{"id":"https://openalex.org/W2143327240","doi":"https://doi.org/10.1109/iscas.2009.5117779","title":"Efficient VLSI design of a reverse RNS converter for new flexible 4-moduli set (2&lt;sup&gt;p+k&lt;/sup&gt;, 2&lt;sup&gt;p&lt;/sup&gt;+1, 2&lt;sup&gt;p&lt;/sup&gt;&amp;#x2212;1, 2&lt;sup&gt;2p&lt;/sup&gt;+1)","display_name":"Efficient VLSI design of a reverse RNS converter for new flexible 4-moduli set (2&lt;sup&gt;p+k&lt;/sup&gt;, 2&lt;sup&gt;p&lt;/sup&gt;+1, 2&lt;sup&gt;p&lt;/sup&gt;&amp;#x2212;1, 2&lt;sup&gt;2p&lt;/sup&gt;+1)","publication_year":2009,"publication_date":"2009-05-01","ids":{"openalex":"https://openalex.org/W2143327240","doi":"https://doi.org/10.1109/iscas.2009.5117779","mag":"2143327240"},"language":"de","primary_location":{"id":"doi:10.1109/iscas.2009.5117779","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2009.5117779","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Circuits and Systems","raw_type":"proceedings-article"},"type":"conference-paper","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/A5044661940","display_name":"Yuan-Ching Kuo","orcid":null},"institutions":[{"id":"https://openalex.org/I75357094","display_name":"National Yunlin University of Science and Technology","ror":"https://ror.org/04qkq2m54","country_code":"TW","type":"education","lineage":["https://openalex.org/I75357094"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yuan-Ching Kuo","raw_affiliation_strings":["Graduate School of Engineering Science and Technology, National Yunlin University of Science and Technology, Yunlin, Taiwan","Graduate School of Engineering Science and Technology, National Yunlin University of Science & Technology, 123, Sec. 3 University Rd., Touliu, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering Science and Technology, National Yunlin University of Science and Technology, Yunlin, Taiwan","institution_ids":["https://openalex.org/I75357094"]},{"raw_affiliation_string":"Graduate School of Engineering Science and Technology, National Yunlin University of Science & Technology, 123, Sec. 3 University Rd., Touliu, Taiwan","institution_ids":["https://openalex.org/I75357094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009380202","display_name":"Su-Hon Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I75357094","display_name":"National Yunlin University of Science and Technology","ror":"https://ror.org/04qkq2m54","country_code":"TW","type":"education","lineage":["https://openalex.org/I75357094"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Su-Hon Lin","raw_affiliation_strings":["Graduate School of Engineering Science and Technology, National Yunlin University of Science and Technology, Yunlin, Taiwan","Graduate School of Engineering Science and Technology, National Yunlin University of Science & Technology, 123, Sec. 3 University Rd., Touliu, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering Science and Technology, National Yunlin University of Science and Technology, Yunlin, Taiwan","institution_ids":["https://openalex.org/I75357094"]},{"raw_affiliation_string":"Graduate School of Engineering Science and Technology, National Yunlin University of Science & Technology, 123, Sec. 3 University Rd., Touliu, Taiwan","institution_ids":["https://openalex.org/I75357094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019598631","display_name":"Ming\u2010Hwa Sheu","orcid":"https://orcid.org/0000-0002-8417-474X"},"institutions":[{"id":"https://openalex.org/I75357094","display_name":"National Yunlin University of Science and Technology","ror":"https://ror.org/04qkq2m54","country_code":"TW","type":"education","lineage":["https://openalex.org/I75357094"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ming-Hwa Sheu","raw_affiliation_strings":["Graduate School of Engineering Science and Technology, National Yunlin University of Science and Technology, Yunlin, Taiwan","Graduate School of Engineering Science and Technology, National Yunlin University of Science & Technology, 123, Sec. 3 University Rd., Touliu, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering Science and Technology, National Yunlin University of Science and Technology, Yunlin, Taiwan","institution_ids":["https://openalex.org/I75357094"]},{"raw_affiliation_string":"Graduate School of Engineering Science and Technology, National Yunlin University of Science & Technology, 123, Sec. 3 University Rd., Touliu, Taiwan","institution_ids":["https://openalex.org/I75357094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012911486","display_name":"Jia-You Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I75357094","display_name":"National Yunlin University of Science and