{"id":"https://openalex.org/W1557355787","doi":"https://doi.org/10.1007/3-540-35767-x_17","title":"Strength Reduction of Integer Division and Modulo Operations","display_name":"Strength Reduction of Integer Division and Modulo Operations","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1557355787","doi":"https://doi.org/10.1007/3-540-35767-x_17","mag":"1557355787"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-35767-x_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-35767-x_17","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":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dspace.mit.edu/bitstream/1721.1/149291/1/MIT-LCS-TM-600.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013331355","display_name":"Jeffrey Sheldon","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jeffrey Sheldon","raw_affiliation_strings":["M.I.T. Laboratory for Computer Science, USA"],"affiliations":[{"raw_affiliation_string":"M.I.T. Laboratory for Computer Science, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002446609","display_name":"Walter Lee","orcid":"https://orcid.org/0000-0001-5082-1411"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Walter Lee","raw_affiliation_strings":["M.I.T. Laboratory for Computer Science, USA"],"affiliations":[{"raw_affiliation_string":"M.I.T. Laboratory for Computer Science, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110254489","display_name":"Ben Greenwald","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ben Greenwald","raw_affiliation_strings":["M.I.T. Laboratory for Computer Science, USA"],"affiliations":[{"raw_affiliation_string":"M.I.T. Laboratory for Computer Science, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046791216","display_name":"Saman Amarasinghe","orcid":"https://orcid.org/0000-0002-7231-7643"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Saman Amarasinghe","raw_affiliation_strings":["M.I.T. Laboratory for Computer Science, USA"],"affiliations":[{"raw_affiliation_string":"M.I.T. Laboratory for Computer Science, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5013331355"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7879,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.67715736,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"254","last_page":"273"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998000264167786,"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":0.9993000030517578,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.8095022439956665},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.674260139465332},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.6298068761825562},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.600554883480072},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5958775281906128},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5168376564979553},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5126640200614929},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.4271969497203827},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.42466339468955994},{"id":"https://openalex.org/keywords/remainder","display_name":"Remainder","score":0.4205705523490906},{"id":"https://openalex.org/keywords/modulo-operation","display_name":"Modulo operation","score":0.4190191328525543},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3422219753265381},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.287040114402771},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.23219215869903564},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21767723560333252},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18468204140663147}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.8095022439956665},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.674260139465332},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.6298068761825562},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.600554883480072},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5958775281906128},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5168376564979553},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5126640200614929},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.4271969497203827},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.42466339468955994},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.4205705523490906},{"id":"https://openalex.org/C183448482","wikidata":"https://www.wikidata.org/wiki/Q1799665","display_name":"Modulo operation","level":2,"score":0.4190191328525543},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3422219753265381},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.287040114402771},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.23219215869903564},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21767723560333252},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18468204140663147},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":10,"locations":[{"id":"doi:10.1007/3-540-35767-x_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-35767-x_17","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":"pmh:oai:dspace.mit.edu:1721.1/149291","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/149291","pdf_url":"https://dspace.mit.edu/bitstream/1721.1/149291/1/MIT-LCS-TM-600.pdf","source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.16.1867","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.1867","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cag.lcs.mit.edu/commit/papers/01/mdopt-lcpc2001.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.16.410","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.410","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cag.lcs.mit.edu/commit/papers/01/sheldon-MEthesis.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.17.9259","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.17.9259","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lcs.mit.edu/publications/pubs/pdf/MIT-LCS-TM-600.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.18.504","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.18.504","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lcs.mit.edu/publications/pubs/ps/MIT-LCS-TM-600.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.35.5646","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.35.5646","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cag.lcs.mit.edu/~saman/papers/mdopt-tech00.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.67.9637","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.67.9637","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cag.lcs.mit.edu/commit/papers/99/mdopt-TM.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.70.5072","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.70.5072","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cag.lcs.mit.edu/commit/papers/99/mdopt-TM.pdf","raw_type":"text"},{"id":"pmh:oai:dspace.mit.edu:1721.1/86849","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/86849","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/149291","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/149291","pdf_url":"https://dspace.mit.edu/bitstream/1721.1/149291/1/MIT-LCS-TM-600.pdf","source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1557355787.pdf","grobid_xml":"https://content.openalex.org/works/W1557355787.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W150927061","https://openalex.org/W160806973","https://openalex.org/W1509824024","https://openalex.org/W1558457238","https://openalex.org/W1573675221","https://openalex.org/W1600567712","https://openalex.org/W1812749193","https://openalex.org/W1963547452","https://openalex.org/W1972073638","https://openalex.org/W1979242329","https://openalex.org/W1988075333","https://openalex.org/W1995270665","https://openalex.org/W2014033064","https://openalex.org/W2015918966","https://openalex.org/W2037690395","https://openalex.org/W2038198320","https://openalex.org/W2049961921","https://openalex.org/W2085182793","https://openalex.org/W2097699872","https://openalex.org/W2098876019","https://openalex.org/W2103917871","https://openalex.org/W2126041619","https://openalex.org/W2127470768","https://openalex.org/W2132331020","https://openalex.org/W2134788617","https://openalex.org/W2139906875","https://openalex.org/W2157879009","https://openalex.org/W2160650521","https://openalex.org/W2171048544","https://openalex.org/W2224113243","https://openalex.org/W4210721069","https://openalex.org/W4237771121","https://openalex.org/W4243834914","https://openalex.org/W4301216918","https://openalex.org/W4301808069","https://openalex.org/W6638574663","https://openalex.org/W6678861937","https://openalex.org/W6996888795"],"related_works":["https://openalex.org/W126207292","https://openalex.org/W2070252991","https://openalex.org/W2125596308","https://openalex.org/W4310294424","https://openalex.org/W1506998470","https://openalex.org/W2096889687","https://openalex.org/W2051810883","https://openalex.org/W2530574867","https://openalex.org/W2078545583","https://openalex.org/W4381743479"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
