{"id":"https://openalex.org/W2535290256","doi":"https://doi.org/10.1109/tit.2018.2823326","title":"Communication Efficient and Strongly Secure Secret Sharing Schemes Based on Algebraic Geometry Codes","display_name":"Communication Efficient and Strongly Secure Secret Sharing Schemes Based on Algebraic Geometry Codes","publication_year":2018,"publication_date":"2018-04-06","ids":{"openalex":"https://openalex.org/W2535290256","doi":"https://doi.org/10.1109/tit.2018.2823326","mag":"2535290256"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2018.2823326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2018.2823326","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1610.06082","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006688702","display_name":"Umberto Mart\u00ednez-Pe\u00f1as","orcid":"https://orcid.org/0000-0003-2626-8139"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Umberto Martinez-Penas","raw_affiliation_strings":["The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada"],"raw_orcid":"https://orcid.org/0000-0003-2626-8139","affiliations":[{"raw_affiliation_string":"The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006688702"],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":2.3692,"has_fulltext":true,"cited_by_count":35,"citation_normalized_percentile":{"value":0.90998374,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"64","issue":"6","first_page":"4191","last_page":"4206"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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/T10237","display_name":"Cryptography and Data Security","score":0.9991999864578247,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9923999905586243,"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/finite-field","display_name":"Finite field","score":0.6776790022850037},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.5904902815818787},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5233780145645142},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4904737174510956},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.4761331379413605},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.46868446469306946},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45301228761672974},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4195137023925781},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.41754722595214844},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37468501925468445},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34169596433639526},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.2756286859512329},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21911174058914185},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13166135549545288},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1279793083667755},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.12149384617805481},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1092987060546875}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6776790022850037},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.5904902815818787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5233780145645142},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4904737174510956},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.4761331379413605},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.46868446469306946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45301228761672974},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4195137023925781},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.41754722595214844},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37468501925468445},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34169596433639526},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.2756286859512329},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21911174058914185},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13166135549545288},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1279793083667755},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.12149384617805481},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1092987060546875},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2018.2823326","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2018.2823326","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"},{"id":"pmh:oai:arXiv.org:1610.06082","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1610.06082","pdf_url":"https://arxiv.org/pdf/1610.06082","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:pure.atira.dk:publications/6c89c7d6-8db6-4f3c-a71b-f476056d6fd2","is_oa":false,"landing_page_url":"https://vbn.aau.dk/da/publications/6c89c7d6-8db6-4f3c-a71b-f476056d6fd2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Martinez Pe\u00f1as, U 2018, 'Communication efficient and strongly secure secret sharing schemes based on algebraic geometry codes', I E E E Transactions on Information Theory, vol. 64, no. 6, pp. 4191-4206. https://doi.org/10.1109/TIT.2018.2823326","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1610.06082","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1610.06082","pdf_url":"https://arxiv.org/pdf/1610.06082","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7994486516","display_name":null,"funder_award_id":"DFF-5137-00076B","funder_id":"https://openalex.org/F4320322928","funder_display_name":"Danmarks Frie Forskningsfond"},{"id":"https://openalex.org/G854504215","display_name":null,"funder_award_id":"DFF-4002-00367","funder_id":"https://openalex.org/F4320322928","funder_display_name":"Danmarks Frie Forskningsfond"}],"funders":[{"id":"https://openalex.org/F4320322015","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087"},{"id":"https://openalex.org/F4320322928","display_name":"Danmarks Frie Forskningsfond","ror":"https://ror.org/02sptwz63"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2535290256.pdf","grobid_xml":"https://content.openalex.org/works/W2535290256.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W748787375","https://openalex.org/W1534695542","https://openalex.org/W1556155774","https://openalex.org/W1557415002","https://openalex.org/W1562783580","https://openalex.org/W1574535057","https://openalex.org/W1581614720","https://openalex.org/W1641218312","https://openalex.org/W1971815967","https://openalex.org/W1977854174","https://openalex.org/W1990304797","https://openalex.org/W1996118782","https://openalex.org/W2006453614","https://openalex.org/W2013051868","https://openalex.org/W2019215605","https://openalex.org/W2034248012","https://openalex.org/W2043769961","https://openalex.org/W2045231468","https://openalex.org/W2097117337","https://openalex.org/W2099920789","https://openalex.org/W2101915041","https://openalex.org/W2111992817","https://openalex.org/W2124844315","https://openalex.org/W2127579297","https://openalex.org/W2133693898","https://openalex.org/W2136563111","https://openalex.org/W2141420453","https://openalex.org/W2157358003","https://openalex.org/W2159193690","https://openalex.org/W2167046508","https://openalex.org/W2397857137","https://openalex.org/W2478708596","https://openalex.org/W2591677828","https://openalex.org/W2731854684","https://openalex.org/W2970097841","https://openalex.org/W4249844765","https://openalex.org/W6601219745","https://openalex.org/W6633290222","https://openalex.org/W6633326728","https://openalex.org/W6698135423"],"related_works":["https://openalex.org/W2366107444","https://openalex.org/W4388145910","https://openalex.org/W2381570729","https://openalex.org/W1976205134","https://openalex.org/W4248336175","https://openalex.org/W2031260042","https://openalex.org/W2391445434","https://openalex.org/W3009369890","https://openalex.org/W4312490297","https://openalex.org/W2062212388"],"abstract_inverted_index":{"Secret-sharing":[0],"schemes":[1,57,89,113,136,148],"with":[2,90,114,149],"optimal":[3,95,117,121,154,160],"and":[4,16,38,74,80,92,103,116,120,137,140,146,151,157,169],"universal":[5,91,115,150],"communication":[6,54,96,118,155],"overheads":[7,97,119,156],"have":[8],"been":[9],"obtained":[10],"independently":[11],"by":[12],"Bitar":[13],"et":[14,18],"al.":[15,19],"Huang":[17],"However,":[20],"their":[21],"constructions":[22],"require":[23],"a":[24,49,104,170],"finite":[25,106,172],"field":[26],"of":[27,36,61,112,134,143],"size":[28],"q":[29],"n,":[30],"where":[31],"n":[32,102,168],"is":[33],"the":[34,109,130,138],"number":[35],"shares,":[37],"do":[39],"not":[40],"provide":[41],"strong":[42,122,161],"security.":[43],"In":[44],"this":[45,84],"paper,":[46],"we":[47,86],"give":[48],"general":[50],"framework":[51],"to":[52,67,76,94,153,159],"construct":[53],"efficient":[55],"secretsharing":[56],"based":[58],"on":[59],"sequences":[60],"nested":[62],"linear":[63],"codes,":[64],"which":[65],"allows":[66,75],"use,":[68],"in":[69,128],"particular,":[70,129],"algebraic":[71],"geometry":[72],"codes":[73],"obtain":[77],"strongly":[78],"secure":[79],"communication-efficient":[81],"schemes.":[82],"Using":[83],"framework,":[85],"obtain:":[87],"1)":[88],"close":[93,152,158],"for":[98,164],"arbitrarily":[99,165],"large":[100,166],"lengths":[101,167],"fixed":[105,171],"field;":[107],"2)":[108],"first":[110],"construction":[111],"security":[123,132,139,162],"(for":[124],"restricted":[125],"lengths),":[126],"having,":[127],"component-wise":[131],"advantages":[133],"perfect":[135],"storage":[141],"efficiency":[142],"ramp":[144],"schemes;":[145],"3)":[147],"defined":[163],"field.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-10-03T00:00:00"}