{"id":"https://openalex.org/W3036851818","doi":"https://doi.org/10.1007/s00200-020-00442-y","title":"A new lower bound on the family complexity of Legendre sequences","display_name":"A new lower bound on the family complexity of Legendre sequences","publication_year":2020,"publication_date":"2020-06-22","ids":{"openalex":"https://openalex.org/W3036851818","doi":"https://doi.org/10.1007/s00200-020-00442-y","mag":"3036851818"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-020-00442-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-020-00442-y","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","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/A5086584747","display_name":"Ya\u011fmur \u00c7ak\u0131ro\u011flu","orcid":"https://orcid.org/0000-0003-0869-4230"},"institutions":[{"id":"https://openalex.org/I66514158","display_name":"Hacettepe University","ror":"https://ror.org/04kwvgz42","country_code":"TR","type":"education","lineage":["https://openalex.org/I66514158"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ya\u011fmur \u00c7ak\u0131ro\u011flu","raw_affiliation_strings":["Hacettepe University, Department of Mathematics, Beytepe, 06800, Ankara, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hacettepe University, Department of Mathematics, Beytepe, 06800, Ankara, Turkey","institution_ids":["https://openalex.org/I66514158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016964880","display_name":"O\u011fuz Yayla","orcid":"https://orcid.org/0000-0001-8945-2780"},"institutions":[{"id":"https://openalex.org/I66514158","display_name":"Hacettepe University","ror":"https://ror.org/04kwvgz42","country_code":"TR","type":"education","lineage":["https://openalex.org/I66514158"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"O\u011fuz Yayla","raw_affiliation_strings":["Hacettepe University, Department of Mathematics, Beytepe, 06800, Ankara, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hacettepe University, Department of Mathematics, Beytepe, 06800, Ankara, Turkey","institution_ids":["https://openalex.org/I66514158"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016964880"],"corresponding_institution_ids":["https://openalex.org/I66514158"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.2216,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.56211036,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"33","issue":"2","first_page":"173","last_page":"192"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.8488138914108276},{"id":"https://openalex.org/keywords/legendre-symbol","display_name":"Legendre symbol","score":0.8483129739761353},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.720350980758667},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7145549058914185},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7014281749725342},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.6664064526557922},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5122074484825134},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5005221366882324},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4623355567455292},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4122607111930847},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27082717418670654},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1418006420135498},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06189975142478943},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05847650766372681}],"concepts":[{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.8488138914108276},{"id":"https://openalex.org/C165656649","wikidata":"https://www.wikidata.org/wiki/Q748339","display_name":"Legendre symbol","level":5,"score":0.8483129739761353},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.720350980758667},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7145549058914185},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7014281749725342},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6664064526557922},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5122074484825134},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5005221366882324},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4623355567455292},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4122607111930847},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27082717418670654},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1418006420135498},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06189975142478943},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05847650766372681},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.0},{"id":"https://openalex.org/C95136341","wikidata":"https://www.wikidata.org/wiki/Q625519","display_name":"Quadratic field","level":4,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00200-020-00442-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-020-00442-y","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},{"id":"pmh:oai:https://open.metu.edu.tr:11511/69850","is_oa":false,"landing_page_url":"https://hdl.handle.net/11511/69850","pdf_url":null,"source":{"id":"https://openalex.org/S4306402495","display_name":"OpenMETU (Middle East Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201799495","host_organization_name":"Middle East Technical University","host_organization_lineage":["https://openalex.org/I201799495"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"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":42,"referenced_works":["https://openalex.org/W145145483","https://openalex.org/W851122618","https://openalex.org/W1176406287","https://openalex.org/W1502408552","https://openalex.org/W1505761511","https://openalex.org/W1551926475","https://openalex.org/W1566824875","https://openalex.org/W1660562555","https://openalex.org/W1859386033","https://openalex.org/W1985587200","https://openalex.org/W2000044172","https://openalex.org/W2011725985","https://openalex.org/W2019640796","https://openalex.org/W2031207368","https://openalex.org/W2036626556","https://openalex.org/W2039342917","https://openalex.org/W2043419861","https://openalex.org/W2048469129","https://openalex.org/W2048539947","https://openalex.org/W2051534192","https://openalex.org/W2068728923","https://openalex.org/W2089462456","https://openalex.org/W2094626482","https://openalex.org/W2161169372","https://openalex.org/W2176409128","https://openalex.org/W2176553175","https://openalex.org/W2179849382","https://openalex.org/W2313497592","https://openalex.org/W2407643974","https://openalex.org/W2477064046","https://openalex.org/W2477775364","https://openalex.org/W2618313259","https://openalex.org/W2732251371","https://openalex.org/W2957617864","https://openalex.org/W2962714692","https://openalex.org/W2962769037","https://openalex.org/W4238937109","https://openalex.org/W4239691897","https://openalex.org/W4241467539","https://openalex.org/W4243205024","https://openalex.org/W4289127653","https://openalex.org/W4300580367"],"related_works":["https://openalex.org/W2402427945","https://openalex.org/W2094299806","https://openalex.org/W4378501532","https://openalex.org/W3003772367","https://openalex.org/W3201509458","https://openalex.org/W2011389745","https://openalex.org/W2625950963","https://openalex.org/W2502670417","https://openalex.org/W2810163388","https://openalex.org/W4281690348"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}