{"id":"https://openalex.org/W4318475637","doi":"https://doi.org/10.3390/e25020239","title":"DNA Code from Cyclic and Skew Cyclic Codes over F4[v]/\u27e8v3\u27e9","display_name":"DNA Code from Cyclic and Skew Cyclic Codes over F4[v]/\u27e8v3\u27e9","publication_year":2023,"publication_date":"2023-01-28","ids":{"openalex":"https://openalex.org/W4318475637","doi":"https://doi.org/10.3390/e25020239","pmid":"https://pubmed.ncbi.nlm.nih.gov/36832606"},"language":"en","primary_location":{"id":"doi:10.3390/e25020239","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25020239","pdf_url":"https://www.mdpi.com/1099-4300/25/2/239/pdf?version=1674892676","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"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":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/25/2/239/pdf?version=1674892676","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065837828","display_name":"Om Prakash","orcid":"https://orcid.org/0000-0002-6512-4229"},"institutions":[{"id":"https://openalex.org/I132153292","display_name":"Indian Institute of Technology Patna","ror":"https://ror.org/01ft5vz71","country_code":"IN","type":"education","lineage":["https://openalex.org/I132153292"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Om Prakash","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Patna, Bihar 801106, India"],"raw_orcid":"https://orcid.org/0000-0002-6512-4229","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Patna, Bihar 801106, India","institution_ids":["https://openalex.org/I132153292"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032941262","display_name":"Ashutosh Singh","orcid":"https://orcid.org/0000-0001-9260-8344"},"institutions":[{"id":"https://openalex.org/I132153292","display_name":"Indian Institute of Technology Patna","ror":"https://ror.org/01ft5vz71","country_code":"IN","type":"education","lineage":["https://openalex.org/I132153292"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ashutosh Singh","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Patna, Bihar 801106, India"],"raw_orcid":"https://orcid.org/0000-0001-9260-8344","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Patna, Bihar 801106, India","institution_ids":["https://openalex.org/I132153292"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024250720","display_name":"Ram Krishna Verma","orcid":"https://orcid.org/0000-0002-8595-2400"},"institutions":[{"id":"https://openalex.org/I145286018","display_name":"SRM Institute of Science and Technology","ror":"https://ror.org/050113w36","country_code":"IN","type":"education","lineage":["https://openalex.org/I145286018"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Ram Krishna Verma","raw_affiliation_strings":["Department of Mathematics, SRM Institute of Science and Technology, Delhi-NCR Campus, Ghaziabad 201204, India"],"raw_orcid":"https://orcid.org/0000-0002-8595-2400","affiliations":[{"raw_affiliation_string":"Department of Mathematics, SRM Institute of Science and Technology, Delhi-NCR Campus, Ghaziabad 201204, India","institution_ids":["https://openalex.org/I145286018"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024873890","display_name":"Patrick Sol\u00e9","orcid":"https://orcid.org/0000-0002-4078-8301"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"id":"https://openalex.org/I4210142724","display_name":"Centrale Marseille","ror":"https://ror.org/040baw385","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210142724"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Patrick Sol\u00e9","raw_affiliation_strings":["I2M, (CNRS, Aix-Marseille University, Centrale Marseille), 13009 Marseilles, France"],"raw_orcid":"https://orcid.org/0000-0002-4078-8301","affiliations":[{"raw_affiliation_string":"I2M, (CNRS, Aix-Marseille University, Centrale Marseille), 13009 Marseilles, France","institution_ids":["https://openalex.org/I4210142724","https://openalex.org/I4210160189","https://openalex.org/I1294671590","https://openalex.org/I21491767"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004072464","display_name":"Wei Cheng","orcid":"https://orcid.org/0000-0001-9433-7576"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210165912","display_name":"Laboratoire Traitement et Communication de l\u2019Information","ror":"https://ror.org/057er4c39","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102","https://openalex.org/I4210165912"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Wei Cheng","raw_affiliation_strings":["LTCI, T\u00e9l\u00e9com Paris (IP Paris), 19 Place Marguerite Perey, 91120 Palaiseau, France","Secure-IC S.A.S., 104 Boulevard du Montparnasse, 75014 Paris, France"],"raw_orcid":"https://orcid.org/0000-0001-9433-7576","affiliations":[{"raw_affiliation_string":"LTCI, T\u00e9l\u00e9com Paris (IP Paris), 19 Place Marguerite Perey, 91120 Palaiseau, France","institution_ids":["https://openalex.org/I4210165912","https://openalex.org/I12356871"]},{"raw_affiliation_string":"Secure-IC S.A.S., 104 Boulevard du Montparnasse, 75014 Paris, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5024873890"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210142724","https://openalex.org/I4210160189"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.1105,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89331755,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"25","issue":"2","first_page":"239","last_page":"239"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T12029","display_name":"DNA and Biological Computing","score":0.9965000152587891,"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/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9819999933242798,"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/skew","display_name":"Skew","score":0.7502528429031372},{"id":"https://openalex.org/keywords/cyclic-code","display_name":"Cyclic