{"id":"https://openalex.org/W1785550107","doi":"https://doi.org/10.3233/fi-2012-630","title":"Remarks on Pseudorandom Binary Sequences Over Elliptic Curves","display_name":"Remarks on Pseudorandom Binary Sequences Over Elliptic Curves","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1785550107","doi":"https://doi.org/10.3233/fi-2012-630","mag":"1785550107"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2012-630","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2012-630","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5037793363","display_name":"L\u00e1szl\u00f3 M\u00e9rai","orcid":"https://orcid.org/0000-0002-0437-7855"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"L\u00e1szl\u00f3 M\u00e9rai","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Budapest, Pf. 127, H-1364 Hungary. merai@cs.elte.hu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Budapest, Pf. 127, H-1364 Hungary. merai@cs.elte.hu","institution_ids":["https://openalex.org/I127817813"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037793363"],"corresponding_institution_ids":["https://openalex.org/I127817813"],"apc_list":null,"apc_paid":null,"fwci":1.3286,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.82749379,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"114","issue":"3-4","first_page":"301","last_page":"308"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9979000091552734,"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":0.9979000091552734,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9914000034332275,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9901000261306763,"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/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.8113596439361572},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6284283399581909},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5625463724136353},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5162782073020935},{"id":"https://openalex.org/keywords/schoofs-algorithm","display_name":"Schoof's algorithm","score":0.4935837984085083},{"id":"https://openalex.org/keywords/supersingular-elliptic-curve","display_name":"Supersingular elliptic curve","score":0.4838946759700775},{"id":"https://openalex.org/keywords/edwards-curve","display_name":"Edwards curve","score":0.47105643153190613},{"id":"https://openalex.org/keywords/pseudorandom-binary-sequence","display_name":"Pseudorandom binary sequence","score":0.44391611218452454},{"id":"https://openalex.org/keywords/elliptic-curve-point-multiplication","display_name":"Elliptic curve point multiplication","score":0.4189295172691345},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3302925229072571},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.28875651955604553},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24198850989341736},{"id":"https://openalex.org/keywords/quarter-period","display_name":"Quarter period","score":0.0954521894454956}],"concepts":[{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.8113596439361572},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6284283399581909},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5625463724136353},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5162782073020935},{"id":"https://openalex.org/C121444067","wikidata":"https://www.wikidata.org/wiki/Q2835817","display_name":"Schoof's algorithm","level":4,"score":0.4935837984085083},{"id":"https://openalex.org/C157567686","wikidata":"https://www.wikidata.org/wiki/Q7644139","display_name":"Supersingular elliptic curve","level":3,"score":0.4838946759700775},{"id":"https://openalex.org/C92727272","wikidata":"https://www.wikidata.org/wiki/Q3001190","display_name":"Edwards curve","level":5,"score":0.47105643153190613},{"id":"https://openalex.org/C128040838","wikidata":"https://www.wikidata.org/wiki/Q1810628","display_name":"Pseudorandom binary sequence","level":3,"score":0.44391611218452454},{"id":"https://openalex.org/C117121985","wikidata":"https://www.wikidata.org/wiki/Q78380999","display_name":"Elliptic curve point multiplication","level":3,"score":0.4189295172691345},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3302925229072571},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.28875651955604553},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24198850989341736},{"id":"https://openalex.org/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"score":0.0954521894454956}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2012-630","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2012-630","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/1","display_name":"No poverty"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W145145483","https://openalex.org/W645185567","https://openalex.org/W1486898453","https://openalex.org/W1493424669","https://openalex.org/W1507994869","https://openalex.org/W1536961397","https://openalex.org/W1537812362","https://openalex.org/W1545473754","https://openalex.org/W1550022252","https://openalex.org/W1592482282","https://openalex.org/W1660562555","https://openalex.org/W1969988659","https://openalex.org/W2011389745","https://openalex.org/W2018624813","https://openalex.org/W2051534192","https://openalex.org/W2071401724","https://openalex.org/W2104430950","https://openalex.org/W2403499203","https://openalex.org/W2464722507","https://openalex.org/W2600517928","https://openalex.org/W3209848581","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3138493780","https://openalex.org/W2548082687","https://openalex.org/W2121110380","https://openalex.org/W3211097549","https://openalex.org/W2348491713","https://openalex.org/W2559355736","https://openalex.org/W1546865581","https://openalex.org/W2071707911","https://openalex.org/W28923676","https://openalex.org/W2336533864"],"abstract_inverted_index":{"In":[0],"the":[1,3,16,28,32],"paper":[2,24],"pseudorandomness":[4],"of":[5],"binary":[6],"sequences":[7],"defined":[8],"over":[9],"elliptic":[10],"curves":[11],"is":[12,25],"studied":[13],"and":[14,18,31],"both":[15],"well-distribution":[17],"correlation":[19],"measures":[20],"are":[21],"estimated.":[22],"The":[23],"based":[26],"on":[27],"Kohel-Shparlinski":[29],"bound":[30],"Erd\u00f6s-Tur\u00e1n-Koksma":[33],"inequali":[34]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-02T06:04:40.494371","created_date":"2025-10-10T00:00:00"}