{"id":"https://openalex.org/W4367663555","doi":"https://doi.org/10.1109/tit.2023.3271652","title":"Twisted Goppa Codes With an Efficient Decoding Algorithm and Quasi-Cyclic Properties","display_name":"Twisted Goppa Codes With an Efficient Decoding Algorithm and Quasi-Cyclic Properties","publication_year":2023,"publication_date":"2023-05-01","ids":{"openalex":"https://openalex.org/W4367663555","doi":"https://doi.org/10.1109/tit.2023.3271652"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2023.3271652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3271652","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/A5063390132","display_name":"Junzhen Sui","orcid":"https://orcid.org/0000-0002-6358-5697"},"institutions":[{"id":"https://openalex.org/I4210132990","display_name":"State Key Laboratory of Cryptology","ror":"https://ror.org/02pn5rj08","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210132990"]},{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junzhen Sui","raw_affiliation_strings":["College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China","State Key Laboratory of Cryptology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-6358-5697","affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"State Key Laboratory of Cryptology, Beijing, China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100786671","display_name":"Qin Yue","orcid":"https://orcid.org/0000-0002-2873-5549"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qin Yue","raw_affiliation_strings":["College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China","College of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-2873-5549","affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"College of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063390132"],"corresponding_institution_ids":["https://openalex.org/I4210132990","https://openalex.org/I9842412"],"apc_list":null,"apc_paid":null,"fwci":0.5112,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69958151,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"69","issue":"9","first_page":"5660","last_page":"5669"},"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":0.9807999730110168,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9779999852180481,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6223490238189697},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.559879720211029},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5068128705024719},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.4928867816925049},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.47736239433288574},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.4327992796897888},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4126431941986084},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36679041385650635},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.12824636697769165}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6223490238189697},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.559879720211029},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5068128705024719},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.4928867816925049},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.47736239433288574},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.4327992796897888},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4126431941986084},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36679041385650635},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.12824636697769165}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2023.3271652","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3271652","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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6899999976158142}],"awards":[{"id":"https://openalex.org/G8021785736","display_name":null,"funder_award_id":"62172219","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":26,"referenced_works":["https://openalex.org/W1488034582","https://openalex.org/W1508253193","https://openalex.org/W1520077026","https://openalex.org/W1812316405","https://openalex.org/W1990361074","https://openalex.org/W2020484625","https://openalex.org/W2026461145","https://openalex.org/W2033235577","https://openalex.org/W2035929826","https://openalex.org/W2111444563","https://openalex.org/W2148321903","https://openalex.org/W2151025885","https://openalex.org/W2576159841","https://openalex.org/W2619674633","https://openalex.org/W2780144492","https://openalex.org/W2895239415","https://openalex.org/W2941818581","https://openalex.org/W2963610864","https://openalex.org/W2986959318","https://openalex.org/W3104110479","https://openalex.org/W3178596712","https://openalex.org/W4207062140","https://openalex.org/W4320736926","https://openalex.org/W6738920706","https://openalex.org/W6770380337","https://openalex.org/W6850282415"],"related_works":["https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1789159349","https://openalex.org/W2113911300","https://openalex.org/W2151857680","https://openalex.org/W1568966867","https://openalex.org/W4386066307","https://openalex.org/W2060062708","https://openalex.org/W1798117689","https://openalex.org/W2293846540"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,19,70,91],"introduce":[4],"twisted":[5,16,26,49,73,97],"Goppa":[6,11,27,50,74,98],"codes,":[7],"which":[8,39],"generalize":[9],"classical":[10],"codes":[12,37,51,75],"by":[13],"adding":[14],"a":[15,44,77,93],"term.":[17],"Then":[18],"provide":[20],"an":[21],"efficient":[22],"decoding":[23],"algorithm":[24],"for":[25],"codes.":[28,99],"The":[29],"Niederreiter":[30,56],"cryptosystem":[31],"is":[32,43,62],"bassed":[33],"on":[34],"linear":[35],"error-correcting":[36],"in":[38],"the":[40,55,58,66,83,87],"public":[41,59,67],"key":[42,60,68],"parity":[45],"check":[46],"matrix.":[47],"When":[48],"are":[52],"applied":[53],"to":[54],"cryptosystem,":[57],"size":[61],"overlarge.":[63],"To":[64],"reduce":[65],"size,":[69],"construct":[71],"quasi-cyclic":[72],"via":[76],"non-trivial":[78],"automorphism":[79],"group":[80],"carefully":[81],"selecting":[82],"defining":[84],"set":[85],"and":[86],"matched":[88],"polynomial.":[89],"Moreover,":[90],"obtain":[92],"family":[94],"of":[95],"cyclic":[96]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}