{"id":"https://openalex.org/W2345594340","doi":"https://doi.org/10.1109/itw.2016.7606856","title":"Well-rounded lattices for reliability and security in Rayleigh fading SISO channels","display_name":"Well-rounded lattices for reliability and security in Rayleigh fading SISO channels","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W2345594340","doi":"https://doi.org/10.1109/itw.2016.7606856","mag":"2345594340"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2016.7606856","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2016.7606856","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1605.00419","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083532771","display_name":"Oliver W. Gnilke","orcid":"https://orcid.org/0000-0003-1614-7464"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Oliver Wilhelm Gnilke","raw_affiliation_strings":["Department of Mathematics and Systems Analysis, School of Science, Aalto University, Finland","Department of Mathematics and Systems Analysis, Aalto University, School of Science, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Systems Analysis, School of Science, Aalto University, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Department of Mathematics and Systems Analysis, Aalto University, School of Science, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029576211","display_name":"Ha Thanh Nguyen Tran","orcid":"https://orcid.org/0000-0001-5180-586X"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Ha Thanh Nguyen Tran","raw_affiliation_strings":["Department of Mathematics and Systems Analysis, School of Science, Aalto University, Aalto, FI","Department of Mathematics and Systems Analysis, Aalto University, School of Science, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Systems Analysis, School of Science, Aalto University, Aalto, FI","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Department of Mathematics and Systems Analysis, Aalto University, School of Science, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047992448","display_name":"Alex Karrila","orcid":"https://orcid.org/0000-0002-9769-0372"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Alex Karrila","raw_affiliation_strings":["Department of Mathematics and Systems Analysis, School of Science, Aalto University, Finland","Department of Mathematics and Systems Analysis, Aalto University, School of Science, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Systems Analysis, School of Science, Aalto University, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"Department of Mathematics and Systems Analysis, Aalto University, School of Science, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035260653","display_name":"Camilla Hollanti","orcid":"https://orcid.org/0000-0001-5356-8669"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]},{"id":"https://openalex.org/I4210134318","display_name":"University of Technology","ror":"https://ror.org/03gbw6p94","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210134318"]}],"countries":["FI","RU"],"is_corresponding":false,"raw_author_name":"Camilla Hollanti","raw_affiliation_strings":["Department of Mathematics and Systems Analysis, School of Science, Aalto University, Finland","(Helsinki University of Technology)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Systems Analysis, School of Science, Aalto University, Finland","institution_ids":["https://openalex.org/I9927081"]},{"raw_affiliation_string":"(Helsinki University of Technology)","institution_ids":["https://openalex.org/I4210134318"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5083532771"],"corresponding_institution_ids":["https://openalex.org/I9927081"],"apc_list":null,"apc_paid":null,"fwci":0.6073,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71709879,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"359","last_page":"363"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998000264167786,"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"}},{"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"}}],"keywords":[{"id":"https://openalex.org/keywords/coset","display_name":"Coset","score":0.7985823750495911},{"id":"https://openalex.org/keywords/rayleigh-fading","display_name":"Rayleigh fading","score":0.526449978351593},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46202123165130615},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4582878649234772},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44978559017181396},{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.4420761466026306},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.43543541431427},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.43378937244415283},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.41411516070365906},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.34792864322662354},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33695271611213684},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3234627842903137},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2957548499107361},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19123873114585876},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.18645069003105164},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11924779415130615},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06544896960258484}],"concepts":[{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.7985823750495911},{"id":"https://openalex.org/C56985126","wikidata":"https://www.wikidata.org/wiki/Q854039","display_name":"Rayleigh