{"id":"https://openalex.org/W4391852314","doi":"https://doi.org/10.1515/jmc-2023-0024","title":"On a generalization of the Deligne\u2013Lusztig curve of Suzuki type and application to AG codes","display_name":"On a generalization of the Deligne\u2013Lusztig curve of Suzuki type and application to AG codes","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4391852314","doi":"https://doi.org/10.1515/jmc-2023-0024"},"language":"en","primary_location":{"id":"doi:10.1515/jmc-2023-0024","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2023-0024","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2023-0024/pdf","source":{"id":"https://openalex.org/S100611479","display_name":"Journal of Mathematical Cryptology","issn_l":"1862-2976","issn":["1862-2976","1862-2984"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Cryptology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2023-0024/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070528571","display_name":"Marco Timpanella","orcid":"https://orcid.org/0000-0001-6058-1909"},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Marco Timpanella","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, University of Perugia, Via Vanvitelli , 1 - 06123 Perugia , Italy"],"raw_orcid":"https://orcid.org/0000-0001-6058-1909","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, University of Perugia, Via Vanvitelli , 1 - 06123 Perugia , Italy","institution_ids":["https://openalex.org/I27483092"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070528571"],"corresponding_institution_ids":["https://openalex.org/I27483092"],"apc_list":{"value":1000,"currency":"EUR","value_usd":1078},"apc_paid":{"value":1000,"currency":"EUR","value_usd":1078},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0126276,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9923999905586243,"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"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7992596626281738},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.677347719669342},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6678459644317627},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3947891592979431},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32460978627204895},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13081258535385132},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.0887693464756012}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7992596626281738},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.677347719669342},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6678459644317627},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3947891592979431},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32460978627204895},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13081258535385132},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0887693464756012},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/jmc-2023-0024","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2023-0024","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2023-0024/pdf","source":{"id":"https://openalex.org/S100611479","display_name":"Journal of Mathematical Cryptology","issn_l":"1862-2976","issn":["1862-2976","1862-2984"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Cryptology","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:4ddb53e4eb3448bf895c60c535a970e9","is_oa":false,"landing_page_url":"https://doaj.org/article/4ddb53e4eb3448bf895c60c535a970e9","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematical Cryptology, Vol 18, Iss 1, Pp 1289-90 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1515/jmc-2023-0024","is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2023-0024","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2023-0024/pdf","source":{"id":"https://openalex.org/S100611479","display_name":"Journal of Mathematical Cryptology","issn_l":"1862-2976","issn":["1862-2976","1862-2984"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Cryptology","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7200000286102295}],"awards":[],"funders":[{"id":"https://openalex.org/F4320326523","display_name":"Universit\u00e0 degli Studi di Perugia","ror":"https://ror.org/00x27da85"},{"id":"https://openalex.org/F4320334045","display_name":"Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391852314.pdf"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1557415002","https://openalex.org/W1707592146","https://openalex.org/W2029720507","https://openalex.org/W2077223818","https://openalex.org/W2114207424","https://openalex.org/W2131690084","https://openalex.org/W2341777095","https://openalex.org/W2466951670","https://openalex.org/W2581890214","https://openalex.org/W2963030833","https://openalex.org/W2963428056","https://openalex.org/W2982567459","https://openalex.org/W3006973768","https://openalex.org/W3104012797","https://openalex.org/W3197411092","https://openalex.org/W4214670850","https://openalex.org/W4242301003","https://openalex.org/W4391489839"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W4238204885"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"article,":[3],"Algebraic-Geometric":[4],"(AG)":[5],"codes":[6,9,64],"and":[7,50],"quantum":[8],"associated":[10],"with":[11],"a":[12,43,51,60],"family":[13,38],"of":[14],"curves":[15],"that":[16],"includes":[17],"the":[18,37,67],"famous":[19],"Suzuki":[20],"curve":[21,35,45,54,68],"are":[22,69],"investigated.":[23],"The":[24],"Weierstrass":[25],"semigroup":[26],"at":[27],"some":[28,47],"rational":[29],"point":[30],"is":[31,59],"computed.":[32],"Notably,":[33],"each":[34],"in":[36],"turns":[39],"out":[40],"to":[41],"be":[42],"Castle":[44,53],"over":[46,55],"finite":[48],"field":[49],"weak":[52],"its":[56],"extensions.":[57],"This":[58],"relevant":[61],"feature":[62],"when":[63],"constructed":[65],"from":[66],"considered.":[70]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2024-02-16T00:00:00"}