{"id":"https://openalex.org/W1971922869","doi":"https://doi.org/10.1109/tit.2015.2419613","title":"Using the Structure of Subfields in the Construction of Goppa Codes and Extended Goppa Codes","display_name":"Using the Structure of Subfields in the Construction of Goppa Codes and Extended Goppa Codes","publication_year":2015,"publication_date":"2015-04-03","ids":{"openalex":"https://openalex.org/W1971922869","doi":"https://doi.org/10.1109/tit.2015.2419613","mag":"1971922869"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2015.2419613","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2419613","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":false,"raw_author_name":"Martin Tomlinson","raw_affiliation_strings":["School of Computing and Mathematics, University of Plymouth, Plymouth, U.K","School of Computing and Mathematics, University of Plymouth,, Plymouth, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematics, University of Plymouth, Plymouth, U.K","institution_ids":["https://openalex.org/I897542642"]},{"raw_affiliation_string":"School of Computing and Mathematics, University of Plymouth,, Plymouth, U.K","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"]}],"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","[Department of Technologies of Information Security, Saint Petersburg State University of Aerospace Instrumentation, St. Petersburg, Russia]"],"raw_orcid":null,"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":"[Department of Technologies of Information Security, Saint Petersburg State University of Aerospace Instrumentation, St. Petersburg, Russia]","institution_ids":["https://openalex.org/I130523015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046789017","display_name":"Mubarak Jibril","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mubarak Jibril","raw_affiliation_strings":["Nigerian Communication Satellite Ltd., Abuja, Nigeria",", Nigerian Communication Satellite Ltd., Abuja, Nigeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nigerian Communication Satellite Ltd., Abuja, Nigeria","institution_ids":[]},{"raw_affiliation_string":", Nigerian Communication Satellite Ltd., Abuja, Nigeria","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077402042","display_name":"Marcel Ambroze","orcid":"https://orcid.org/0000-0001-9021-1095"},"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":"Marcel A. Ambroze","raw_affiliation_strings":["School of Computing and Mathematics, University of Plymouth, Plymouth, U.K","School of Computing and Mathematics, University of Plymouth,, Plymouth, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematics, University of Plymouth, Plymouth, U.K","institution_ids":["https://openalex.org/I897542642"]},{"raw_affiliation_string":"School of Computing and Mathematics, University of Plymouth,, Plymouth, U.K","institution_ids":["https://openalex.org/I897542642"]}]},{"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, Plymouth, U.K","School of Computing and Mathematics, University of Plymouth,, Plymouth, U.K"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematics, University of Plymouth, Plymouth, U.K","institution_ids":["https://openalex.org/I897542642"]},{"raw_affiliation_string":"School of Computing and Mathematics, University of Plymouth,, Plymouth, U.K","institution_ids":["https://openalex.org/I897542642"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.04335207,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"61","issue":"6","first_page":"3214","last_page":"3224"},"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":0.9955000281333923,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.6657652258872986},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.642977774143219},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5250287652015686},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.49196645617485046},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.46250292658805847},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4370253384113312},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.43188416957855225},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4155634641647339},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3303072452545166},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25765854120254517},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24900862574577332},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1522895097732544},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.13050192594528198}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6657652258872986},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.642977774143219},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5250287652015686},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.49196645617485046},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.46250292658805847},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4370253384113312},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.43188416957855225},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4155634641647339},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3303072452545166},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25765854120254517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24900862574577332},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1522895097732544},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.13050192594528198},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2015.2419613","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2419613","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1504030323","https://openalex.org/W1606480398","https://openalex.org/W1983213873","https://openalex.org/W2009513359","https://openalex.org/W2019261665","https://openalex.org/W2032272780","https://openalex.org/W2055688407","https://openalex.org/W2061209012","https://openalex.org/W2078870121","https://openalex.org/W2080390132","https://openalex.org/W2104464473","https://openalex.org/W2112529294","https://openalex.org/W2167023477","https://openalex.org/W2170304442","https://openalex.org/W2395522747","https://openalex.org/W2471342003","https://openalex.org/W4212825216","https://openalex.org/W6712216647"],"related_works":["https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1968396483","https://openalex.org/W4297536019","https://openalex.org/W2147254059","https://openalex.org/W2950636389","https://openalex.org/W1534925464","https://openalex.org/W1975697476","https://openalex.org/W1798117689","https://openalex.org/W792671342"],"abstract_inverted_index":{"It":[0],"is":[1,65],"shown":[2,47],"that":[3,15],"for":[4,72,82],"some":[5,9,16],"location":[6],"sets":[7],"and":[8,34,86],"integral":[10],"multiple":[11],"power":[12],"Galois":[13],"fields":[14],"new":[17,59],"general":[18,54],"subclasses":[19,55],"of":[20,52,56,61,69],"Goppa":[21,40,63],"codes":[22,64],"may":[23],"be":[24,49],"defined":[25],"which":[26],"have":[27],"improved":[28,77],"lower":[29],"bounds":[30],"to":[31,48],"code":[32,70,78],"dimension":[33],"minimum":[35],"distance":[36],"compared":[37],"with":[38],"ordinary":[39],"codes.":[41,57,88],"Some":[42],"previously":[43],"published":[44],"results":[45],"are":[46,80],"particular":[50],"cases":[51],"these":[53,73],"A":[58],"subclass":[60],"reversible":[62],"also":[66],"presented.":[67],"Examples":[68],"construction":[71],"subclasses,":[74],"demonstrating":[75],"the":[76],"parameters,":[79],"presented":[81],"both":[83],"non":[84],"binary":[85,87]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
