{"id":"https://openalex.org/W2916614226","doi":"https://doi.org/10.1142/s1793830919500265","title":"The generalized relations among the code elements for a new complex Fibonacci matrix","display_name":"The generalized relations among the code elements for a new complex Fibonacci matrix","publication_year":2019,"publication_date":"2019-02-17","ids":{"openalex":"https://openalex.org/W2916614226","doi":"https://doi.org/10.1142/s1793830919500265","mag":"2916614226"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830919500265","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500265","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5021778220","display_name":"Bandhu Prasad","orcid":"https://orcid.org/0000-0002-0439-8146"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bandhu Prasad","raw_affiliation_strings":["Department of Mathematics, Kandi Raj College, Kandi \u2013 742137, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kandi Raj College, Kandi \u2013 742137, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021778220"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2896,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.51509972,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"11","issue":"02","first_page":"1950026","last_page":"1950026"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9448000192642212,"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"}},{"id":"https://openalex.org/T11887","display_name":"Quasicrystal Structures and Properties","score":0.9330999851226807,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fibonacci-number","display_name":"Fibonacci number","score":0.9630655646324158},{"id":"https://openalex.org/keywords/fibonacci-polynomials","display_name":"Fibonacci polynomials","score":0.6253256797790527},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.518735945224762},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5148343443870544},{"id":"https://openalex.org/keywords/parity-check-matrix","display_name":"Parity-check matrix","score":0.4940231442451477},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.470941424369812},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.47005972266197205},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44667574763298035},{"id":"https://openalex.org/keywords/complex-matrix","display_name":"Complex matrix","score":0.43594419956207275},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41575291752815247},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3735445737838745},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3402107059955597},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.32248201966285706},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31867146492004395},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29429739713668823},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23397991061210632},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.19984087347984314},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11217570304870605}],"concepts":[{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.9630655646324158},{"id":"https://openalex.org/C79117305","wikidata":"https://www.wikidata.org/wiki/Q974295","display_name":"Fibonacci polynomials","level":4,"score":0.6253256797790527},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.518735945224762},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5148343443870544},{"id":"https://openalex.org/C95925971","wikidata":"https://www.wikidata.org/wiki/Q3100414","display_name":"Parity-check matrix","level":4,"score":0.4940231442451477},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.470941424369812},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.47005972266197205},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44667574763298035},{"id":"https://openalex.org/C2988629283","wikidata":"https://www.wikidata.org/wiki/Q44337","display_name":"Complex matrix","level":2,"score":0.43594419956207275},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41575291752815247},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3735445737838745},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3402107059955597},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32248201966285706},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31867146492004395},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29429739713668823},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23397991061210632},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.19984087347984314},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11217570304870605},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","level":1,"score":0.0},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830919500265","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830919500265","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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":7,"referenced_works":["https://openalex.org/W2003164853","https://openalex.org/W2019073482","https://openalex.org/W2030891796","https://openalex.org/W2079415843","https://openalex.org/W2086670209","https://openalex.org/W2123904937","https://openalex.org/W2172116884"],"related_works":["https://openalex.org/W2601873326","https://openalex.org/W2164636225","https://openalex.org/W2089601869","https://openalex.org/W2553814308","https://openalex.org/W2002698978","https://openalex.org/W2064332477","https://openalex.org/W2612005655","https://openalex.org/W3088539718","https://openalex.org/W3011914617","https://openalex.org/W2015545432"],"abstract_inverted_index":{"In":[0],"this":[1,30,51],"paper,":[2],"we":[3,20],"introduce":[4],"a":[5,22],"new":[6,23],"complex":[7,16,31],"Fibonacci":[8,17,32],"matrix":[9,33,44],"[Formula:":[10,34],"see":[11,35],"text]":[12],"whose":[13],"elements":[14],"are":[15],"numbers":[18],"and":[19,25,48],"developed":[21],"coding":[24,52],"decoding":[26],"method":[27],"followed":[28],"from":[29],"text].":[36],"We":[37],"establish":[38],"the":[39,42],"relations":[40],"among":[41],"code":[43],"elements,":[45],"error":[46],"detection":[47],"correction":[49],"for":[50],"theory.":[53]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}