{"id":"https://openalex.org/W4378740574","doi":"https://doi.org/10.1587/transfun.2023sdi0001","title":"Pseudorandom Binary Sequences: Quality Measures and Number-Theoretic Constructions","display_name":"Pseudorandom Binary Sequences: Quality Measures and Number-Theoretic Constructions","publication_year":2023,"publication_date":"2023-05-30","ids":{"openalex":"https://openalex.org/W4378740574","doi":"https://doi.org/10.1587/transfun.2023sdi0001"},"language":"en","primary_location":{"id":"doi:10.1587/transfun.2023sdi0001","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transfun.2023sdi0001","pdf_url":"https://www.jstage.jst.go.jp/article/transfun/E106.A/12/E106.A_2023SDI0001/_pdf","source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.jstage.jst.go.jp/article/transfun/E106.A/12/E106.A_2023SDI0001/_pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056642780","display_name":"Arne Winterhof","orcid":"https://orcid.org/0000-0002-3863-1110"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Arne WINTERHOF","raw_affiliation_strings":["Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences","institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056642780"],"corresponding_institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"],"apc_list":null,"apc_paid":null,"fwci":0.9229,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.78759594,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"E106.A","issue":"12","first_page":"1452","last_page":"1460"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.982699990272522,"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":0.982699990272522,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.977400004863739,"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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9700000286102295,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pseudorandomness","display_name":"Pseudorandomness","score":0.9650543928146362},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.754947304725647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7349764108657837},{"id":"https://openalex.org/keywords/pseudorandom-binary-sequence","display_name":"Pseudorandom binary sequence","score":0.7101069092750549},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.702703595161438},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6922329068183899},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5520928502082825},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5389301180839539},{"id":"https://openalex.org/keywords/legendre-symbol","display_name":"Legendre symbol","score":0.49828672409057617},{"id":"https://openalex.org/keywords/prime-number","display_name":"Prime number","score":0.47013789415359497},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4334380626678467},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.3918415307998657},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.284116268157959},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1711674928665161},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1334618628025055}],"concepts":[{"id":"https://openalex.org/C19086982","wikidata":"https://www.wikidata.org/wiki/Q2115856","display_name":"Pseudorandomness","level":3,"score":0.9650543928146362},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.754947304725647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7349764108657837},{"id":"https://openalex.org/C128040838","wikidata":"https://www.wikidata.org/wiki/Q1810628","display_name":"Pseudorandom binary sequence","level":3,"score":0.7101069092750549},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.702703595161438},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6922329068183899},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5520928502082825},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5389301180839539},{"id":"https://openalex.org/C165656649","wikidata":"https://www.wikidata.org/wiki/Q748339","display_name":"Legendre symbol","level":5,"score":0.49828672409057617},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.47013789415359497},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4334380626678467},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.3918415307998657},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.284116268157959},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1711674928665161},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1334618628025055},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"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/C95136341","wikidata":"https://www.wikidata.org/wiki/Q625519","display_name":"Quadratic field","level":4,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/transfun.2023sdi0001","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transfun.2023sdi0001","pdf_url":"https://www.jstage.jst.go.jp/article/transfun/E106.A/12/E106.A_2023SDI0001/_pdf","source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1587/transfun.2023sdi0001","is_oa":true,"landing_page_url":"https://doi.org/10.1587/transfun.2023sdi0001","pdf_url":"https://www.jstage.jst.go.jp/article/transfun/E106.A/12/E106.A_2023SDI0001/_pdf","source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4378740574.pdf"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W48952935","https://openalex.org/W145145483","https://openalex.org/W306569724","https://openalex.org/W1512922533","https://openalex.org/W1515061872","https://openalex.org/W1519692838","https://openalex.org/W1635163887","https://openalex.org/W1971057901","https://openalex.org/W1979902210","https://openalex.org/W1985019058","https://openalex.org/W1989406345","https://openalex.org/W2003906679","https://openalex.org/W2008830858","https://openalex.org/W2031207368","https://openalex.org/W2044518158","https://openalex.org/W2048539947","https://openalex.org/W2072930281","https://openalex.org/W2103355166","https://openalex.org/W2104430950","https://openalex.org/W2106703185","https://openalex.org/W2149345169","https://openalex.org/W2158323623","https://openalex.org/W2162442687","https://openalex.org/W2163751669","https://openalex.org/W2164050649","https://openalex.org/W2164135836","https://openalex.org/W2331404011","https://openalex.org/W2419676999","https://openalex.org/W2475504700","https://openalex.org/W2485820268","https://openalex.org/W2572705454","https://openalex.org/W2587980959","https://openalex.org/W2589941777","https://openalex.org/W2618313259","https://openalex.org/W2742251634","https://openalex.org/W2791711316","https://openalex.org/W2890529019","https://openalex.org/W2898526269","https://openalex.org/W2909309548","https://openalex.org/W2962853512","https://openalex.org/W2962964631","https://openalex.org/W2964219423","https://openalex.org/W2971524145","https://openalex.org/W2971669121","https://openalex.org/W3033043605","https://openalex.org/W3103347853","https://openalex.org/W3105929552","https://openalex.org/W3106061703","https://openalex.org/W3120380919","https://openalex.org/W3162399915","https://openalex.org/W4200073431","https://openalex.org/W4239691897","https://openalex.org/W4241271931","https://openalex.org/W4321015079"],"related_works":["https://openalex.org/W2343905204","https://openalex.org/W34168253","https://openalex.org/W2064782508","https://openalex.org/W2019461883","https://openalex.org/W2031692310","https://openalex.org/W2053145155","https://openalex.org/W2051534192","https://openalex.org/W2039342917","https://openalex.org/W1979902210","https://openalex.org/W1974101933"],"abstract_inverted_index":{"In":[0],"this":[1],"survey":[2],"we":[3],"summarize":[4],"properties":[5],"of":[6,10,24,31],"pseudorandomness":[7],"and":[8,14,36,46,53,58,65],"non-randomness":[9],"some":[11],"number-theoretic":[12,40],"sequences":[13,41,62],"present":[15],"results":[16],"on":[17],"their":[18],"behaviour":[19],"under":[20],"the":[21,43,47,50,59],"following":[22],"measures":[23],"pseudorandomness:":[25],"balance,":[26],"linear":[27],"complexity,":[28],"correlation":[29],"measure":[30],"order":[32],"k,":[33],"expansion":[34],"complexity":[35],"2-adic":[37],"complexity.":[38],"The":[39],"are":[42],"Legendre":[44],"sequence":[45,52],"two-prime":[48],"generator,":[49],"Thue-Morse":[51],"its":[54],"sub-sequence":[55],"along":[56],"squares,":[57],"prime":[60],"omega":[61],"for":[63],"integers":[64],"polynomials.":[66]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}