{"id":"https://openalex.org/W4289655433","doi":"https://doi.org/10.1109/isit50566.2022.9834686","title":"On the Secrecy Gain of Formally Unimodular Construction A <sub>4</sub> Lattices","display_name":"On the Secrecy Gain of Formally Unimodular Construction A <sub>4</sub> Lattices","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4289655433","doi":"https://doi.org/10.1109/isit50566.2022.9834686"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834686","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834686","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","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/A5062944805","display_name":"Maiara F. Bollauf","orcid":"https://orcid.org/0000-0002-6195-492X"},"institutions":[{"id":"https://openalex.org/I2799829267","display_name":"Simula Research Laboratory","ror":"https://ror.org/00vn06n10","country_code":"NO","type":"facility","lineage":["https://openalex.org/I2799829267"]},{"id":"https://openalex.org/I4387153661","display_name":"Simula UiB","ror":"https://ror.org/05kmggt55","country_code":null,"type":"nonprofit","lineage":["https://openalex.org/I2799829267","https://openalex.org/I4387153661","https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Maiara F. Bollauf","raw_affiliation_strings":["Simula UiB,Bergen,Norway,N-5006"],"affiliations":[{"raw_affiliation_string":"Simula UiB,Bergen,Norway,N-5006","institution_ids":["https://openalex.org/I2799829267","https://openalex.org/I4387153661"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022827613","display_name":"Hsuan-Yin Lin","orcid":"https://orcid.org/0000-0001-8030-1919"},"institutions":[{"id":"https://openalex.org/I2799829267","display_name":"Simula Research Laboratory","ror":"https://ror.org/00vn06n10","country_code":"NO","type":"facility","lineage":["https://openalex.org/I2799829267"]},{"id":"https://openalex.org/I4387153661","display_name":"Simula UiB","ror":"https://ror.org/05kmggt55","country_code":null,"type":"nonprofit","lineage":["https://openalex.org/I2799829267","https://openalex.org/I4387153661","https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Hsuan-Yin Lin","raw_affiliation_strings":["Simula UiB,Bergen,Norway,N-5006"],"affiliations":[{"raw_affiliation_string":"Simula UiB,Bergen,Norway,N-5006","institution_ids":["https://openalex.org/I2799829267","https://openalex.org/I4387153661"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081966529","display_name":"\u00d8yvind Ytrehus","orcid":"https://orcid.org/0000-0001-5223-7577"},"institutions":[{"id":"https://openalex.org/I2799829267","display_name":"Simula Research Laboratory","ror":"https://ror.org/00vn06n10","country_code":"NO","type":"facility","lineage":["https://openalex.org/I2799829267"]},{"id":"https://openalex.org/I4387153661","display_name":"Simula UiB","ror":"https://ror.org/05kmggt55","country_code":null,"type":"nonprofit","lineage":["https://openalex.org/I2799829267","https://openalex.org/I4387153661","https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"\u00d8yvind Ytrehus","raw_affiliation_strings":["Simula UiB,Bergen,Norway,N-5006"],"affiliations":[{"raw_affiliation_string":"Simula UiB,Bergen,Norway,N-5006","institution_ids":["https://openalex.org/I2799829267","https://openalex.org/I4387153661"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062944805"],"corresponding_institution_ids":["https://openalex.org/I2799829267","https://openalex.org/I4387153661"],"apc_list":null,"apc_paid":null,"fwci":1.2819,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76256691,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3226","last_page":"3231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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":0.9998000264167786,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9997000098228455,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/unimodular-matrix","display_name":"Unimodular matrix","score":0.9594640731811523},{"id":"https://openalex.org/keywords/secrecy","display_name":"Secrecy","score":0.8213076591491699},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6266192197799683},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5650526285171509},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5381378531455994},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5326822400093079},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38713061809539795},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.381950318813324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2652417719364166},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.20511236786842346},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.1680031716823578},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1347840428352356},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10985103249549866}],"concepts":[{"id":"https://openalex.org/C201958917","wikidata":"https://www.wikidata.org/wiki/Q1367055","display_name":"Unimodular