index":{"A":[0,22,70],"set":[1,27],"of":[2,51,87],"arithmetic":[3,90],"algorithms":[4,61],"is":[5,56,95],"described":[6],"for":[7,64,78,91],"operands":[8],"that":[9],"are":[10,62],"encoded":[11],"in":[12,58],"the":[13,18,65,79],"``AN''":[14],"error-detecting":[15],"code":[16,68,94],"with":[17,69],"low-cost":[19,66],"check":[20],"modulus":[21],"=":[23,71],"2a-":[24,42,47],"1.":[25],"The":[26,49,85],"includes":[28],"addition":[29],"additive":[30],"inverse":[31],"(complementation),":[32],"multiplication,":[33],"division,":[34],"roundoff,":[35],"and":[36,44],"two":[37],"auxiliary":[38],"algorithms:":[39],"``multiply":[40],"by":[41,46],"1,''":[43],"``divide":[45],"1.''":[48],"design":[50],"a":[52],"serial":[53],"radix-16":[54],"processor":[55,74],"presented":[57],"which":[59],"these":[60],"implemented":[63],"AN":[67],"15.":[72],"This":[73],"has":[75],"been":[76],"constructed":[77],"Jet":[80],"Propulsion":[81],"Laboratory":[82],"STAR":[83],"computer.":[84],"adaptation":[86],"``two's":[88],"complement''":[89],"an":[92],"inverse-residue":[93],"also":[96],"described.":[97]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}