{"id":"https://openalex.org/W4405673041","doi":"https://doi.org/10.1007/s12190-024-02326-7","title":"Asymptotically good four Toeplitz codes and derived new formally self-dual LCD codes","display_name":"Asymptotically good four Toeplitz codes and derived new formally self-dual LCD codes","publication_year":2024,"publication_date":"2024-12-21","ids":{"openalex":"https://openalex.org/W4405673041","doi":"https://doi.org/10.1007/s12190-024-02326-7"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-024-02326-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02326-7","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","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/A5100347484","display_name":"Juan Wang","orcid":"https://orcid.org/0000-0003-3124-9901"},"institutions":[{"id":"https://openalex.org/I4210088165","display_name":"Anhui Sanlian University","ror":"https://ror.org/012sfmg27","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210088165"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juan Wang","raw_affiliation_strings":["Anhui Sanlian University, Hefei, 230601, Anhui, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Anhui Sanlian University, Hefei, 230601, Anhui, China","institution_ids":["https://openalex.org/I4210088165"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103122430","display_name":"Shitao Li","orcid":"https://orcid.org/0000-0002-9716-6212"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shitao Li","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100421823","display_name":"Yang Li","orcid":"https://orcid.org/0000-0003-4985-4181"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Li","raw_affiliation_strings":["School of Mathematics, Hefei University of Technology, Hefei, 230601, Anhui, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Hefei University of Technology, Hefei, 230601, Anhui, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115602429","display_name":"Yan Liu","orcid":"https://orcid.org/0000-0002-0658-7469"},"institutions":[{"id":"https://openalex.org/I39774598","display_name":"Hefei University","ror":"https://ror.org/01f5rdf64","country_code":"CN","type":"education","lineage":["https://openalex.org/I39774598"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Liu","raw_affiliation_strings":["School of Artificial Intelligence and Big Data, Hefei University, Hefei, 230601, Anhui, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence and Big Data, Hefei University, Hefei, 230601, Anhui, China","institution_ids":["https://openalex.org/I39774598"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103122430"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5557,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.73749402,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"71","issue":"2","first_page":"2505","last_page":"2525"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9781000018119812,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.7013394832611084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6666578650474548},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5792839527130127},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5379799604415894},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5267707109451294},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4964204430580139},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.490013986825943},{"id":"https://openalex.org/keywords/liquid-crystal-display","display_name":"Liquid-crystal display","score":0.45351898670196533},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.411479651927948},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23198819160461426},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2068306803703308},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1561589539051056},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.09127265214920044}],"concepts":[{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.7013394832611084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6666578650474548},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5792839527130127},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5379799604415894},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5267707109451294},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4964204430580139},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.490013986825943},{"id":"https://openalex.org/C128019096","wikidata":"https://www.wikidata.org/wiki/Q83341","display_name":"Liquid-crystal display","level":2,"score":0.45351898670196533},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.411479651927948},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23198819160461426},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2068306803703308},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1561589539051056},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.09127265214920044},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-024-02326-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-024-02326-7","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8136523592","display_name":null,"funder_award_id":"12101174","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W395247565","https://openalex.org/W832720774","https://openalex.org/W1446066000","https://openalex.org/W1512024705","https://openalex.org/W1972303573","https://openalex.org/W1976677460","https://openalex.org/W1979800206","https://openalex.org/W1980741888","https://openalex.org/W1994268719","https://openalex.org/W2008623709","https://openalex.org/W2015337464","https://openalex.org/W2015607885","https://openalex.org/W2026316191","https://openalex.org/W2032420182","https://openalex.org/W2061270859","https://openalex.org/W2073627744","https://openalex.org/W2082432729","https://openalex.org/W2119117325","https://openalex.org/W2577690138","https://openalex.org/W2588925648","https://openalex.org/W2779328447","https://openalex.org/W2787275646","https://openalex.org/W2800981337","https://openalex.org/W2885836637","https://openalex.org/W2963799780","https://openalex.org/W2991057052","https://openalex.org/W2999656452","https://openalex.org/W3088895426","https://openalex.org/W3094630600","https://openalex.org/W3095860163","https://openalex.org/W3121556672","https://openalex.org/W3130517284","https://openalex.org/W3180519652","https://openalex.org/W3197290798","https://openalex.org/W3201576711","https://openalex.org/W3210710140","https://openalex.org/W4206775542","https://openalex.org/W4285083959","https://openalex.org/W4360602509","https://openalex.org/W4362720857","https://openalex.org/W4366091406","https://openalex.org/W4378449435","https://openalex.org/W4381415875","https://openalex.org/W4390226903","https://openalex.org/W4391211653","https://openalex.org/W4391538384","https://openalex.org/W4400856250","https://openalex.org/W4402052000"],"related_works":["https://openalex.org/W2389462125","https://openalex.org/W2091997962","https://openalex.org/W151496359","https://openalex.org/W1969863203","https://openalex.org/W4220662591","https://openalex.org/W856465872","https://openalex.org/W1987843132","https://openalex.org/W4246602344","https://openalex.org/W2359223678","https://openalex.org/W4390240002"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}