{"id":"https://openalex.org/W2043480510","doi":"https://doi.org/10.1587/elex.6.8","title":"A new algorithm for determining all possible symmetric hybrid redundant numbers","display_name":"A new algorithm for determining all possible symmetric hybrid redundant numbers","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2043480510","doi":"https://doi.org/10.1587/elex.6.8","mag":"2043480510"},"language":"en","primary_location":{"id":"doi:10.1587/elex.6.8","is_oa":true,"landing_page_url":"https://doi.org/10.1587/elex.6.8","pdf_url":"https://www.jstage.jst.go.jp/article/elex/6/1/6_1_8/_pdf","source":{"id":"https://openalex.org/S207433681","display_name":"IEICE Electronics Express","issn_l":"1349-2543","issn":["1349-2543","1349-9467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Electronics Express","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.jstage.jst.go.jp/article/elex/6/1/6_1_8/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038449373","display_name":"Somayeh Timarchi","orcid":null},"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":true,"raw_author_name":"Somayeh Timarchi","raw_affiliation_strings":["Department of Computer Engineering, Faculty of Electrical & Computer Engineering, Shahid Beheshti University"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Faculty of Electrical & Computer Engineering, Shahid Beheshti University","institution_ids":["https://openalex.org/I48379061"]}]},{"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":["Department of Computer Engineering, Faculty of Electrical & Computer Engineering, Shahid Beheshti University"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Faculty of Electrical & Computer Engineering, Shahid Beheshti University","institution_ids":["https://openalex.org/I48379061"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038449373"],"corresponding_institution_ids":["https://openalex.org/I48379061"],"apc_list":null,"apc_paid":null,"fwci":0.3428,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60224529,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"6","issue":"1","first_page":"8","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9948999881744385,"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":0.9925000071525574,"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/lemma","display_name":"Lemma (botany)","score":0.7261723279953003},{"id":"https://openalex.org/keywords/numerical-digit","display_name":"Numerical digit","score":0.645000696182251},{"id":"https://openalex.org/keywords/operand","display_name":"Operand","score":0.6266952753067017},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5429506301879883},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5223187804222107},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49586161971092224},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45446768403053284},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40405887365341187}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.7261723279953003},{"id":"https://openalex.org/C94957134","wikidata":"https://www.wikidata.org/wiki/Q82990","display_name":"Numerical digit","level":2,"score":0.645000696182251},{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.6266952753067017},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5429506301879883},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5223187804222107},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49586161971092224},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45446768403053284},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40405887365341187},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/elex.6.8","is_oa":true,"landing_page_url":"https://doi.org/10.1587/elex.6.8","pdf_url":"https://www.jstage.jst.go.jp/article/elex/6/1/6_1_8/_pdf","source":{"id":"https://openalex.org/S207433681","display_name":"IEICE Electronics Express","issn_l":"1349-2543","issn":["1349-2543","1349-9467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Electronics Express","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1587/elex.6.8","is_oa":true,"landing_page_url":"https://doi.org/10.1587/elex.6.8","pdf_url":"https://www.jstage.jst.go.jp/article/elex/6/1/6_1_8/_pdf","source":{"id":"https://openalex.org/S207433681","display_name":"IEICE Electronics Express","issn_l":"1349-2543","issn":["1349-2543","1349-9467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Electronics Express","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2043480510.pdf","grobid_xml":"https://content.openalex.org/works/W2043480510.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W1985704855","https://openalex.org/W2056767134","https://openalex.org/W2123304186","https://openalex.org/W2131213027","https://openalex.org/W2157218001"],"related_works":["https://openalex.org/W2090865818","https://openalex.org/W2204275588","https://openalex.org/W2047405250","https://openalex.org/W4240897725","https://openalex.org/W2015194765","https://openalex.org/W2039921003","https://openalex.org/W2562402966","https://openalex.org/W1508882069","https://openalex.org/W2027150535","https://openalex.org/W2090853787"],"abstract_inverted_index":{"Number":[0],"representations":[1],"play":[2],"important":[3],"roles":[4],"in":[5,37,56,111],"improving":[6],"the":[7,23,82,98],"speed":[8],"of":[9],"arithmetic":[10],"operations.":[11],"In":[12,52,97],"order":[13],"to":[14,21,105],"perform":[15],"parallel":[16],"computing,":[17],"it":[18,58],"is":[19,35,63],"needed":[20],"represent":[22],"operands":[24],"with":[25,76,92],"fully":[26],"or":[27],"hybrid":[28,72,94,112],"redundant":[29,41,73,95,113],"encodings.":[30],"Besides,":[31],"symmetric":[32,47,65,88,108],"digit":[33,48,66,89,109],"set":[34,67,90],"useful":[36],"many":[38],"applications.":[39],"Hybrid":[40],"number":[42,74,114],"systems":[43],"can":[44],"display":[45],"some":[46],"sets":[49,110],"for":[50,70],"radix-r.":[51],"a":[53,102],"lemma":[54,83],"proposed":[55],"[5]":[57],"was":[59],"shown":[60],"that":[61,81],"there":[62],"no":[64],"[-\u03b1,":[68],"\u03b1]":[69],"radix-r":[71],"system":[75],"\u03b1<r-2.":[77],"However":[78],"we":[79,100],"show":[80],"can't":[84],"produce":[85],"all":[86,107],"possible":[87],"associated":[91],"periodic":[93],"representations.":[96],"paper":[99],"propose":[101],"new":[103],"algorithm":[104],"determine":[106],"system.":[115]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}