{"id":"https://openalex.org/W2216351130","doi":"https://doi.org/10.1109/iceee.2015.7357937","title":"A cache-aware data structure for representing boolean polynomials","display_name":"A cache-aware data structure for representing boolean polynomials","publication_year":2015,"publication_date":"2015-10-01","ids":{"openalex":"https://openalex.org/W2216351130","doi":"https://doi.org/10.1109/iceee.2015.7357937","mag":"2216351130"},"language":"en","primary_location":{"id":"doi:10.1109/iceee.2015.7357937","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iceee.2015.7357937","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 12th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","raw_type":"proceedings-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/A5054076718","display_name":"Rodrigo Alexander Castro Campos","orcid":"https://orcid.org/0000-0003-2275-5511"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"R. A. Castro Campos","raw_affiliation_strings":["Posgrado en Optimizaci\u00f3n UAM Azcapotzalco, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Posgrado en Optimizaci\u00f3n UAM Azcapotzalco, Mexico City, Mexico","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016333418","display_name":"F\u00e9liu D. Sagols Troncoso","orcid":null},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]},{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"F. D. Sagols Troncoso","raw_affiliation_strings":["Departamento de Matem\u00e1ticas Cinvestav IPN, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas Cinvestav IPN, Mexico City, Mexico","institution_ids":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064414025","display_name":"Francisco Javier Zaragoza Mart\u00ednez","orcid":"https://orcid.org/0000-0001-7570-1483"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]},{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"F. J. Zaragoza Martinez","raw_affiliation_strings":["Departamento de Matem\u00e1ticas Cinvestav IPN, Mexico City, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas Cinvestav IPN, Mexico City, Mexico","institution_ids":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054076718"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11137472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9998999834060669,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9993000030517578,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9955999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7251743078231812},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6150715947151184},{"id":"https://openalex.org/keywords/cache","display_name":"Cache","score":0.5663869976997375},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.499727725982666},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.45360809564590454},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.44978535175323486},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.4430423974990845},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.36418622732162476},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30041801929473877},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2556876540184021}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7251743078231812},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6150715947151184},{"id":"https://openalex.org/C115537543","wikidata":"https://www.wikidata.org/wiki/Q165596","display_name":"Cache","level":2,"score":0.5663869976997375},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.499727725982666},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.45360809564590454},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.44978535175323486},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.4430423974990845},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.36418622732162476},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30041801929473877},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2556876540184021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iceee.2015.7357937","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iceee.2015.7357937","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 12th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","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":11,"referenced_works":["https://openalex.org/W428846309","https://openalex.org/W1581805183","https://openalex.org/W1783202385","https://openalex.org/W2015553450","https://openalex.org/W2035842864","https://openalex.org/W2065209187","https://openalex.org/W2241988237","https://openalex.org/W2752061190","https://openalex.org/W2752853835","https://openalex.org/W2951514296","https://openalex.org/W6744529318"],"related_works":["https://openalex.org/W2109998394","https://openalex.org/W2058288504","https://openalex.org/W4252281389","https://openalex.org/W2107037376","https://openalex.org/W1976822807","https://openalex.org/W2133491672","https://openalex.org/W1991822629","https://openalex.org/W1996276855","https://openalex.org/W2050201153","https://openalex.org/W2187008505"],"abstract_inverted_index":{"The":[0],"performance":[1],"of":[2,13,21,24,33,43],"many":[3],"mathematical":[4],"and":[5],"computational":[6],"tasks":[7],"highly":[8],"depends":[9],"on":[10],"the":[11,19,22,44],"implementation":[12],"polynomial":[14,45],"arithmetic.":[15],"Motivated":[16],"by":[17],"improving":[18],"efficiency":[20],"computation":[23],"boolean":[25,35],"Gr\u00f6bner":[26,50],"bases,":[27],"we":[28],"present":[29,39],"a":[30],"cache-aware":[31],"representation":[32],"sparse":[34],"polynomials.":[36],"We":[37],"also":[38],"extremely":[40],"high-performance":[41],"implementations":[42],"operations":[46],"required":[47],"in":[48],"classical":[49],"basis":[51],"algorithms.":[52]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}