fading","level":4,"score":0.526449978351593},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46202123165130615},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4582878649234772},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44978559017181396},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.4420761466026306},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.43543541431427},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.43378937244415283},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.41411516070365906},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34792864322662354},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33695271611213684},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3234627842903137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2957548499107361},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19123873114585876},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.18645069003105164},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11924779415130615},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06544896960258484},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/itw.2016.7606856","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2016.7606856","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1605.00419","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1605.00419","pdf_url":"https://arxiv.org/pdf/1605.00419","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":null,"raw_type":"text"},{"id":"mag:2345594340","is_oa":true,"landing_page_url":"https://www.arxiv.org/pdf/1605.00419.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/134365","is_oa":true,"landing_page_url":"http://ieeexplore.ieee.org/document/7606856/?reload=true","pdf_url":null,"source":{"id":"https://openalex.org/S4306401663","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"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":null,"raw_type":"acceptedVersion"},{"id":"doi:10.48550/arxiv.1605.00419","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1605.00419","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1605.00419","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1605.00419","pdf_url":"https://arxiv.org/pdf/1605.00419","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":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W610273277","https://openalex.org/W1491795425","https://openalex.org/W1527013905","https://openalex.org/W1566815411","https://openalex.org/W1626000505","https://openalex.org/W1974770505","https://openalex.org/W2016084247","https://openalex.org/W2017770568","https://openalex.org/W2018877773","https://openalex.org/W2043769961","https://openalex.org/W2053275186","https://openalex.org/W2069530276","https://openalex.org/W2079364662","https://openalex.org/W2092390447","https://openalex.org/W2098538375","https://openalex.org/W2129937339","https://openalex.org/W2217772850","https://openalex.org/W2268584517","https://openalex.org/W2284062147","https://openalex.org/W2284121324","https://openalex.org/W2952517257","https://openalex.org/W2963535786","https://openalex.org/W3098759113","https://openalex.org/W3099464177","https://openalex.org/W4206558398","https://openalex.org/W4293702014","https://openalex.org/W4297970783","https://openalex.org/W6636653214"],"related_works":["https://openalex.org/W2963535786","https://openalex.org/W2952939673","https://openalex.org/W3133151307","https://openalex.org/W2526868843","https://openalex.org/W1985564772","https://openalex.org/W1623567482","https://openalex.org/W2138653636","https://openalex.org/W2962943794","https://openalex.org/W2106469319","https://openalex.org/W1940337771","https://openalex.org/W3104363551","https://openalex.org/W2258537829","https://openalex.org/W2962768107","https://openalex.org/W2018877773","https://openalex.org/W2183068006","https://openalex.org/W1778583390","https://openalex.org/W2951668615","https://openalex.org/W2093654311","https://openalex.org/W2951149511","https://openalex.org/W3138145329"],"abstract_inverted_index":{"For":[0],"many":[1],"wiretap":[2,21],"channel":[3,42],"models":[4],"asymptotically":[5],"optimal":[6],"coding":[7,37],"schemes":[8],"are":[9,97,123],"known,":[10],"but":[11],"less":[12],"effort":[13],"has":[14],"been":[15],"put":[16],"into":[17],"actual":[18],"realizations":[19],"of":[20,62,78,90],"codes":[22,112],"for":[23,74],"practical":[24],"parameters.":[25],"Bounds":[26],"on":[27,38,57,99,119],"the":[28,51,75],"mutual":[29],"information":[30],"and":[31,48,50,113],"error":[32],"probability":[33,77],"when":[34],"using":[35,63],"coset":[36,92,111],"a":[39,70,87],"Rayleigh":[40],"fading":[41],"were":[43],"recently":[44],"established":[45],"by":[46],"Oggier":[47],"Belfiore,":[49],"results":[52,118],"in":[53,83],"this":[54],"paper":[55],"build":[56],"their":[58,64],"work.":[59],"However,":[60],"instead":[61],"ultimate":[65],"inverse":[66],"norm":[67],"sum":[68],"approximation,":[69],"more":[71],"precise":[72],"expression":[73],"eavesdropper's":[76],"correct":[79],"decision":[80],"is":[81],"used":[82],"order":[84],"to":[85,109],"determine":[86],"general":[88],"class":[89],"good":[91],"codes.":[93],"The":[94],"code":[95],"constructions":[96],"based":[98],"well-rounded":[100,120],"lattices":[101,122],"arising":[102],"from":[103],"simple":[104],"geometric":[105],"criteria.":[106],"In":[107],"addition":[108],"new":[110],"simulation":[114],"results,":[115],"novel":[116],"number-theoretic":[117],"ideal":[121],"presented.":[124]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-29T08:15:47.926485","created_date":"2022-10-04T00:00:00"}