{"id":"https://openalex.org/W9875335","doi":"https://doi.org/10.1007/s00034-014-9798-1","title":"Efficient Reverse Converters for 4-Moduli Sets {2 $$^{2n-1}-1$$ 2 n - 1 - 1 , 2 $$^{n}$$ n , 2 $$^{n}+1$$ n + 1 , 2 $$^{n}-1$$ n - 1 } and {2 $$^{2n-1}$$ 2 n - 1 , 2 $$^{2n-1}-1$$ 2 n - 1 - 1 , 2 $$^{n}+1$$ n + 1 , 2 $$^{n}-1$$ n - 1 } Based on CRTs Algorithm","display_name":"Efficient Reverse Converters for 4-Moduli Sets {2 $$^{2n-1}-1$$ 2 n - 1 - 1 , 2 $$^{n}$$ n , 2 $$^{n}+1$$ n + 1 , 2 $$^{n}-1$$ n - 1 } and {2 $$^{2n-1}$$ 2 n - 1 , 2 $$^{2n-1}-1$$ 2 n - 1 - 1 , 2 $$^{n}+1$$ n + 1 , 2 $$^{n}-1$$ n - 1 } Based on CRTs Algorithm","publication_year":2014,"publication_date":"2014-04-28","ids":{"openalex":"https://openalex.org/W9875335","doi":"https://doi.org/10.1007/s00034-014-9798-1","mag":"9875335"},"language":"en","primary_location":{"id":"doi:10.1007/s00034-014-9798-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00034-014-9798-1","pdf_url":null,"source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","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/A5091173625","display_name":"Mohammad Reza Noorimehr","orcid":null},"institutions":[{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mohammad Reza Noorimehr","raw_affiliation_strings":["Islamic Azad University, Science and Research Branch, Tehran, Iran","Islamic Azad University, , Science and Research Branch, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Islamic Azad University, Science and Research Branch, Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]},{"raw_affiliation_string":"Islamic Azad University, , Science and Research Branch, Tehran, Iran","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002779288","display_name":"Mehdi Hosseinzadeh","orcid":null},"institutions":[{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mehdi Hosseinzadeh","raw_affiliation_strings":["Islamic Azad University, Science and Research Branch, Tehran, Iran","Islamic Azad University, , Science and Research Branch, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Islamic Azad University, Science and Research Branch, Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]},{"raw_affiliation_string":"Islamic Azad University, , Science and Research Branch, Tehran, Iran","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044886674","display_name":"Keivan Navi","orcid":"https://orcid.org/0000-0002-5586-7766"},"institutions":[{"id":"https://openalex.org/I48379061","display_name":"Shahid Beheshti University","ror":"https://ror.org/0091vmj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I48379061"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Keivan Navi","raw_affiliation_strings":["Shahid Beheshti University, Tehran, Iran","Shahid Beheshti University,Tehran,Iran"],"affiliations":[{"raw_affiliation_string":"Shahid Beheshti University, Tehran, Iran","institution_ids":["https://openalex.org/I48379061"]},{"raw_affiliation_string":"Shahid Beheshti University,Tehran,Iran","institution_ids":["https://openalex.org/I48379061"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091173625"],"corresponding_institution_ids":["https://openalex.org/I155419210"],"apc_list":null,"apc_paid":null,"fwci":0.8205,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.79964825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"33","issue":"10","first_page":"3145","last_page":"3163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9990000128746033,"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":0.991100013256073,"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/converters","display_name":"Converters","score":0.8404213190078735},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.735942542552948},{"id":"https://openalex.org/keywords/adder","display_name":"Adder","score":0.6583342552185059},{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.5667598247528076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49726131558418274},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4446505010128021},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.325020968914032},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3000621199607849},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26381438970565796},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.2595652937889099},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.22728034853935242},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.196550190448761},{"id":"https://openalex.org/keywords/cmos","display_name":"CMOS","score":0.19554772973060608},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.16819694638252258},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10680288076400757},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.07137390971183777}],"concepts":[{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.8404213190078735},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.735942542552948},{"id":"https://openalex.org/C164620267","wikidata":"https://www.wikidata.org/wiki/Q376953","display_name":"Adder","level":3,"score":0.6583342552185059},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.5667598247528076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49726131558418274},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4446505010128021},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.325020968914032},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3000621199607849},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26381438970565796},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.2595652937889099},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.22728034853935242},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.196550190448761},{"id":"https://openalex.org/C46362747","wikidata":"https://www.wikidata.org/wiki/Q173431","display_name":"CMOS","level":2,"score":0.19554772973060608},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.16819694638252258},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10680288076400757},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.07137390971183777},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00034-014-9798-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00034-014-9798-1","pdf_url":null,"source":{"id":"https://openalex.org/S20109229","display_name":"Circuits Systems and Signal Processing","issn_l":"0278-081X","issn":["0278-081X","1531-5878"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Circuits, Systems, and Signal Processing","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":48,"referenced_works":["https://openalex.org/W581478192","https://openalex.org/W1483115357","https://openalex.org/W1547676814","https://openalex.org/W1562996865","https://openalex.org/W1581064268","https://openalex.org/W1584008964","https://openalex.org/W1591106557","https://openalex.org/W1597721379","https://openalex.org/W1601793793","https://openalex.org/W1608328750","https://openalex.org/W1812559081","https://openalex.org/W1967061303","https://openalex.org/W1967861055","https://openalex.org/W1971928471","https://openalex.org/W1974897811","https://openalex.org/W1979528933","https://openalex.org/W1989037528","https://openalex.org/W1991602527","https://openalex.org/W1997339082","https://openalex.org/W2016066384","https://openalex.org/W2043979010","https://openalex.org/W2049238057","https://openalex.org/W2080580079","https://openalex.org/W2083728593","https://openalex.org/W2097883101","https://openalex.org/W2101547486","https://openalex.org/W2106224035","https://openalex.org/W2112998193","https://openalex.org/W2119693293","https://openalex.org/W2132236349","https://openalex.org/W2133496391","https://openalex.org/W2143420045","https://openalex.org/W2149043711","https://openalex.org/W2155095649","https://openalex.org/W2167706997","https://openalex.org/W2173976859","https://openalex.org/W2189577178","https://openalex.org/W2276092874","https://openalex.org/W2332052452","https://openalex.org/W2469142762","https://openalex.org/W2482475948","https://openalex.org/W2501034810","https://openalex.org/W2546162547","https://openalex.org/W4229484196","https://openalex.org/W4229487320","https://openalex.org/W4243810185","https://openalex.org/W4249098410","https://openalex.org/W4256292147"],"related_works":["https://openalex.org/W4390550886","https://openalex.org/W3217463396","https://openalex.org/W2790557758","https://openalex.org/W2516396101","https://openalex.org/W3204929712","https://openalex.org/W4295102875","https://openalex.org/W2300671402","https://openalex.org/W2015155483","https://openalex.org/W2126468778","https://openalex.org/W2107715615"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
