{"id":"https://openalex.org/W3045297261","doi":"https://doi.org/10.3390/sym12081202","title":"Pseudo Random Binary Sequence Based on Cyclic Difference Set","display_name":"Pseudo Random Binary Sequence Based on Cyclic Difference Set","publication_year":2020,"publication_date":"2020-07-22","ids":{"openalex":"https://openalex.org/W3045297261","doi":"https://doi.org/10.3390/sym12081202","mag":"3045297261"},"language":"en","primary_location":{"id":"doi:10.3390/sym12081202","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12081202","pdf_url":"https://www.mdpi.com/2073-8994/12/8/1202/pdf?version=1595565518","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/12/8/1202/pdf?version=1595565518","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023978789","display_name":"Md. Selim Al Mamun","orcid":"https://orcid.org/0000-0001-5459-4893"},"institutions":[{"id":"https://openalex.org/I11000651","display_name":"Jatiya Kabi Kazi Nazrul Islam University","ror":"https://ror.org/009kcw598","country_code":"BD","type":"education","lineage":["https://openalex.org/I11000651"]}],"countries":["BD"],"is_corresponding":false,"raw_author_name":"Md. Selim Al Mamun","raw_affiliation_strings":["Department of Computer Science and Engineering, Jatiya Kabi Kazi Nazrul Islam University, Trishal 2224, Bangladesh"],"raw_orcid":"https://orcid.org/0000-0001-5459-4893","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, Jatiya Kabi Kazi Nazrul Islam University, Trishal 2224, Bangladesh","institution_ids":["https://openalex.org/I11000651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032655633","display_name":"Fatema Akhter","orcid":"https://orcid.org/0000-0003-3432-0451"},"institutions":[{"id":"https://openalex.org/I163770644","display_name":"Okayama University","ror":"https://ror.org/02pc6pc55","country_code":"JP","type":"education","lineage":["https://openalex.org/I163770644"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Fatema Akhter","raw_affiliation_strings":["Graduate School of Natural Science and Technology, Okayama University, Okayama 700-8530, Japan"],"raw_orcid":"https://orcid.org/0000-0003-3432-0451","affiliations":[{"raw_affiliation_string":"Graduate School of Natural Science and Technology, Okayama University, Okayama 700-8530, Japan","institution_ids":["https://openalex.org/I163770644"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032655633"],"corresponding_institution_ids":["https://openalex.org/I163770644"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":0.2885,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.54487923,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"12","issue":"8","first_page":"1202","last_page":"1202"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":1.0,"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/T11130","display_name":"Coding theory and cryptography","score":0.9993000030517578,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.8303549885749817},{"id":"https://openalex.org/keywords/pseudorandom-binary-sequence","display_name":"Pseudorandom binary sequence","score":0.7321661710739136},{"id":"https://openalex.org/keywords/randomness-tests","display_name":"Randomness tests","score":0.7248377799987793},{"id":"https://openalex.org/keywords/nist","display_name":"NIST","score":0.7243248224258423},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6006777286529541},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5790421962738037},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5254788994789124},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5221931338310242},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5027289390563965},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.49920654296875},{"id":"https://openalex.org/keywords/test-suite","display_name":"Test suite","score":0.4614516496658325},{"id":"https://openalex.org/keywords/random-sequence","display_name":"Random sequence","score":0.4588821828365326},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4440738260746002},{"id":"https://openalex.org/keywords/quadratic-residue","display_name":"Quadratic residue","score":0.42096754908561707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40120774507522583},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37998461723327637},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1635897159576416},{"id":"https://openalex.org/keywords/test-case","display_name":"Test case","score":0.13374266028404236},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11505740880966187},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.11491775512695312}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.8303549885749817},{"id":"https://openalex.org/C128040838","wikidata":"https://www.wikidata.org/wiki/Q1810628","display_name":"Pseudorandom binary sequence","level":3,"score":0.7321661710739136},{"id":"https://openalex.org/C18017163","wikidata":"https://www.wikidata.org/wiki/Q13560113","display_name":"Randomness tests","level":3,"score":0.7248377799987793},{"id":"https://openalex.org/C111219384","wikidata":"https://www.wikidata.org/wiki/Q6954384","display_name":"NIST","level":2,"score":0.7243248224258423},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6006777286529541},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5790421962738037},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5254788994789124},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5221931338310242},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5027289390563965},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.49920654296875},{"id":"https://openalex.org/C151552104","wikidata":"https://www.wikidata.org/wiki/Q7705809","display_name":"Test suite","level":4,"score":0.4614516496658325},{"id":"https://openalex.org/C186515451","wikidata":"https://www.wikidata.org/wiki/Q228191","display_name":"Random sequence","level":3,"score":0.4588821828365326},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4440738260746002},{"id":"https://openalex.org/C12817185","wikidata":"https://www.wikidata.org/wiki/Q878259","display_name":"Quadratic