{"id":"https://openalex.org/W2093721992","doi":"https://doi.org/10.1145/2724713","title":"Practical Lattice-Based Digital Signature Schemes","display_name":"Practical Lattice-Based Digital Signature Schemes","publication_year":2015,"publication_date":"2015-04-21","ids":{"openalex":"https://openalex.org/W2093721992","doi":"https://doi.org/10.1145/2724713","mag":"2093721992"},"language":"en","primary_location":{"id":"doi:10.1145/2724713","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2724713","pdf_url":null,"source":{"id":"https://openalex.org/S136160450","display_name":"ACM Transactions on Embedded Computing Systems","issn_l":"1539-9087","issn":["1539-9087","1558-3465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Embedded Computing Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pureadmin.qub.ac.uk/ws/files/17361470/Practical_Lattice_based_Digital_Signature_Schemes_submit_version.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089584032","display_name":"James Howe","orcid":"https://orcid.org/0000-0002-6498-3099"},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"James Howe","raw_affiliation_strings":["Centre for Secure Information Technologies (CSIT), Queen's University Belfast, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Secure Information Technologies (CSIT), Queen's University Belfast, UK","institution_ids":["https://openalex.org/I126231945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043874987","display_name":"Thomas P\u00f6ppelmann","orcid":null},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas P\u00f6ppelmann","raw_affiliation_strings":["Horst G\u00f6rtz Institute for IT-Security, Ruhr-University Bochum, Bochum, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Horst G\u00f6rtz Institute for IT-Security, Ruhr-University Bochum, Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079438004","display_name":"M\u00e1ire O\u05f3Neill","orcid":"https://orcid.org/0000-0002-6865-6212"},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M\u00e1ire O'neill","raw_affiliation_strings":["Centre for Secure Information Technologies (CSIT), Queen's University Belfast, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Secure Information Technologies (CSIT), Queen's University Belfast, UK","institution_ids":["https://openalex.org/I126231945"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109999873","display_name":"Elizabeth O\u2019Sullivan","orcid":null},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Elizabeth O'sullivan","raw_affiliation_strings":["Centre for Secure Information Technologies (CSIT), Queen's University Belfast, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Secure Information Technologies (CSIT), Queen's University Belfast, UK","institution_ids":["https://openalex.org/I126231945"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076453092","display_name":"Tim G\u00fcneysu","orcid":"https://orcid.org/0000-0002-3293-4989"},"institutions":[{"id":"https://openalex.org/I904495901","display_name":"Ruhr University Bochum","ror":"https://ror.org/04tsk2644","country_code":"DE","type":"education","lineage":["https://openalex.org/I904495901"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tim G\u00fcneysu","raw_affiliation_strings":["Horst G\u00f6rtz Institute for IT-Security, Ruhr-University Bochum, Bochum, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Horst G\u00f6rtz Institute for IT-Security, Ruhr-University Bochum, Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.6903,"has_fulltext":true,"cited_by_count":53,"citation_normalized_percentile":{"value":0.980979,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"14","issue":"3","first_page":"1","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","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/T10237","display_name":"Cryptography and Data Security","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/T11130","display_name":"Coding theory and cryptography","score":0.9970999956130981,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/lattice-based-cryptography","display_name":"Lattice-based cryptography","score":0.817611575126648},{"id":"https://openalex.org/keywords/post-quantum-cryptography","display_name":"Post-quantum cryptography","score":0.8112589120864868},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7697237133979797},{"id":"https://openalex.org/keywords/elliptic-curve-digital-signature-algorithm","display_name":"Elliptic Curve Digital Signature Algorithm","score":0.7593791484832764},{"id":"https://openalex.org/keywords/factoring","display_name":"Factoring","score":0.7370317578315735},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.6471924185752869},{"id":"https://openalex.org/keywords/digital-signature","display_name":"Digital