{"id":"https://openalex.org/W2204038728","doi":"https://doi.org/10.1145/2893803.2893807","title":"Lacunaryx","display_name":"Lacunaryx","publication_year":2016,"publication_date":"2016-02-17","ids":{"openalex":"https://openalex.org/W2204038728","doi":"https://doi.org/10.1145/2893803.2893807","mag":"2204038728"},"language":"en","primary_location":{"id":"doi:10.1145/2893803.2893807","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2893803.2893807","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1506.03726","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003590565","display_name":"Bruno Grenet","orcid":"https://orcid.org/0000-0003-2057-5429"},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Bruno Grenet","raw_affiliation_strings":["Universit\u00e9 de Montpellier"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Montpellier","institution_ids":["https://openalex.org/I19894307"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003590565"],"corresponding_institution_ids":["https://openalex.org/I19894307"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00235341,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"49","issue":"4","first_page":"121","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11377","display_name":"Retinal and Macular Surgery","score":0.8967000246047974,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T11377","display_name":"Retinal and Macular Surgery","score":0.8967000246047974,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10250","display_name":"Glaucoma and retinal disorders","score":0.8795999884605408,"subfield":{"id":"https://openalex.org/subfields/2731","display_name":"Ophthalmology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.7876999974250793,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3737369775772095}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3737369775772095}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/2893803.2893807","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2893803.2893807","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1506.03726","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1506.03726","pdf_url":"https://arxiv.org/pdf/1506.03726","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:lirmm-01163085v1","is_oa":false,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-01163085","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Communications in Computer Algebra, 2015, Issue 194, 49 (4), pp.121-124. ⟨10.1145/2893803.2893807⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1506.03726","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1506.03726","pdf_url":"https://arxiv.org/pdf/1506.03726","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Quality Education","score":0.5099999904632568,"id":"https://metadata.un.org/sdg/4"}],"awards":[{"id":"https://openalex.org/G182819387","display_name":"Sieve Algorithms: Theoretical Advances, and Effective Resolution of the Discete Logarithm Problem.","funder_award_id":"ANR-12-BS02-0001","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1535047043","https://openalex.org/W1957741734","https://openalex.org/W1972473080","https://openalex.org/W1980469175","https://openalex.org/W2028346139","https://openalex.org/W2060589377","https://openalex.org/W2091945026","https://openalex.org/W2142266808","https://openalex.org/W3098163749"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857","https://openalex.org/W2350741829"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"report":[4],"on":[5],"an":[6,46],"implementation":[7],"in":[8,34,64],"the":[9,65,69,83,87,95,98],"free":[10],"software":[11],"M":[12],"athemagix":[13],"[9]":[14],"of":[15,42,59,68,78,89,97,101],"lacunary":[16],"factorization":[17],"algorithms,":[18],"distributed":[19],"as":[20,30,39],"a":[21,32,40,79,90],"library":[22],"called":[23],"L":[24],"acunaryx":[25],".":[26],"These":[27],"algorithms":[28,61],"take":[29],"input":[31,70],"polynomial":[33,63,71,80],"sparse":[35,66,76],"representation,":[36],"that":[37,93],"is":[38,62,94],"list":[41],"nonzero":[43],"monomials,":[44],"and":[45,50,72,104],"integer":[47],"d":[48,54,73],",":[49],"compute":[51],"its":[52,102],"degree-":[53],"factors.":[55],"2":[56],"The":[57,75],"complexity":[58],"these":[60],"size":[67,77],":":[74],"[EQUATION]":[81],"logwhere":[82],"h":[84],"(\u00b7)":[85],"denotes":[86],"height":[88],"rational":[91],"number,":[92],"maximum":[96],"absolute":[99],"values":[100],"numerator":[103],"denominator.":[105]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2016-06-24T00:00:00"}