residue","level":2,"score":0.42096754908561707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40120774507522583},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37998461723327637},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1635897159576416},{"id":"https://openalex.org/C128942645","wikidata":"https://www.wikidata.org/wiki/Q1568346","display_name":"Test case","level":3,"score":0.13374266028404236},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11505740880966187},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.11491775512695312},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","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/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym12081202","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12081202","pdf_url":"https://www.mdpi.com/2073-8994/12/8/1202/pdf?version=1595565518","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b94128ed15b44c1599fef9d09ea878ee","is_oa":true,"landing_page_url":"https://doaj.org/article/b94128ed15b44c1599fef9d09ea878ee","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 12, Iss 8, p 1202 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/12/8/1202/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym12081202","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry; Volume 12; Issue 8; Pages: 1202","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym12081202","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym12081202","pdf_url":"https://www.mdpi.com/2073-8994/12/8/1202/pdf?version=1595565518","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3045297261.pdf","grobid_xml":"https://content.openalex.org/works/W3045297261.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W167799009","https://openalex.org/W1517403092","https://openalex.org/W1542915664","https://openalex.org/W1568276820","https://openalex.org/W1976634091","https://openalex.org/W1984386576","https://openalex.org/W1990773884","https://openalex.org/W1990774234","https://openalex.org/W2031167130","https://openalex.org/W2031207368","https://openalex.org/W2045472568","https://openalex.org/W2055534243","https://openalex.org/W2066315236","https://openalex.org/W2071547041","https://openalex.org/W2108998869","https://openalex.org/W2131464602","https://openalex.org/W2143798392","https://openalex.org/W2160948516","https://openalex.org/W2162442687","https://openalex.org/W2165513044","https://openalex.org/W2170334586","https://openalex.org/W2214040503","https://openalex.org/W2278852559","https://openalex.org/W2463494768","https://openalex.org/W2516950210","https://openalex.org/W2574539584","https://openalex.org/W2610460853","https://openalex.org/W2612854510","https://openalex.org/W2733243877","https://openalex.org/W2744084275","https://openalex.org/W2752853835","https://openalex.org/W2763209083","https://openalex.org/W2917007133","https://openalex.org/W2963774021","https://openalex.org/W3000289675","https://openalex.org/W3016464939","https://openalex.org/W4230398518","https://openalex.org/W4243494487","https://openalex.org/W6633907081"],"related_works":["https://openalex.org/W117278403","https://openalex.org/W51904573","https://openalex.org/W2004458747","https://openalex.org/W2356714861","https://openalex.org/W2248660019","https://openalex.org/W2729338963","https://openalex.org/W3045297261","https://openalex.org/W2727440374","https://openalex.org/W2316835829","https://openalex.org/W2080768138"],"abstract_inverted_index":{"With":[0],"the":[1,36,40,75,151,177,201,236],"increasing":[2],"reliance":[3],"on":[4],"technology,":[5],"it":[6],"has":[7,115,239],"become":[8],"crucial":[9],"to":[10,96,129,139],"secure":[11],"every":[12],"aspect":[13],"of":[14,31,42,74,88,98,106,148,150,157,185,203,217,228],"online":[15],"information":[16],"where":[17],"pseudo":[18],"random":[19],"binary":[20],"sequences":[21,128,214,227],"(PRBS)":[22],"can":[23],"play":[24],"an":[25],"important":[26],"role":[27],"in":[28,35,72,110,132,146,195,215,219],"today\u2019s":[29],"world":[30],"Internet.":[32],"PRBS":[33,53],"work":[34],"fundamental":[37],"mathematics":[38],"behind":[39],"security":[41,60,133],"different":[43,229],"protocols":[44],"and":[45,77,83,108,119,142,188,223],"cryptographic":[46,241],"applications.":[47,61,134],"This":[48],"paper":[49],"proposes":[50],"a":[51,93],"new":[52],"namely":[54],"MK":[55,153,205],"(Mamun,":[56],"Kumu)":[57],"sequence":[58,63,100,114,159,179,206,238],"for":[59,127,226],"Proposed":[62],"is":[64,160,180,207],"generated":[65],"by":[66,79,162,183,209],"primitive":[67],"polynomial,":[68],"cyclic":[69,89],"difference":[70,90],"set":[71,91],"elements":[73],"field":[76],"binarized":[78],"quadratic":[80,84],"residue":[81],"(QR)":[82],"nonresidue":[85],"(QNR).":[86],"Introduction":[87],"makes":[92],"special":[94],"contribution":[95],"randomness":[97,141,156],"proposed":[99,113,152,158,178,204,237],"while":[101],"QR/QNR-based":[102],"binarization":[103],"ensures":[104],"uniformity":[105,218],"zeros":[107],"ones":[109],"sequence.":[111,154],"Besides,":[112],"maximum":[116],"cycle":[117],"length":[118],"high":[120],"linear":[121,224],"complexity":[122,225],"which":[123],"are":[124,137,144],"required":[125],"properties":[126,242],"be":[130],"used":[131],"Several":[135],"experiments":[136],"conducted":[138],"verify":[140],"results":[143,174,233],"presented":[145],"support":[147],"robustness":[149],"The":[155,172,231],"evaluated":[161],"popular":[163,213],"statistical":[164,192],"test":[165,173],"suite,":[166],"i.e.,":[167],"NIST":[168,196],"STS":[169,197],"800-22":[170,198],"package.":[171],"confirmed":[175],"that":[176,235],"not":[181],"affected":[182],"approximations":[184],"any":[186],"kind":[187],"successfully":[189],"passed":[190],"all":[191],"tests":[193],"defined":[194],"suite.":[199],"Finally,":[200],"efficiency":[202],"verified":[208],"comparing":[210],"with":[211],"some":[212],"terms":[216],"bit":[220],"pattern":[221],"distribution":[222],"length.":[230],"experimental":[232],"validate":[234],"superior":[240],"than":[243],"existing":[244],"ones.":[245]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2020-07-29T00:00:00"}