signature","score":0.6220840811729431},{"id":"https://openalex.org/keywords/discrete-logarithm","display_name":"Discrete logarithm","score":0.6147312521934509},{"id":"https://openalex.org/keywords/lattice-problem","display_name":"Lattice problem","score":0.6111587285995483},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5534852743148804},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5326535105705261},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.37672680616378784},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.35922080278396606},{"id":"https://openalex.org/keywords/quantum-cryptography","display_name":"Quantum cryptography","score":0.3360084295272827},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.30641213059425354},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.29054170846939087},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.21167132258415222},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.17456650733947754},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.17124587297439575},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.10972106456756592},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07714375853538513},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07185277342796326}],"concepts":[{"id":"https://openalex.org/C137660015","wikidata":"https://www.wikidata.org/wiki/Q6497083","display_name":"Lattice-based cryptography","level":5,"score":0.817611575126648},{"id":"https://openalex.org/C108277079","wikidata":"https://www.wikidata.org/wiki/Q7233576","display_name":"Post-quantum cryptography","level":4,"score":0.8112589120864868},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7697237133979797},{"id":"https://openalex.org/C197966572","wikidata":"https://www.wikidata.org/wiki/Q915079","display_name":"Elliptic Curve Digital Signature Algorithm","level":5,"score":0.7593791484832764},{"id":"https://openalex.org/C177225278","wikidata":"https://www.wikidata.org/wiki/Q192674","display_name":"Factoring","level":2,"score":0.7370317578315735},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.6471924185752869},{"id":"https://openalex.org/C118463975","wikidata":"https://www.wikidata.org/wiki/Q220849","display_name":"Digital signature","level":3,"score":0.6220840811729431},{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.6147312521934509},{"id":"https://openalex.org/C168482242","wikidata":"https://www.wikidata.org/wiki/Q6497128","display_name":"Lattice problem","level":3,"score":0.6111587285995483},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5534852743148804},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5326535105705261},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.37672680616378784},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.35922080278396606},{"id":"https://openalex.org/C144901912","wikidata":"https://www.wikidata.org/wiki/Q471906","display_name":"Quantum cryptography","level":4,"score":0.3360084295272827},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.30641213059425354},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.29054170846939087},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.21167132258415222},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.17456650733947754},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.17124587297439575},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.10972106456756592},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07714375853538513},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07185277342796326},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/2724713","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2724713","pdf_url":null,"source":{"id":"https://openalex.org/S136160450","display_name":"ACM Transactions on Embedded Computing Systems","issn_l":"1539-9087","issn":["1539-9087","1558-3465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Embedded Computing Systems","raw_type":"journal-article"},{"id":"pmh:oai:pure.qub.ac.uk/portal:openaire/fe606d7e-6860-42c8-8f8f-c38e6ab72951","is_oa":true,"landing_page_url":"https://pure.qub.ac.uk/en/publications/fe606d7e-6860-42c8-8f8f-c38e6ab72951","pdf_url":"https://pureadmin.qub.ac.uk/ws/files/17361470/Practical_Lattice_based_Digital_Signature_Schemes_submit_version.pdf","source":{"id":"https://openalex.org/S4306402319","display_name":"Research Portal (Queen's University Belfast)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126231945","host_organization_name":"Queen's University Belfast","host_organization_lineage":["https://openalex.org/I126231945"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Howe, J, Poppelmann, T, O'Neill, M, O'Sullivan, E & Guneysu, T 2015, 'Practical Lattice-Based Digital Signature Schemes', ACM Transactions on Embedded Computing Systems, vol. 14, no. 3, 41. https://doi.org/10.1145/2724713","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.868.2050","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.868.2050","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://csrc.nist.gov/groups/ST/post-quantum-2015/papers/session9-oneill-paper.