{"id":"https://openalex.org/W2081862234","doi":"https://doi.org/10.1007/bf01272076","title":"Fast exponentiation using the truncation operation","display_name":"Fast exponentiation using the truncation operation","publication_year":1992,"publication_date":"1992-09-01","ids":{"openalex":"https://openalex.org/W2081862234","doi":"https://doi.org/10.1007/bf01272076","mag":"2081862234"},"language":"en","primary_location":{"id":"doi:10.1007/bf01272076","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01272076","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"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":"Computational Complexity","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/A5017977075","display_name":"Nader H. Bshouty","orcid":"https://orcid.org/0009-0007-7356-7824"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Nader H. Bshouty","raw_affiliation_strings":["Department of Computer Science, University of Calgary, T2N 1N4, Calgary, Canada","Dept of Computer Science, University of Calgary, Calgary, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Calgary, T2N 1N4, Calgary, Canada","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"Dept of Computer Science, University of Calgary, Calgary, Canada#TAB#","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014637159","display_name":"Yishay Mansour","orcid":"https://orcid.org/0000-0001-6891-2645"},"institutions":[{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]},{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yishay Mansour","raw_affiliation_strings":["IBM-Research Division, T.J. Watson Research Center, P.O. Box 704, 10598, Yorktown Heights, NY","IBM Research Division, T.J. Watson Research Center, Yorktown Heights"],"affiliations":[{"raw_affiliation_string":"IBM-Research Division, T.J. Watson Research Center, P.O. Box 704, 10598, Yorktown Heights, NY","institution_ids":["https://openalex.org/I4210114115","https://openalex.org/I1341412227"]},{"raw_affiliation_string":"IBM Research Division, T.J. Watson Research Center, Yorktown Heights","institution_ids":["https://openalex.org/I4210114115"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089964489","display_name":"Baruch Schieber","orcid":null},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]},{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Baruch Schieber","raw_affiliation_strings":["IBM-Research Division, T.J. Watson Research Center, P.O. Box 218, 10598, Yorktown Heights, NY","IBM Research Division, T.J. Watson Research Center, Yorktown Heights"],"affiliations":[{"raw_affiliation_string":"IBM-Research Division, T.J. Watson Research Center, P.O. Box 218, 10598, Yorktown Heights, NY","institution_ids":["https://openalex.org/I4210114115","https://openalex.org/I1341412227"]},{"raw_affiliation_string":"IBM Research Division, T.J. Watson Research Center, Yorktown Heights","institution_ids":["https://openalex.org/I4210114115"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077479877","display_name":"Prasson Tiwari","orcid":null},"institutions":[{"id":"https://openalex.org/I1304256225","display_name":"University of Wisconsin System","ror":"https://ror.org/03ydkyb10","country_code":"US","type":"education","lineage":["https://openalex.org/I1304256225"]},{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Prasson Tiwari","raw_affiliation_strings":["Department of Computer Science, University of Wisconsin, 1210 W. Dayton St., 53706, Madison, WI","[Department of Computer Science, University of Wisconsin, Madison]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Wisconsin, 1210 W. Dayton St., 53706, Madison, WI","institution_ids":["https://openalex.org/I135310074","https://openalex.org/I1304256225"]},{"raw_affiliation_string":"[Department of Computer Science, University of Wisconsin, Madison]","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5017977075"],"corresponding_institution_ids":["https://openalex.org/I168635309"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4797,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.65378131,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"2","issue":"3","first_page":"244","last_page":"255"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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/T10237","display_name":"Cryptography and Data Security","score":0.9980999827384949,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9965999722480774,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.8060464262962341},{"id":"https://openalex.org/keywords/exponentiation","display_name":"Exponentiation","score":0.7894555330276489},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7112812995910645},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6824518442153931},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6721068620681763},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.6576111912727356},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6416420936584473},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5733002424240112},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5291120409965515},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44583064317703247},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22839221358299255},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20321571826934814},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11048462986946106}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.8060464262962341},{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.7894555330276489},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7112812995910645},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6824518442153931},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6721068620681763},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.6576111912727356},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6416420936584473},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5733002424240112},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5291120409965515},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44583064317703247},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22839221358299255},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20321571826934814},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11048462986946106},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01272076","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01272076","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"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":"Computational Complexity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1655990431","https://openalex.org/W1969096587","https://openalex.org/W1975154469","https://openalex.org/W2010811692","https://openalex.org/W2071959614","https://openalex.org/W2078612732","https://openalex.org/W2088530796","https://openalex.org/W2151358049","https://openalex.org/W2156516305","https://openalex.org/W4250775169"],"related_works":["https://openalex.org/W1821857592","https://openalex.org/W2057474768","https://openalex.org/W3082721911","https://openalex.org/W4213010969","https://openalex.org/W4298965518","https://openalex.org/W3103765022","https://openalex.org/W2119606669","https://openalex.org/W2094893810","https://openalex.org/W4300883263","https://openalex.org/W4319874546"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