matrix","level":2,"score":0.9594640731811523},{"id":"https://openalex.org/C2776452267","wikidata":"https://www.wikidata.org/wiki/Q1503443","display_name":"Secrecy","level":2,"score":0.8213076591491699},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6266192197799683},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5650526285171509},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5381378531455994},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5326822400093079},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38713061809539795},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.381950318813324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2652417719364166},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.20511236786842346},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.1680031716823578},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1347840428352356},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10985103249549866},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834686","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834686","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W205931036","https://openalex.org/W1538720896","https://openalex.org/W1556443961","https://openalex.org/W1594587694","https://openalex.org/W1606480398","https://openalex.org/W1626000505","https://openalex.org/W1993913758","https://openalex.org/W2017281562","https://openalex.org/W2018877773","https://openalex.org/W2038681062","https://openalex.org/W2043769961","https://openalex.org/W2060483042","https://openalex.org/W2087796520","https://openalex.org/W2129517811","https://openalex.org/W2158848893","https://openalex.org/W2165685544","https://openalex.org/W2760825081","https://openalex.org/W2786609189","https://openalex.org/W2962920048","https://openalex.org/W2963275892","https://openalex.org/W2964113506","https://openalex.org/W3101171379","https://openalex.org/W3141610964","https://openalex.org/W4206775542","https://openalex.org/W4249397549","https://openalex.org/W4286859938","https://openalex.org/W4289655433","https://openalex.org/W4292408570","https://openalex.org/W6802810413"],"related_works":["https://openalex.org/W2011745869","https://openalex.org/W2088028898","https://openalex.org/W2950905816","https://openalex.org/W211627054","https://openalex.org/W1608437562","https://openalex.org/W3141916192","https://openalex.org/W2951847762","https://openalex.org/W2171197936","https://openalex.org/W2094499544","https://openalex.org/W2067018439"],"abstract_inverted_index":{"Lattice":[0],"coding":[1],"for":[2],"the":[3,10,27,44,47,54,58,104,110],"Gaussian":[4],"wiretap":[5],"channel":[6],"is":[7,12,74,122],"considered,":[8],"where":[9],"goal":[11],"to":[13,42,82],"ensure":[14],"reliable":[15],"communication":[16],"between":[17],"two":[18],"authorized":[19],"parties":[20],"while":[21],"preventing":[22],"an":[23],"eavesdropper":[24],"from":[25,70,109],"learning":[26],"transmitted":[28],"messages.":[29],"Recently,":[30],"a":[31,39,79,99,113],"measure":[32],"called":[33],"secrecy":[34,85,101],"gain":[35,102],"was":[36],"proposed":[37],"as":[38],"design":[40],"criterion":[41],"quantify":[43],"secrecy-goodness":[45],"of":[46,57,117],"applied":[48],"lattice":[49],"code.":[50],"In":[51],"this":[52],"paper,":[53],"theta":[55],"series":[56],"so-called":[59],"formally":[60,106,118],"unimodular":[61,107],"lattices":[62,96,108],"obtained":[63],"by":[64],"Construction":[65,91],"A":[66,92],"<inf":[67,93],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[68,94],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">4</inf>":[69,95],"codes":[71,121],"over":[72],"${{\\mathbb{Z}}_4}$":[73],"derived,":[75],"and":[76],"we":[77],"provide":[78],"universal":[80],"approach":[81],"determine":[83],"their":[84],"gains.":[86],"Initial":[87],"results":[88],"indicate":[89],"that":[90],"can":[97],"achieve":[98],"higher":[100],"than":[103],"best-known":[105],"literature.":[111],"Furthermore,":[112],"new":[114],"code":[115],"construction":[116],"self-dual":[119],"${{\\mathbb{Z}}_4}$-linear":[120],"presented.":[123]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}