{"id":"https://openalex.org/W3087328092","doi":"https://doi.org/10.1109/itw46852.2021.9457596","title":"Higher Rates and Information-Theoretic Analysis for the RLWE Channel","display_name":"Higher Rates and Information-Theoretic Analysis for the RLWE Channel","publication_year":2021,"publication_date":"2021-04-11","ids":{"openalex":"https://openalex.org/W3087328092","doi":"https://doi.org/10.1109/itw46852.2021.9457596","mag":"3087328092"},"language":"en","primary_location":{"id":"doi:10.1109/itw46852.2021.9457596","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw46852.2021.9457596","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},"type":"preprint","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/A5006561975","display_name":"Georg Maringer","orcid":"https://orcid.org/0000-0002-2868-5131"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Georg Maringer","raw_affiliation_strings":["Institute for Communications Engineering, Technical University of Munich","Technical University of Munich,Institute for Communications Engineering"],"affiliations":[{"raw_affiliation_string":"Institute for Communications Engineering, Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Technical University of Munich,Institute for Communications Engineering","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009036826","display_name":"Sven Puchinger","orcid":"https://orcid.org/0000-0002-7474-2678"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Sven Puchinger","raw_affiliation_strings":["Dept. of Applied Mathematics and Computer Science, Technical University of Denmark","Technical University of Denmark,Dept. of Applied Mathematics and Computer Science"],"affiliations":[{"raw_affiliation_string":"Dept. of Applied Mathematics and Computer Science, Technical University of Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Technical University of Denmark,Dept. of Applied Mathematics and Computer Science","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041962883","display_name":"Antonia Wachter-Zeh","orcid":"https://orcid.org/0000-0002-5174-1947"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Antonia Wachter-Zeh","raw_affiliation_strings":["Institute for Communications Engineering, Technical University of Munich","Technical University of Munich,Institute for Communications Engineering"],"affiliations":[{"raw_affiliation_string":"Institute for Communications Engineering, Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Technical University of Munich,Institute for Communications Engineering","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006561975"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":0.14,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51408894,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9944999814033508,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9911999702453613,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.7905676364898682},{"id":"https://openalex.org/keywords/nist","display_name":"NIST","score":0.6254785060882568},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6088977456092834},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5848380923271179},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.5655012130737305},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.49009689688682556},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.48307421803474426},{"id":"https://openalex.org/keywords/standardization","display_name":"Standardization","score":0.4802413582801819},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4677474796772003},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4520258605480194},{"id":"https://openalex.org/keywords/information-transmission","display_name":"Information transmission","score":0.4502408802509308},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.44462013244628906},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4336757957935333},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.10119476914405823},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10073277354240417}],"concepts":[{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.7905676364898682},{"id":"https://openalex.org/C111219384","wikidata":"https://www.wikidata.org/wiki/Q6954384","display_name":"NIST","level":2,"score":0.6254785060882568},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6088977456092834},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5848380923271179},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.5655012130737305},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.49009689688682556},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.48307421803474426},{"id":"https://openalex.org/C188087704","wikidata":"https://www.wikidata.org/wiki/Q369577","display_name":"Standardization","level":2,"score":0.4802413582801819},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4677474796772003},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4520258605480194},{"id":"https://openalex.org/C2983568541","wikidata":"https://www.wikidata.org/wiki/Q389772","display_name":"Information