code","score":0.6446391940116882},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.6307359933853149},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.6104917526245117},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42026636004447937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36059439182281494},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.3521006107330322},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3281916677951813},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32734590768814087},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.30441898107528687},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2988213896751404},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.06920433044433594}],"concepts":[{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.7502528429031372},{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.6446391940116882},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.6307359933853149},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.6104917526245117},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42026636004447937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36059439182281494},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.3521006107330322},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3281916677951813},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32734590768814087},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.30441898107528687},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2988213896751404},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06920433044433594},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.3390/e25020239","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25020239","pdf_url":"https://www.mdpi.com/1099-4300/25/2/239/pdf?version=1674892676","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"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":"Entropy","raw_type":"journal-article"},{"id":"pmid:36832606","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36832606","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:HAL:hal-03946495v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03946495","pdf_url":"https://hal.science/hal-03946495/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, 2023, ⟨10.3390/e25020239⟩","raw_type":"Journal articles"},{"id":"pmh:oai:HAL:hal-04421750v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04421750","pdf_url":"https://hal.science/hal-04421750/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, 2023, 25 (2), pp.239. ⟨10.3390/e25020239⟩","raw_type":"Journal articles"},{"id":"pmh:oai:pubmedcentral.nih.gov:9954914","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9954914","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC9954914/pdf/entropy-25-00239.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:9e5506692a0f4c5fa52382bcac3a587e","is_oa":true,"landing_page_url":"https://doaj.org/article/9e5506692a0f4c5fa52382bcac3a587e","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":"Entropy, Vol 25, Iss 2, p 239 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/25/2/239/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e25020239","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":"Entropy; Volume 25; Issue 2; Pages: 239","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e25020239","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25020239","pdf_url":"https://www.mdpi.com/1099-4300/25/2/239/pdf?version=1674892676","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"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":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G156724858","display_name":null,"funder_award_id":"vide Diary No. SERB/F/6780/ 2020-2021 dated 31 December","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"},{"id":"https://openalex.org/G3846380602","display_name":null,"funder_award_id":"CRG/2020/005927","funder_id":"https://openalex.org/F4320320719","funder_display_name":"Department of Science and Technology, Ministry of Science and Technology, India"}],"funders":[{"id":"https://openalex.org/F4320319144","display_name":"Indian Institute of Technology, Patna","ror":"https://ror.org/01ft5vz71"},{"id":"https://openalex.org/F4320320719","display_name":"Department of Science and Technology, Ministry of Science and Technology, India","ror":"https://ror.org/0101xrq71"},{"id":"https://openalex.org/F4320334771","display_name":"Science and Engineering Research Board","ror":"https://ror.org/03ffdsr55"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4318475637.pdf","grobid_xml":"https://content.openalex.org/works/W4318475637.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W44728899","https://openalex.org/W135474498","https://openalex.org/W1760096751","https://openalex.org/W1976677460","https://openalex.org/W1977312644","https://openalex.org/W2031448371","https://openalex.org/W2038681062","https://openalex.org/W2085147719","https://openalex.org/W2108964585","https://openalex.org/W2160607895","https://openalex.org/W2234898970","https://openalex.org/W2587975760","https://openalex.org/W2604945043","https://openalex.org/W2963945674","https://openalex.org/W2966696183","https://openalex.org/W3018086394","https://openalex.org/W3124328350","https://openalex.org/W3199977938","https://openalex.org/W4248289108","https://openalex.org/W4288479373","https://openalex.org/W6658097286","https://openalex.org/W6840905142"],"related_works":["https://openalex.org/W2460434904","https://openalex.org/W4246934899","https://openalex.org/W2004966708","https://openalex.org/W2157171589","https://openalex.org/W2111330432","https://openalex.org/W2057936276","https://openalex.org/W1607153847","https://openalex.org/W43044209","https://openalex.org/W2740543340","https://openalex.org/W1557234699"],"abstract_inverted_index":{"The":[0],"main":[1],"motivation":[2],"of":[3,16,28,49,65,92],"this":[4,56],"work":[5],"is":[6],"to":[7],"study":[8,60],"and":[9,13,30,46,62,88],"obtain":[10],"some":[11],"reversible":[12,61],"DNA":[14,63,71],"codes":[15,33,64,72],"length":[17,66],"n":[18],"with":[19],"better":[20],"parameters.":[21],"Here,":[22],"we":[23,59],"first":[24],"investigate":[25],"the":[26,35,44,47,86,89],"structure":[27],"cyclic":[29,32],"skew":[31],"over":[34],"chain":[36],"ring":[37],"R:=F4[v]/\u27e8v3\u27e9.":[38],"We":[39,83],"show":[40],"an":[41],"association":[42],"between":[43],"codons":[45],"elements":[48],"R":[50],"using":[51],"a":[52],"Gray":[53,57],"map.":[54],"Under":[55],"map,":[58],"n.":[67],"Finally,":[68],"several":[69],"new":[70],"are":[73],"obtained":[74],"that":[75],"have":[76],"improved":[77],"parameters":[78],"than":[79],"previously":[80],"known":[81],"codes.":[82,94],"also":[84],"determine":[85],"Hamming":[87],"Edit":[90],"distances":[91],"these":[93]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2023-01-30T00:00:00"}