{"id":"https://openalex.org/W1580045882","doi":"https://doi.org/10.1007/978-3-642-33481-8_8","title":"Towards Efficient Arithmetic for Lattice-Based Cryptography on Reconfigurable Hardware","display_name":"Towards Efficient Arithmetic for Lattice-Based Cryptography on Reconfigurable Hardware","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1580045882","doi":"https://doi.org/10.1007/978-3-642-33481-8_8","mag":"1580045882"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-33481-8_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-33481-8_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","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, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Horst G\u00f6rtz Institute for IT-Security, Ruhr-University Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]},{"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, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Horst G\u00f6rtz Institute for IT-Security, Ruhr-University Bochum, Germany","institution_ids":["https://openalex.org/I904495901"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":11.7424,"has_fulltext":false,"cited_by_count":160,"citation_normalized_percentile":{"value":0.98870385,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"139","last_page":"158"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9993000030517578,"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":0.9987999796867371,"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/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.8085911273956299},{"id":"https://openalex.org/keywords/lattice-based-cryptography","display_name":"Lattice-based cryptography","score":0.7328392863273621},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.6658229827880859},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5948411226272583},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5721457600593567},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.5595828890800476},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5135540962219238},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.49099281430244446},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.47689250111579895},{"id":"https://openalex.org/keywords/learning-with-errors","display_name":"Learning with errors","score":0.47129976749420166},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4312276840209961},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41505929827690125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37726283073425293},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.37442004680633545},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2255440652370453},{"id":"https://openalex.org/keywords/quantum-cryptography","display_name":"Quantum cryptography","score":0.22300437092781067},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.12778571248054504},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.10841268301010132}],"concepts":[{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.8085911273956299},{"id":"https://openalex.org/C137660015","wikidata":"https://www.wikidata.org/wiki/Q6497083","display_name":"Lattice-based cryptography","level":5,"score":0.7328392863273621},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.6658229827880859},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5948411226272583},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5721457600593567},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.5595828890800476},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5135540962219238},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.49099281430244446},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.47689250111579895},{"id":"https://openalex.org/C2779014939","wikidata":"https://www.wikidata.org/wiki/Q6510239","display_name":"Learning with errors","level":3,"score":0.47129976749420166},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4312276840209961},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41505929827690125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37726283073425293},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.37442004680633545},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2255440652370453},{"id":"https://openalex.org/C144901912","wikidata":"https://www.wikidata.org/wiki/Q471906","display_name":"Quantum cryptography","level":4,"score":0.22300437092781067},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.12778571248054504},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.10841268301010132},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-33481-8_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-33481-8_8","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":79,"referenced_works":["https://openalex.org/W121367636","https://openalex.org/W127770406","https://openalex.org/W147447691","https://openalex.org/W149470655","https://openalex.org/W159145550","https://openalex.org/W565312106","https://openalex.org/W1493856790","https://openalex.org/W1506156414","https://openalex.org/W1507039213","https://openalex.org/W1521253015","https://openalex.org/W1525538795","https://openalex.org/W1546634390","https://openalex.org/W1557689908","https://openalex.org/W1566015562","https://openalex.org/W1566706564","https://openalex.org/W1589421353","https://openalex.org/W1598269861","https://openalex.org/W1649758727","https://openalex.org/W1659664084","https://openalex.org/W1675339804","https://openalex.org/W1761303171","https://openalex.org/W1766548092","https://openalex.org/W1936753088","https://openalex.org/W1979502974","https://openalex.org/W1982022511","https://openalex.org/W2004753050","https://openalex.org/W2008009538","https://openalex.org/W2031533839","https://openalex.org/W2053421308","https://openalex.org/W2059342205","https://openalex.org/W2061171222","https://openalex.org/W2061949491","https://openalex.org/W2062719800","https://openalex.org/W2069448237","https://openalex.org/W2079392836","https://openalex.org/W2083368929","https://openalex.org/W2096218735","https://openalex.org/W2098290658","https://openalex.org/W2100416176","https://openalex.org/W2106970188","https://openalex.org/W2111809688","https://openalex.org/W2113994308","https://openalex.org/W2122086332","https://openalex.org/W2138391902","https://openalex.org/W2138594561","https://openalex.org/W2142048307","https://openalex.org/W2144669339","https://openalex.org/W2144695012","https://openalex.org/W2146521980","https://openalex.org/W2150468768","https://openalex.org/W2152926062","https://openalex.org/W2163115793","https://openalex.org/W2163469693","https://openalex.org/W2164327070","https://openalex.org/W2166959890","https://openalex.org/W2168676717","https://openalex.org/W2183439951","https://openalex.org/W2274238134","https://openalex.org/W2395302807","https://openalex.org/W2398715209","https://openalex.org/W2401959250","https://openalex.org/W2478327424","https://openalex.org/W2479682916","https://openalex.org/W2486433473","https://openalex.org/W2495645347","https://openalex.org/W2495889793","https://openalex.org/W2496045601","https://openalex.org/W2525966718","https://openalex.org/W2539997693","https://openalex.org/W2580496263","https://openalex.org/W2621588932","https://openalex.org/W2752885492","https://openalex.org/W2952124326","https://openalex.org/W3145100885","https://openalex.org/W3145128584","https://openalex.org/W3152237128","https://openalex.org/W4214671568","https://openalex.org/W4250710297","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2963103512","https://openalex.org/W3029045823","https://openalex.org/W2400565204","https://openalex.org/W2885113919","https://openalex.org/W3121459986","https://openalex.org/W3174551526","https://openalex.org/W3003331030","https://openalex.org/W4205350912","https://openalex.org/W4394788392","https://openalex.org/W4280577625"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":14},{"year":2021,"cited_by_count":17},{"year":2020,"cited_by_count":18},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":16},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":5}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}