{"id":"https://openalex.org/W7127369053","doi":"https://doi.org/10.48550/arxiv.2602.01464","title":"Hierarchical Locally Recoverable Codes on surfaces","display_name":"Hierarchical Locally Recoverable Codes on surfaces","publication_year":2026,"publication_date":"2026-02-01","ids":{"openalex":"https://openalex.org/W7127369053","doi":"https://doi.org/10.48550/arxiv.2602.01464"},"language":"en","primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.01464","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111476928","display_name":"Carolina Ara\u00fajo","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Araujo, Carolina","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124951859","display_name":"Luana Costa","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Costa, Luana","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078318963","display_name":"Beth Malmskog","orcid":"https://orcid.org/0000-0003-4878-9939"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Malmskog, Beth","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035478980","display_name":"Jorge Mello","orcid":"https://orcid.org/0000-0002-2206-4211"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mello, Jorge","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124961661","display_name":"Eliza Menezes","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Menezes, Eliza","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Salgado, Cec\u00edlia","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Salgado, Cec\u00edlia","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5089460608","display_name":"Lara Vicino","orcid":"https://orcid.org/0000-0002-7480-8681"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vicino, Lara","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.5871999859809875,"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":0.5871999859809875,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.10050000250339508,"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/T12162","display_name":"Cellular Automata and Applications","score":0.03500000014901161,"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/hierarchy","display_name":"Hierarchy","score":0.6671000123023987},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.635200023651123},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5752999782562256},{"id":"https://openalex.org/keywords/fibration","display_name":"Fibration","score":0.527400016784668},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.2858000099658966},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.28349998593330383}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7872999906539917},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6671000123023987},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.635200023651123},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5752999782562256},{"id":"https://openalex.org/C54486226","wikidata":"https://www.wikidata.org/wiki/Q493941","display_name":"Fibration","level":3,"score":0.527400016784668},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4242999851703644},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.29420000314712524},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.2858000099658966},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.28349998593330383},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.27250000834465027},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.27079999446868896},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26829999685287476},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.25600001215934753},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25589999556541443}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.01464","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/83a03b55-f0d9-44c1-a977-c0e7000785ff","is_oa":false,"landing_page_url":"https://research.rug.nl/en/publications/83a03b55-f0d9-44c1-a977-c0e7000785ff","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Araujo, C, Costa, L, Malmskog, B, Mello, J, Menezes, E, Salgado Guimar\u00e3es da Silva, C & Vicino, L 2026 'Hierarchical Locally Recoverable Codes on surfaces' arXiv. https://doi.org/10.48550/arXiv.2602.01464","raw_type":"info:eu-repo/semantics/preprint"},{"id":"doi:10.48550/arxiv.2602.01464","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.01464","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:doi:10.48550/arxiv.2602.01464","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,21],"construct":[1],"locally":[2],"recoverable":[3],"codes":[4,27],"with":[5],"hierarchy":[6],"from":[7],"surfaces":[8],"in":[9,55,67],"$\\mathbb{A}^3$":[10],"admitting":[11],"a":[12,48],"fibration":[13],"by":[14,28,40],"curves":[15],"of":[16,25,34,44,64,70],"Artin-Schreier":[17],"or":[18],"Kummer":[19],"type.":[20],"derive":[22],"the":[23,30,35,45,62],"parameters":[24],"our":[26],"leveraging":[29],"geometry":[31],"and":[32],"arithmetic":[33],"fibration,":[36],"which":[37],"is":[38],"obtained":[39],"projection":[41],"onto":[42],"one":[43,56],"coordinates.":[46],"As":[47],"byproduct,":[49],"we":[50],"obtain":[51],"estimates":[52],"for":[53],"(and":[54],"case":[57],"an":[58],"explicit":[59],"count":[60],"of)":[61],"number":[63],"rational":[65],"points":[66],"certain":[68],"families":[69],"surfaces.":[71]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-02-04T00:00:00"}