Technology","ror":"https://ror.org/04qkq2m54","country_code":"TW","type":"education","lineage":["https://openalex.org/I75357094"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Jia-You Wu","raw_affiliation_strings":["Graduate School of Engineering Science and Technology, National Yunlin University of Science and Technology, Yunlin, Taiwan","Graduate School of Engineering Science and Technology, National Yunlin University of Science & Technology, 123, Sec. 3 University Rd., Touliu, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering Science and Technology, National Yunlin University of Science and Technology, Yunlin, Taiwan","institution_ids":["https://openalex.org/I75357094"]},{"raw_affiliation_string":"Graduate School of Engineering Science and Technology, National Yunlin University of Science & Technology, 123, Sec. 3 University Rd., Touliu, Taiwan","institution_ids":["https://openalex.org/I75357094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050456871","display_name":"Peng-Siang Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I75357094","display_name":"National Yunlin University of Science and Technology","ror":"https://ror.org/04qkq2m54","country_code":"TW","type":"education","lineage":["https://openalex.org/I75357094"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Peng-Siang Wang","raw_affiliation_strings":["Graduate School of Engineering Science and Technology, National Yunlin University of Science and Technology, Yunlin, Taiwan","Graduate School of Engineering Science and Technology, National Yunlin University of Science & Technology, 123, Sec. 3 University Rd., Touliu, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering Science and Technology, National Yunlin University of Science and Technology, Yunlin, Taiwan","institution_ids":["https://openalex.org/I75357094"]},{"raw_affiliation_string":"Graduate School of Engineering Science and Technology, National Yunlin University of Science & Technology, 123, Sec. 3 University Rd., Touliu, Taiwan","institution_ids":["https://openalex.org/I75357094"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I75357094"],"apc_list":null,"apc_paid":null,"fwci":0.7111,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.71098955,"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":"437","last_page":"440"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9958999752998352,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9934999942779541,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46550992131233215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4143833816051483}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46550992131233215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4143833816051483}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2009.5117779","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2009.5117779","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Circuits and Systems","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":8,"referenced_works":["https://openalex.org/W1489433220","https://openalex.org/W1601793793","https://openalex.org/W1971928471","https://openalex.org/W2080580079","https://openalex.org/W2107218841","https://openalex.org/W2149043711","https://openalex.org/W2158628547","https://openalex.org/W2309968414"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"propose":[4],"a":[5,18,26],"flexible":[6],"4-moduli":[7,86],"set":[8,35,87],"(2p+k,":[9],"2p+1,":[10],"2p\u22121,":[11],"22p+1)":[12],"which":[13,51],"is":[14],"profitable":[15],"to":[16,54],"construct":[17],"high-speed":[19],"residue":[20],"number":[21],"system":[22],"(RNS).":[23],"We":[24],"derive":[25],"simple":[27,49],"reverse":[28,68,114],"conversion":[29],"algorithm":[30],"for":[31,84],"the":[32,66,81,85,93,100,103,107,111],"proposed":[33,67,112],"moduli":[34],"by":[36],"using":[37],"Chinese":[38],"Remainder":[39],"Theorem":[40],"(CRT).":[41],"The":[42],"resulting":[43],"converter":[44,69,82,116],"architecture":[45],"mainly":[46],"consists":[47],"of":[48,75,110],"adders":[50],"are":[52,117],"suitable":[53],"realize":[55],"an":[56],"efficient":[57],"VLSI":[58],"implementation.":[59],"Based":[60],"on":[61],"TSMC":[62],"0.13um":[63],"CMOS":[64],"technology,":[65],"demonstrates":[70],"its":[71],"superiority":[72],"in":[73],"terms":[74],"area,":[76,102],"delay":[77],"and":[78,106,120],"power":[79,108],"over":[80],"design":[83],"(2n,":[88],"2n\u22121,":[89],"2n+1,":[90],"22n+1)":[91],"under":[92],"various":[94],"dynamic":[95],"range":[96],"(DR)":[97],"requirements.":[98],"Finally,":[99],"chip":[101],"clock":[104],"rate":[105],"consumption":[109],"32-bit":[113],"RNS":[115],"1227\u00d71227um2,":[118],"105MHz":[119],"1.3mW":[121],"respectively.":[122]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
