{"id":"https://openalex.org/W2019261665","doi":"https://doi.org/10.1109/tit.2013.2276626","title":"A Generalized Construction and Improvements on Nonbinary Codes From Goppa Codes","display_name":"A Generalized Construction and Improvements on Nonbinary Codes From Goppa Codes","publication_year":2013,"publication_date":"2013-08-02","ids":{"openalex":"https://openalex.org/W2019261665","doi":"https://doi.org/10.1109/tit.2013.2276626","mag":"2019261665"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2013.2276626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2013.2276626","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5113824568","display_name":"Martin Tomlinson","orcid":null},"institutions":[{"id":"https://openalex.org/I897542642","display_name":"University of Plymouth","ror":"https://ror.org/008n7pv89","country_code":"GB","type":"education","lineage":["https://openalex.org/I897542642"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Martin Tomlinson","raw_affiliation_strings":["School of Computing and Mathematics, University of Plymouth, UK","Sch. of Comput. & Math., Univ. of Plymouth, Plymouth, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematics, University of Plymouth, UK","institution_ids":["https://openalex.org/I897542642"]},{"raw_affiliation_string":"Sch. of Comput. & Math., Univ. of Plymouth, Plymouth, UK#TAB#","institution_ids":["https://openalex.org/I897542642"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046789017","display_name":"Mubarak Jibril","orcid":null},"institutions":[{"id":"https://openalex.org/I897542642","display_name":"University of Plymouth","ror":"https://ror.org/008n7pv89","country_code":"GB","type":"education","lineage":["https://openalex.org/I897542642"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mubarak Jibril","raw_affiliation_strings":["School of Computing and Mathematics, University of Plymouth, UK","Sch. of Comput. & Math., Univ. of Plymouth, Plymouth, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematics, University of Plymouth, UK","institution_ids":["https://openalex.org/I897542642"]},{"raw_affiliation_string":"Sch. of Comput. & Math., Univ. of Plymouth, Plymouth, UK#TAB#","institution_ids":["https://openalex.org/I897542642"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068650359","display_name":"Cen Jung Tjhai","orcid":null},"institutions":[{"id":"https://openalex.org/I897542642","display_name":"University of Plymouth","ror":"https://ror.org/008n7pv89","country_code":"GB","type":"education","lineage":["https://openalex.org/I897542642"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Cen Tjhai","raw_affiliation_strings":["School of Computing and Mathematics, University of Plymouth, UK","Sch. of Comput. & Math., Univ. of Plymouth, Plymouth, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematics, University of Plymouth, UK","institution_ids":["https://openalex.org/I897542642"]},{"raw_affiliation_string":"Sch. of Comput. & Math., Univ. of Plymouth, Plymouth, UK#TAB#","institution_ids":["https://openalex.org/I897542642"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087480596","display_name":"Sergey Bezzateev","orcid":"https://orcid.org/0000-0002-0924-6221"},"institutions":[{"id":"https://openalex.org/I130523015","display_name":"Saint Petersburg State University of Aerospace and Instrumentation","ror":"https://ror.org/02rsxaa93","country_code":"RU","type":"education","lineage":["https://openalex.org/I130523015"]},{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Sergey V. Bezzateev","raw_affiliation_strings":["Department of Technologies of Information Security Saint Petersburg, State University of Aerospace Instrumentation, St. Petersburg, Russia","Dept. of Technol. of Inf. Security, St. Petersburg State Univ. of Aerosp. Instrum., St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Technologies of Information Security Saint Petersburg, State University of Aerospace Instrumentation, St. Petersburg, Russia","institution_ids":["https://openalex.org/I130523015"]},{"raw_affiliation_string":"Dept. of Technol. of Inf. Security, St. Petersburg State Univ. of Aerosp. Instrum., St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036635049","display_name":"Markus Grassl","orcid":"https://orcid.org/0000-0002-3720-5195"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]},{"id":"https://openalex.org/I115455960","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115455960"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Markus Grassl","raw_affiliation_strings":["Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore","Centre for Quantum Technology, National University of Singapore, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Centre for Quantum Technologies, National University of Singapore, Singapore, Singapore","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"]},{"raw_affiliation_string":"Centre for Quantum Technology, National University of Singapore, Singapore, Singapore","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110085939","display_name":"Mohammed Zaki Ahmed","orcid":null},"institutions":[{"id":"https://openalex.org/I897542642","display_name":"University of Plymouth","ror":"https://ror.org/008n7pv89","country_code":"GB","type":"education","lineage":["https://openalex.org/I897542642"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mohammed Zaki Ahmed","raw_affiliation_strings":["School of Computing and Mathematics, University of Plymouth, UK","Sch. of Comput. & Math., Univ. of Plymouth, Plymouth, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematics, University of Plymouth, UK","institution_ids":["https://openalex.org/I897542642"]},{"raw_affiliation_string":"Sch. of Comput. & Math., Univ. of Plymouth, Plymouth, UK#TAB#","institution_ids":["https://openalex.org/I897542642"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5113824568"],"corresponding_institution_ids":["https://openalex.org/I897542642"],"apc_list":null,"apc_paid":null,"fwci":0.9618,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.81594119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"59","issue":"11","first_page":"7299","last_page":"7304"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9976000189781189,"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":0.9976000189781189,"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/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9894999861717224,"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/T12505","display_name":"Peptidase Inhibition and Analysis","score":0.983299970626831,"subfield":{"id":"https://openalex.org/subfields/2730","display_name":"Oncology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bch-code","display_name":"BCH code","score":0.8189154863357544},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.60601806640625},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5838995575904846},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5517268180847168},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5000219345092773},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4528364837169647},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44868600368499756},{"id":"https://openalex.org/keywords/turbo-code","display_name":"Turbo code","score":0.44017407298088074},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.42539331316947937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3420489430427551},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.2667725086212158},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24715974926948547},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.22379639744758606}],"concepts":[{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.8189154863357544},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.60601806640625},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5838995575904846},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5517268180847168},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5000219345092773},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4528364837169647},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44868600368499756},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.44017407298088074},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.42539331316947937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3420489430427551},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.2667725086212158},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24715974926948547},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.22379639744758606}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2013.2276626","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2013.2276626","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/116193","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/116193","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6700000166893005,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W2063444680","https://openalex.org/W2115789360","https://openalex.org/W2167023477","https://openalex.org/W2320835389"],"related_works":["https://openalex.org/W2150212378","https://openalex.org/W2127950068","https://openalex.org/W2015101254","https://openalex.org/W1851307089","https://openalex.org/W2209506458","https://openalex.org/W1580452828","https://openalex.org/W2020418355","https://openalex.org/W1996737726","https://openalex.org/W2383546851","https://openalex.org/W2127824344"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2],"efficient":[3],"construction":[4,35],"of":[5],"extended":[6],"length":[7,31],"Goppa":[8,43],"codes.":[9,50],"Using":[10],"this":[11],"construction,":[12],"we":[13],"obtain":[14],"78":[15],"new":[16],"nonbinary":[17],"codes":[18,27,44],"with":[19,28],"better":[20],"minimum":[21],"distance":[22],"than":[23],"the":[24,29,39],"previously":[25],"known":[26],"same":[30],"and":[32],"dimension.":[33],"The":[34],"is":[36],"based":[37],"on":[38],"observation":[40],"that":[41],"certain":[42],"can":[45],"be":[46],"seen":[47],"as":[48],"BCH":[49]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}