transmission","level":2,"score":0.4502408802509308},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.44462013244628906},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4336757957935333},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10119476914405823},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10073277354240417},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/itw46852.2021.9457596","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw46852.2021.9457596","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.atira.dk:publications/36c48686-fe3f-4dff-a296-228e8a4ca92e","is_oa":false,"landing_page_url":"https://orbit.dtu.dk/en/publications/36c48686-fe3f-4dff-a296-228e8a4ca92e","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Maringer , G , Puchinger , S &amp; Wachter-Zeh , A 2021 , Higher rates and information-theoretic analysis for the RLWE channel . in Proceedings of 2020 IEEE Information Theory Workshop . , 9457595 , IEEE , 2020 IEEE Information Theory Workshop , Riva del Garda , Italy , 11/04/2021 . https://doi.org/10.1109/ITW46852.2021.9457596","raw_type":"contributionToPeriodical"},{"id":"mag:3087328092","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2007466965","https://openalex.org/W2071825329","https://openalex.org/W2106970188","https://openalex.org/W2137147061","https://openalex.org/W2514893051","https://openalex.org/W2995313039","https://openalex.org/W4205765479","https://openalex.org/W6749580488"],"related_works":["https://openalex.org/W2781263269","https://openalex.org/W2025126575","https://openalex.org/W2584864420","https://openalex.org/W2952316990","https://openalex.org/W2076213784","https://openalex.org/W2949607150","https://openalex.org/W2951340565","https://openalex.org/W2405748352","https://openalex.org/W2979529341","https://openalex.org/W2953015727","https://openalex.org/W3160097163","https://openalex.org/W2212077392","https://openalex.org/W3028848497","https://openalex.org/W2938719252","https://openalex.org/W2931841621","https://openalex.org/W2949471063","https://openalex.org/W2466661267","https://openalex.org/W2949290997","https://openalex.org/W2920964718","https://openalex.org/W2892191407"],"abstract_inverted_index":{"The":[0,63],"<i":[1,4,7,34,37,40,43,109,138,141,144],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[2,5,8,35,38,41,44,110,139,142,145],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">Learning</i>":[3,39],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">with</i>":[6,42],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">Errors</i>":[9,45],"(LWE)":[10],"problem":[11,18,47],"is":[12,91],"considered":[13],"to":[14,108,135,256],"be":[15,75,206],"a":[16,152,229,236,252],"hard":[17],"and":[19,61,67,114,173,235],"lies":[20],"the":[21,31,52,58,84,92,97,121,124,137,156,163,180,185,191,209,215,225,244,247],"foundation":[22],"of":[23,65,72,86,99,123,158,193,231,238],"various":[24],"cryptographic":[25],"algorithms.":[26],"Several":[27],"cryptosystems":[28],"based":[29],"on":[30,155],"closely":[32],"related":[33,125],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">Ring</i>":[36],"(RLWE)":[46],"have":[48],"been":[49],"proposed":[50],"within":[51],"NIST":[53],"PQC":[54],"standardization":[55],"process,":[56],"e.g.,":[57],"systems":[59],"LAC":[60,172,234],"NewHope.":[62],"combination":[64],"encryption":[66],"decryption":[68],"for":[69,171,176,184,233,240,246],"these":[70],"kinds":[71],"algorithms":[73],"can":[74,204],"interpreted":[76],"as":[77],"data":[78],"transmission":[79],"over":[80],"noisy":[81],"channels.":[82],"To":[83],"best":[85],"our":[87],"knowledge":[88],"this":[89,100,104,117,159],"paper":[90],"first":[93],"work":[94],"that":[95,116,162,200],"analyzes":[96],"capacity":[98,157],"channel.":[101],"We":[102,150],"extend":[103],"channel":[105,160],"from":[106,148],"binary":[107],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</i>":[111],"-ary":[112],"alphabets":[113],"show":[115,199],"does":[118],"not":[119],"compromise":[120],"security":[122,253],"RLWE-based":[126],"schemes":[127],"if":[128],"appropriate":[129],"error":[130],"correcting":[131],"codes":[132],"are":[133,167],"used":[134],"prevent":[136],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">decryption</i>":[140],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">failure</i>":[143],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">rate</i>":[146],"(DFR)":[147],"increasing.":[149],"give":[151,220],"lower":[153],"bound":[154],"showing":[161],"achievable":[164,226],"asymptotic":[165],"rates":[166,203],"substantially":[168,201],"(5.7":[169],"times":[170,175],"10.7":[174],"NewHope)":[177],"higher":[178,202],"than":[179],"currently":[181],"deployed":[182],"ones":[183],"finite":[186,210],"length":[187,211],"regime.":[188],"Furthermore,":[189],"under":[190],"assumption":[192],"stochastically":[194],"independent":[195],"coefficient":[196],"failures,":[197],"we":[198,219],"also":[205],"achieved":[207],"in":[208],"setting":[212],"by":[213,228],"using":[214],"Gilbert-Varshamov":[216],"bound.":[217],"Moreover,":[218],"explicit":[221],"code":[222],"constructions":[223],"increasing":[224,243],"rate":[227],"factor":[230,237],"2":[232],"7":[239],"NewHope":[241],"without":[242],"DFR":[245],"respective":[248],"parameter":[249],"sets":[250],"achieving":[251],"level":[254],"equivalent":[255],"AES256.":[257]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-18T05:59:34.339393","created_date":"2025-10-10T00:00:00"}
