{"id":"https://openalex.org/W4242297744","doi":"https://doi.org/10.1109/fdtc.2007.4318983","title":"Fault Detection Structures for the Montgomery Multiplication over Binary Extension Fields","display_name":"Fault Detection Structures for the Montgomery Multiplication over Binary Extension Fields","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W4242297744","doi":"https://doi.org/10.1109/fdtc.2007.4318983"},"language":"en","primary_location":{"id":"doi:10.1109/fdtc.2007.4318983","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fdtc.2007.4318983","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Workshop on Fault Diagnosis and Tolerance in Cryptography (FDTC 2007)","raw_type":"proceedings-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/A5064055478","display_name":"Arash Hariri","orcid":null},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Arash Hariri","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Western Ontario, London, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Western Ontario, London, ONT, Canada","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073730333","display_name":"Arash Reyhani-Masoleh","orcid":"https://orcid.org/0000-0001-9743-6975"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Arash Reyhani-Masoleh","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Western Ontario, London, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Western Ontario, London, ONT, Canada","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064055478"],"corresponding_institution_ids":["https://openalex.org/I125749732"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.42703115,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9944000244140625,"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":0.9944000244140625,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9937000274658203,"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/T10237","display_name":"Cryptography and Data Security","score":0.9523000121116638,"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/computer-science","display_name":"Computer science","score":0.7029762864112854},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.6442775726318359},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6206957101821899},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6029084920883179},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5719527006149292},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5677440166473389},{"id":"https://openalex.org/keywords/finite-field-arithmetic","display_name":"Finite field arithmetic","score":0.5056302547454834},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.4897017776966095},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4619342088699341},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.4618723690509796},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3937000334262848},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.36477339267730713},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3393620252609253},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23159965872764587},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1272750198841095}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7029762864112854},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.6442775726318359},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6206957101821899},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6029084920883179},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5719527006149292},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5677440166473389},{"id":"https://openalex.org/C189178079","wikidata":"https://www.wikidata.org/wiki/Q5450398","display_name":"Finite field arithmetic","level":3,"score":0.5056302547454834},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.4897017776966095},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4619342088699341},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.4618723690509796},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3937000334262848},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.36477339267730713},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3393620252609253},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23159965872764587},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1272750198841095},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fdtc.2007.4318983","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fdtc.2007.4318983","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Workshop on Fault Diagnosis and Tolerance in Cryptography (FDTC 2007)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2130713829","https://openalex.org/W2526736076","https://openalex.org/W2028996897","https://openalex.org/W802848750","https://openalex.org/W2951318773","https://openalex.org/W2561899201","https://openalex.org/W2403905216","https://openalex.org/W2186732266","https://openalex.org/W2741149757","https://openalex.org/W1928474026"],"abstract_inverted_index":{"Finite":[0],"field":[1],"arithmetic":[2],"is":[3,11,21,32,40],"used":[4,42],"in":[5,28,43,54],"applications":[6],"like":[7],"cryptography,":[8],"where":[9],"it":[10,87],"crucial":[12],"to":[13,24],"detect":[14],"the":[15,26,35,55,82,103],"errors.":[16],"Therefore,":[17],"concurrent":[18,51,77],"error":[19,52,64,78,99],"detection":[20,53,65,79,100],"very":[22],"beneficial":[23],"increase":[25],"reliability":[27],"such":[29],"applications.":[30,45],"Multiplication":[31],"one":[33],"of":[34],"most":[36],"important":[37],"operations":[38],"and":[39,85],"widely":[41],"different":[44],"In":[46],"this":[47],"paper,":[48],"we":[49,73,94],"target":[50],"Montgomery":[56,69,91,105],"multiplication":[57,70],"over":[58,107],"binary":[59,108],"extension":[60,109],"fields.":[61],"We":[62],"propose":[63,95],"schemes":[66],"for":[67,102],"two":[68],"architectures.":[71],"First,":[72],"present":[74],"a":[75,96],"new":[76],"scheme":[80,101],"using":[81],"time":[83],"redundancy":[84],"apply":[86],"on":[88],"semi-systolic":[89],"array":[90],"multipliers.":[92],"Then,":[93],"parity":[97],"based":[98],"bit-serial":[104],"multiplier":[106],"Fields.":[110]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}