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:pure.qub.ac.uk/portal:openaire/fe606d7e-6860-42c8-8f8f-c38e6ab72951","is_oa":true,"landing_page_url":"https://pure.qub.ac.uk/en/publications/fe606d7e-6860-42c8-8f8f-c38e6ab72951","pdf_url":"https://pureadmin.qub.ac.uk/ws/files/17361470/Practical_Lattice_based_Digital_Signature_Schemes_submit_version.pdf","source":{"id":"https://openalex.org/S4306402319","display_name":"Research Portal (Queen's University Belfast)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126231945","host_organization_name":"Queen's University Belfast","host_organization_lineage":["https://openalex.org/I126231945"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Howe, J, Poppelmann, T, O'Neill, M, O'Sullivan, E & Guneysu, T 2015, 'Practical Lattice-Based Digital Signature Schemes', ACM Transactions on Embedded Computing Systems, vol. 14, no. 3, 41. https://doi.org/10.1145/2724713","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1344870180","display_name":null,"funder_award_id":"GRK 1817/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G4246293066","display_name":null,"funder_award_id":"GRK 1817","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5116284786","display_name":null,"funder_award_id":"1817/1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G5334834590","display_name":null,"funder_award_id":"EP/H049606/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5445011987","display_name":null,"funder_award_id":"EP/K004379/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6577499357","display_name":null,"funder_award_id":"EP/N508664/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6807313995","display_name":"Secure Architectures of Future Emerging Cryptography","funder_award_id":"644729","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G745166385","display_name":null,"funder_award_id":"EP/G034303/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7778643072","display_name":null,"funder_award_id":"EP/J006238/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320332999","display_name":"Horizon 2020 Framework Programme","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2093721992.pdf","grobid_xml":"https://content.openalex.org/works/W2093721992.grobid-xml"},"referenced_works_count":118,"referenced_works":["https://openalex.org/W24111845","https://openalex.org/W31130112","https://openalex.org/W34386251","https://openalex.org/W39036742","https://openalex.org/W42080394","https://openalex.org/W49132692","https://openalex.org/W62933689","https://openalex.org/W65891367","https://openalex.org/W72736654","https://openalex.org/W74973629","https://openalex.org/W104209573","https://openalex.org/W121367636","https://openalex.org/W147447691","https://openalex.org/W159145550","https://openalex.org/W179223734","https://openalex.org/W258537497","https://openalex.org/W565312106","https://openalex.org/W1489617931","https://openalex.org/W1490468194","https://openalex.org/W1495150862","https://openalex.org/W1495989020","https://openalex.org/W1506156414","https://openalex.org/W1507039213","https://openalex.org/W1525538795","https://openalex.org/W1526993157","https://openalex.org/W1530039015","https://openalex.org/W1546501602","https://openalex.org/W1560474949","https://openalex.org/W1560564685","https://openalex.org/W1566015562","https://openalex.org/W1567573409","https://openalex.org/W1580045882","https://openalex.org/W1582357539","https://openalex.org/W1589034595","https://openalex.org/W1597759824","https://openalex.org/W1629074558","https://openalex.org/W1646354800","https://openalex.org/W1649758727","https://openalex.org/W1670326208","https://openalex.org/W1675339804","https://openalex.org/W1724472458","https://openalex.org/W1893972099","https://openalex.org/W1971445617","https://openalex.org/W1978884093","https://openalex.org/W1979502974","https://openalex.org/W1985439922","https://openalex.org/W1992226551","https://openalex.org/W1994790157","https://openalex.org/W2003736153","https://openalex.org/W2005760721","https://openalex.org/W2007466965","https://openalex.org/W2031533839","https://openalex.org/W2036378739","https://openalex.org/W2038619601","https://openalex.org/W2038761522","https://openalex.org/W2040236464","https://openalex.org/W2050689197","https://openalex.org/W2052267638","https://openalex.org/W2056332797","https://openalex.org/W2056748176","https://openalex.org/W2057728026","https://openalex.org/W2058180416","https://openalex.org/W2061171222","https://openalex.org/W2061949491","https://openalex.org/W2069285815","https://openalex.org/W2069448237","https://openalex.org/W2071825329","https://openalex.org/W2079219927","https://openalex.org/W2079392836","https://openalex.org/W2089477764","https://openalex.org/W2098290658","https://openalex.org/W2100416176","https://openalex.org/W2103418584","https://openalex.org/W2106970188","https://openalex.org/W2113393538","https://openalex.org/W2113992957","https://openalex.org/W2114664664","https://openalex.org/W2115638827","https://openalex.org/W2122086332","https://openalex.org/W2122973102","https://openalex.org/W2123316699","https://openalex.org/W2130410178","https://openalex.org/W2135124252","https://openalex.org/W2140256428","https://openalex.org/W2142048307","https://openalex.org/W2150624282","https://openalex.org/W2151413173","https://openalex.org/W2151954684","https://openalex.org/W2154909745","https://openalex.org/W2156186849","https://openalex.org/W2158359807","https://openalex.org/W2159044902","https://openalex.org/W2224364690","https://openalex.org/W2395302807","https://openalex.org/W2397062561","https://openalex.org/W2401833010","https://openalex.org/W2401911665","https://openalex.org/W2404668229","https://openalex.org/W2520282206","https://openalex.org/W2539997693","https://openalex.org/W2583174008","https://openalex.org/W2615588709","https://openalex.org/W2900370870","https://openalex.org/W2951482006","https://openalex.org/W3014312596","https://openalex.org/W3023478445","https://openalex.org/W3028633152","https://openalex.org/W3028898057","https://openalex.org/W3029417358","https://openalex.org/W3111297213","https://openalex.org/W3145128584","https://openalex.org/W3197144479","https://openalex.org/W4206293930","https://openalex.org/W4285719527","https://openalex.org/W4296980820","https://openalex.org/W4300503647","https://openalex.org/W6712239427","https://openalex.org/W6712682734"],"related_works":["https://openalex.org/W4298094689","https://openalex.org/W2905116383","https://openalex.org/W2101913026","https://openalex.org/W2093721992","https://openalex.org/W2986958271","https://openalex.org/W2032226069","https://openalex.org/W3172324685","https://openalex.org/W2741615439","https://openalex.org/W595866474","https://openalex.org/W2061949491"],"abstract_inverted_index":{"Digital":[0],"signatures":[1,137],"are":[2,11,24,86,157],"an":[3],"important":[4],"primitive":[5],"for":[6,159],"building":[7],"secure":[8],"systems":[9],"and":[10,108,127,138],"used":[12],"in":[13,99,134],"most":[14],"real-world":[15],"security":[16],"protocols.":[17],"However,":[18],"almost":[19],"all":[20],"popular":[21],"signature":[22,75,144],"schemes":[23,76,103,145],"either":[25],"based":[26,77],"on":[27,50,78,124],"the":[28,33,36,42,51,56,72,79,128,132,160],"factoring":[29],"assumption":[30],"(RSA)":[31],"or":[32,48],"hardness":[34,57,80],"of":[35,44,53,58,74,81,131,163],"discrete":[37],"logarithm":[38],"problem":[39],"(DSA/ECDSA).":[40],"In":[41,119],"case":[43],"classical":[45],"cryptanalytic":[46],"advances":[47],"progress":[49],"development":[52,162],"quantum":[54,92],"computers,":[55],"these":[59],"closely":[60],"related":[61],"problems":[62,84],"might":[63],"be":[64,89,111],"seriously":[65],"weakened.":[66],"A":[67],"potential":[68],"alternative":[69,115],"approach":[70],"is":[71],"construction":[73],"certain":[82],"lattice":[83],"that":[85,156],"assumed":[87],"to":[88,95,110,116,148],"intractable":[90],"by":[91],"computers.":[93],"Due":[94],"significant":[96],"research":[97,154],"advancements":[98],"recent":[100,125],"years,":[101],"lattice-based":[102,135,164],"have":[104],"now":[105],"become":[106],"practical":[107],"appear":[109],"a":[112,140],"very":[113],"viable":[114],"number-theoretic":[117],"cryptography.":[118,165],"this":[120],"article,":[121],"we":[122,151],"focus":[123],"developments":[126],"current":[129],"state":[130],"art":[133],"digital":[136],"provide":[139],"comprehensive":[141],"survey":[142],"discussing":[143],"with":[146],"respect":[147],"practicality.":[149],"Additionally,":[150],"discuss":[152],"future":[153],"areas":[155],"essential":[158],"continued":[161]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
