{"id":"https://openalex.org/W1518463684","doi":"https://doi.org/10.1007/3-540-13345-3_31","title":"Area-time optimal vlsi integer multiplier with minimum computation time","display_name":"Area-time optimal vlsi integer multiplier with minimum computation time","publication_year":1983,"publication_date":"1983-07-01","ids":{"openalex":"https://openalex.org/W1518463684","doi":"https://doi.org/10.1007/3-540-13345-3_31","mag":"1518463684"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-13345-3_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-13345-3_31","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/s0019-9958(83)80061-8","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010961023","display_name":"Kurt Mehlhorn","orcid":"https://orcid.org/0000-0003-4020-4334"},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"K. Mehlhorn","raw_affiliation_strings":["Algorithms and Complexity, MPI for Informatics, Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Algorithms and Complexity, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112789186","display_name":"Franco P. Preparata","orcid":null},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"funder","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"F. P. Preparata","raw_affiliation_strings":["Max Planck Society"],"affiliations":[{"raw_affiliation_string":"Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010961023"],"corresponding_institution_ids":["https://openalex.org/I149899117"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11080604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"58","issue":"1-3","first_page":"137","last_page":"156"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9912999868392944,"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":0.986299991607666,"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/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.6214273571968079},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6016600728034973},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.544105052947998},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.5249091386795044},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4859863221645355},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.45349040627479553},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4523991346359253},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.43019038438796997},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35508865118026733},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33626848459243774},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3258969783782959},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.088774174451828}],"concepts":[{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.6214273571968079},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6016600728034973},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.544105052947998},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.5249091386795044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4859863221645355},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.45349040627479553},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4523991346359253},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.43019038438796997},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35508865118026733},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33626848459243774},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3258969783782959},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.088774174451828},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/3-540-13345-3_31","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-13345-3_31","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"doi:10.1016/s0019-9958(83)80061-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0019-9958(83)80061-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210192454","display_name":"Information and Control","issn_l":"0019-9958","issn":["0019-9958","1878-2981"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information and Control","raw_type":"journal-article"},{"id":"pmh:oai:edoc.mpg.de:344629","is_oa":false,"landing_page_url":"http://edoc.mpg.de/344629","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Automata, languages and programming (ICALP-84) : 11th colloquium, Springer, 347-357 (1984)","raw_type":"Conference-Paper"},{"id":"pmh:oai:edoc.mpg.de:344638","is_oa":false,"landing_page_url":"http://edoc.mpg.de/344638","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Other"},{"id":"pmh:oai:pure.mpg.de:item_1332171","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0014-AF0C-6","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:pure.mpg.de:item_1332193","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0014-AF36-6","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/other"},{"id":"mag:1518463684","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.1016/s0019-9958(83)80061-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s0019-9958(83)80061-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210192454","display_name":"Information and Control","issn_l":"0019-9958","issn":["0019-9958","1878-2981"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information and Control","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W574066314","https://openalex.org/W1517179069","https://openalex.org/W1649758727","https://openalex.org/W1966133222","https://openalex.org/W1983849809","https://openalex.org/W2026552480","https://openalex.org/W2041131577","https://openalex.org/W2067002313","https://openalex.org/W2073491596","https://openalex.org/W2080085596","https://openalex.org/W2083368929","https://openalex.org/W2165495918","https://openalex.org/W6667001608"],"related_works":["https://openalex.org/W163233978","https://openalex.org/W1822244604","https://openalex.org/W1888241759","https://openalex.org/W2043243784","https://openalex.org/W3012298678","https://openalex.org/W3002505111","https://openalex.org/W2537865271","https://openalex.org/W2384173132","https://openalex.org/W2945152427","https://openalex.org/W3184537890","https://openalex.org/W3036553373","https://openalex.org/W2919007701","https://openalex.org/W2919990268","https://openalex.org/W3141007974","https://openalex.org/W2077881312","https://openalex.org/W2914247084","https://openalex.org/W2350805039","https://openalex.org/W2363834730","https://openalex.org/W2034349555","https://openalex.org/W2978300295"],"abstract_inverted_index":{"According":[0],"to":[1,74],"VLSI":[2],"theory,":[3],"[log":[4],"n,":[5],"\u221an]is":[6],"the":[7,29,59],"range":[8,31],"of":[9,20,42,45],"computation":[10,49],"times":[11,50],"for":[12,28],"which":[13],"there":[14],"may":[15],"exist":[16],"an":[17],"AT2-optimal":[18,46],"multiplier":[19],"n-bit":[21],"integers.":[22],"Such":[23],"networks":[24],"were":[25],"previously":[26],"known":[27],"time":[30],"[\u03a9(log2":[32],"n),":[33,52],"O(\u221an)];":[34],"this":[35],"theoretical":[36],"question":[37],"is":[38],"settled,":[39],"by":[40],"exhibition":[41],"a":[43,62,70],"class":[44],"multipliers":[47],"with":[48],"[\u03a9(log":[51],"O(\u221an)].":[53],"The":[54],"designs":[55],"are":[56,67],"based":[57],"on":[58,61],"DFT":[60],"Fermat":[63],"ring,":[64],"whose":[65],"elements":[66],"represented":[68],"in":[69],"redundant":[71],"radix-4":[72],"form":[73],"ensure":[75],"O(1)":[76],"addition":[77],"time.":[78]},"counts_by_year":[],"updated_date":"2026-02-26T08:16:20.718346","created_date":"2025-10-10T00:00:00"}
