{"id":"https://openalex.org/W2811101801","doi":"https://doi.org/10.1007/s11786-018-0348-2","title":"Smoothness Test for Polynomials Defined Over Small Characteristic Finite Fields","display_name":"Smoothness Test for Polynomials Defined Over Small Characteristic Finite Fields","publication_year":2018,"publication_date":"2018-06-27","ids":{"openalex":"https://openalex.org/W2811101801","doi":"https://doi.org/10.1007/s11786-018-0348-2","mag":"2811101801"},"language":"en","primary_location":{"id":"doi:10.1007/s11786-018-0348-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-018-0348-2","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"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":"Mathematics in Computer Science","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/A5080410163","display_name":"Gora Adj","orcid":"https://orcid.org/0000-0002-9308-1510"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Gora Adj","raw_affiliation_strings":["Computer Science Department, CINVESTAV-IPN, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, CINVESTAV-IPN, Mexico City, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044825810","display_name":"Isaac Canales-Mart\u00ednez","orcid":null},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Isaac Canales-Mart\u00ednez","raw_affiliation_strings":["Computer Science Department, CINVESTAV-IPN, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, CINVESTAV-IPN, Mexico City, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068129316","display_name":"Luis Rivera-Zamarripa","orcid":"https://orcid.org/0000-0002-1779-421X"},"institutions":[{"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":"Luis Rivera-Zamarripa","raw_affiliation_strings":["Centro de Investigaci\u00f3n en Computaci\u00f3n del Instituto Polit\u00e9cnico Nacional CIC-IPN, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro de Investigaci\u00f3n en Computaci\u00f3n del Instituto Polit\u00e9cnico Nacional CIC-IPN, Mexico City, Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068036569","display_name":"Francisco Rodr\u00edguez\u2010Henr\u00edquez","orcid":"https://orcid.org/0000-0002-5916-6625"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Francisco Rodr\u00edguez-Henr\u00edquez","raw_affiliation_strings":["Computer Science Department, CINVESTAV-IPN, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, CINVESTAV-IPN, Mexico City, Mexico","institution_ids":["https://openalex.org/I68368234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080410163"],"corresponding_institution_ids":["https://openalex.org/I68368234"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07871266,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"3","first_page":"319","last_page":"337"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9980999827384949,"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"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9950000047683716,"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/finite-field","display_name":"Finite field","score":0.7907086610794067},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7492880821228027},{"id":"https://openalex.org/keywords/smoothness","display_name":"Smoothness","score":0.7045450210571289},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.60566645860672},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.6033351421356201},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5208385586738586},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46101346611976624},{"id":"https://openalex.org/keywords/discrete-logarithm","display_name":"Discrete logarithm","score":0.4604395627975464},{"id":"https://openalex.org/keywords/difference-polynomials","display_name":"Difference polynomials","score":0.4397924542427063},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.42195069789886475},{"id":"https://openalex.org/keywords/polynomial-ring","display_name":"Polynomial ring","score":0.4172464609146118},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38098451495170593},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3652510643005371},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.33467820286750793},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28010302782058716},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.147566556930542},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13867488503456116},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.1348043978214264}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7907086610794067},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7492880821228027},{"id":"https://openalex.org/C102634674","wikidata":"https://www.wikidata.org/wiki/Q868473","display_name":"Smoothness","level":2,"score":0.7045450210571289},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.60566645860672},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.6033351421356201},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5208385586738586},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46101346611976624},{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.4604395627975464},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.4397924542427063},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.42195069789886475},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.4172464609146118},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38098451495170593},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3652510643005371},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.33467820286750793},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28010302782058716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.147566556930542},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13867488503456116},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.1348043978214264},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11786-018-0348-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11786-018-0348-2","pdf_url":null,"source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"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":"Mathematics in Computer Science","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":18,"referenced_works":["https://openalex.org/W61549430","https://openalex.org/W88444553","https://openalex.org/W1491152510","https://openalex.org/W1539286613","https://openalex.org/W1590338406","https://openalex.org/W1649758727","https://openalex.org/W1773872090","https://openalex.org/W2018928894","https://openalex.org/W2088091599","https://openalex.org/W2091260227","https://openalex.org/W2120749565","https://openalex.org/W2477064046","https://openalex.org/W2477775364","https://openalex.org/W2949889780","https://openalex.org/W2952227804","https://openalex.org/W3031358957","https://openalex.org/W4205630623","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2092213221","https://openalex.org/W3157628140","https://openalex.org/W2079728534","https://openalex.org/W897497615","https://openalex.org/W2053644744","https://openalex.org/W2050184610","https://openalex.org/W2964145023","https://openalex.org/W2811101801","https://openalex.org/W2950265182","https://openalex.org/W2067297841"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}