{"id":"https://openalex.org/W2746955987","doi":"https://doi.org/10.1007/s12095-017-0252-7","title":"Exact 2-divisibility of exponential sums associated to boolean functions","display_name":"Exact 2-divisibility of exponential sums associated to boolean functions","publication_year":2017,"publication_date":"2017-08-15","ids":{"openalex":"https://openalex.org/W2746955987","doi":"https://doi.org/10.1007/s12095-017-0252-7","mag":"2746955987"},"language":"en","primary_location":{"id":"doi:10.1007/s12095-017-0252-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-017-0252-7","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","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/A5110505253","display_name":"Francis N. Castro","orcid":null},"institutions":[{"id":"https://openalex.org/I200399037","display_name":"University of Puerto Rico System","ror":"https://ror.org/02yg0nm07","country_code":"PR","type":"education","lineage":["https://openalex.org/I200399037"]}],"countries":["PR"],"is_corresponding":false,"raw_author_name":"Francis N. Castro","raw_affiliation_strings":["Department of Mathematics, University of Puerto Rico, PO Box 70377, San Juan, PR, 00936, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Puerto Rico, PO Box 70377, San Juan, PR, 00936, USA","institution_ids":["https://openalex.org/I200399037"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048105544","display_name":"Luis A. Medina","orcid":"https://orcid.org/0000-0001-5863-1241"},"institutions":[{"id":"https://openalex.org/I200399037","display_name":"University of Puerto Rico System","ror":"https://ror.org/02yg0nm07","country_code":"PR","type":"education","lineage":["https://openalex.org/I200399037"]}],"countries":["PR"],"is_corresponding":false,"raw_author_name":"Luis A. Medina","raw_affiliation_strings":["Department of Mathematics, University of Puerto Rico, PO Box 70377, San Juan, PR, 00936, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Puerto Rico, PO Box 70377, San Juan, PR, 00936, USA","institution_ids":["https://openalex.org/I200399037"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000623639","display_name":"Ivelisse Rubio","orcid":"https://orcid.org/0000-0001-5183-0256"},"institutions":[{"id":"https://openalex.org/I200399037","display_name":"University of Puerto Rico System","ror":"https://ror.org/02yg0nm07","country_code":"PR","type":"education","lineage":["https://openalex.org/I200399037"]}],"countries":["PR"],"is_corresponding":true,"raw_author_name":"Ivelisse M. Rubio","raw_affiliation_strings":["Department of Computer Science, University of Puerto Rico, PO Box 70377, San Juan, PR, 00936, USA"],"raw_orcid":"https://orcid.org/0000-0001-5183-0256","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Puerto Rico, PO Box 70377, San Juan, PR, 00936, USA","institution_ids":["https://openalex.org/I200399037"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000623639"],"corresponding_institution_ids":["https://openalex.org/I200399037"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.2079,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64236641,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":"4","first_page":"655","last_page":"666"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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/T11797","display_name":"graph theory and CDMA systems","score":0.991599977016449,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9889000058174133,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/divisibility-rule","display_name":"Divisibility rule","score":0.8314208388328552},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.7553084492683411},{"id":"https://openalex.org/keywords/coset","display_name":"Coset","score":0.752004861831665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6810978055000305},{"id":"https://openalex.org/keywords/parity-function","display_name":"Parity function","score":0.6293889284133911},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.6280617117881775},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5782430171966553},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.5675808787345886},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.557773768901825},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5198019742965698},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.4767685532569885},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.47601157426834106},{"id":"https://openalex.org/keywords/boolean-network","display_name":"Boolean network","score":0.4385257065296173},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42255303263664246},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.40992027521133423},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37439680099487305},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.19995027780532837},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18833112716674805},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17104655504226685},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.060935258865356445}],"concepts":[{"id":"https://openalex.org/C9991821","wikidata":"https://www.wikidata.org/wiki/Q858520","display_name":"Divisibility rule","level":2,"score":0.8314208388328552},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.7553084492683411},{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.752004861831665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6810978055000305},{"id":"https://openalex.org/C188183281","wikidata":"https://www.wikidata.org/wiki/Q2898309","display_name":"Parity function","level":4,"score":0.6293889284133911},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.6280617117881775},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5782430171966553},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.5675808787345886},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.557773768901825},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5198019742965698},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.4767685532569885},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.47601157426834106},{"id":"https://openalex.org/C134444547","wikidata":"https://www.wikidata.org/wiki/Q585230","display_name":"Boolean network","level":3,"score":0.4385257065296173},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42255303263664246},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.40992027521133423},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37439680099487305},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.19995027780532837},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18833112716674805},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17104655504226685},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.060935258865356445},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/s12095-017-0252-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12095-017-0252-7","pdf_url":null,"source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1588183317","https://openalex.org/W1880399293","https://openalex.org/W1970112329","https://openalex.org/W1988257561","https://openalex.org/W1992772413","https://openalex.org/W2002152112","https://openalex.org/W2008141618","https://openalex.org/W2009454758","https://openalex.org/W2019302705","https://openalex.org/W2038391756","https://openalex.org/W2042520002","https://openalex.org/W2046280773","https://openalex.org/W2064093194","https://openalex.org/W2069025816","https://openalex.org/W2077886255","https://openalex.org/W2101142231","https://openalex.org/W2109302490","https://openalex.org/W2109778774","https://openalex.org/W2124512394","https://openalex.org/W2136039188","https://openalex.org/W2151973746","https://openalex.org/W2152842636","https://openalex.org/W2166436108","https://openalex.org/W2314654153","https://openalex.org/W2594533570","https://openalex.org/W2993645101","https://openalex.org/W4211117064","https://openalex.org/W4298109338"],"related_works":["https://openalex.org/W4210697516","https://openalex.org/W3184123615","https://openalex.org/W4293322515","https://openalex.org/W4287073226","https://openalex.org/W2735569833","https://openalex.org/W1967292023","https://openalex.org/W2495817859","https://openalex.org/W4231391991","https://openalex.org/W3045580795","https://openalex.org/W2746955987"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
